# Chapter 1. Oscillations. Oscillations

Save this PDF as:

Size: px
Start display at page:

## Transcription

1 Oscillations 1. A mass m hanging on a spring with a spring constant k has simple harmonic motion with a period T. If the mass is doubled to 2m, the period of oscillation A) increases by a factor of 2. D) decreases by a factor of B) decreases by a factor of 2. E) is not affected. C) increases by a factor of 2. The frequency of a simple harmonic motion is s 1. The oscillation starts (t = 0) when the displacement has its maximum positive value of cm. The earliest possible time at which the particle can be found at x = cm is A) s D) s B) s E) s C) s 3. A mass m hanging on a spring with a spring constant k executes simple harmonic motion with a period T. If the same mass is hung from a spring with a spring constant of 2k, the period of oscillation A) increases by a factor of 2. D) decreases by a factor of. B) decreases by a factor of 2. E) is not affected. C) increases by a factor of. 4. You want a mass that, when hung on the end of a spring, oscillates with a period of 1 s. If the spring has a spring constant of 10 N/m, the mass should be A) 10 kg D) 10/(4π 2 ) kg B) E) None of these is correct. C) 4π 2 (10) kg 5. The instantaneous speed of a mass undergoing simple harmonic motion on the end of a spring depends on A) the amplitude of oscillation. B) The frequency of oscillation. C) the period of oscillation. D) the time at which the speed is measured. E) all of these. Page 1

2 6. A particle is oscillating with simple harmonic motion. The frequency of the motion is 10 Hz and the amplitude of the motion is 5.0 cm. As the particle passes its central equilibrium position, the acceleration of the particle is A) 100 cm/s 2 D) zero B) cm/s 2 E) cm/s 2 C) cm/s 2 7. Any body moving with simple harmonic motion is being acted on by a force that is A) constant. B) proportional to a sine or cosine function of the displacement. C) proportional to the inverse square of the displacement. D) directly proportional to the displacement. E) proportional to the square of the displacement. 8. A body moves with simple harmonic motion according to the equation x = (2/π) sin(4πt + π/3) where the units are SI. At t = 2 s, the speed of the body is A) 1/3 m/s B) 1/π m/s C) D) 4 m/s E) 9. A spring vibrates in simple harmonic motion according to the equation x = 15 cos πt where x is in centimeters and t is in seconds. The total number of vibrations this body makes in 10 s is A) 0.5 B) 10 C) π D) 15 E) A spring vibrates in simple harmonic motion according to the equation x = 0.15 cos πt where the units are SI. The period of the motion is A) 0.67 s B) 1.0 s C) 2.0 s D) π s E) 3.2 s 11. A body of mass 5.0 kg moves in simple harmonic motion according to the equation x = sin(30t + π/6) where the units are SI. The period of this motion is A) 1/30 s B) π/15 s C) π/6 s D) 15/π s E) 30 s Page 2

3 12. A body of mass 5.0 kg moves in simple harmonic motion according to the equation x = sin(30t + π/6) where the units are SI. The maximum speed of this body is approximately A) m/s B) 0.40 m/s C) 0.60 m/s D) 1.2 m/s E) 30 m/s 13. A body of mass 0.50 kg moves in simple harmonic motion with a period of 1.5 s and an amplitude of 20 mm. Which of the following equations correctly represents this motion? A) x = 40 cos(t/1.5) mm D) x = 20 sin(1.5πt) mm B) x = 40 cos(2πt/1.5) mm E) x = 20 sin(2πt/1.5) mm C) x = 20 sin(t/1.5) mm 14. A particle moves in one dimension with simple harmonic motion according to the equation d 2 x/dt 2 = 4π 2 x where the units are SI. Its period is A) 4π 2 s B) 2π s C) 1 s D) 1/(2π) s E) 1/(4π 2 ) s 15. The top graph represents the variation of displacement with time for a particle executing simple harmonic motion. Which curve in the bottom graph represents the variation of acceleration with time for the same particle? A) 1 B) 2 C) 3 D) 4 E) None of these is correct. Page 3

4 16. In the following equations, a is acceleration, r is a fixed distance, s is displacement, and m is mass. Which equation describes simple harmonic motion? A) a = kr 2 B) a = πr 2 C) a = ks 1 D) a = 4πmr 2 /3 E) a = 4πms/3 17. In simple harmonic motion, the displacement x = A cos ωt and the acceleration a = ω 2 x. If A = 0.25 m and the period is 0.32 s, the acceleration when t = 0.12 s is A) zero B) +3.9 m/s 2 C) 3.9 m/s 2 D) +6.8 m/s 2 E) 6.8 m/s 2 Use the following to answer questions The object in the diagram is in circular motion. Its position at t = 0 was (A, 0). Its frequency is f. The y component of its position is given by A) y = y 0 + v 0y t +½ at 2 D) y = A sin 2πft B) y = A cos 2πft E) y = A cos ft C) y = A sin ft 19. The object in the diagram is in circular motion with frequency f. At t = 0 it was at (A, 0). The y component of its velocity is given by A) v y 2 = v 0y 2 + 2a(y y 0 ) D) vy = 2πfA sin 2πft B) v y = 2πfA cos 2πft E) v y = A cos ft C) v y = A sin ft 20. The object in the diagram is in circular motion with frequency f. At t = 0 it was at (A, 0). The y component of its acceleration is given by A) a y = (v y v 0y )/t D) a y = (2πf) 2 A sin 2πft B) a y = (2πf) 2 A cos 2πft E) a y = (2π) 2 A cos 2πt C) a y = (2π) 2 A sin 2πt Page 4

5 21. A body of mass M is executing simple harmonic motion with an amplitude of 8.0 cm and a maximum acceleration of 100 cm/s 2. When the displacement of this body from the equilibrium position is 6.0 cm, the magnitude of the acceleration is approximately A) 8.7 cm/s 2 B) 21 cm/s 2 C) 35 cm/s 2 D) 17 cm/s 2 E) 1.3 m/s A light spring stretches 0.13 m when a 0.35 kg mass is hung from it. The mass is pulled down from this equilibrium position an additional 0.15 m and then released. Determine the maximum speed of the mass. A) 1.10 m/s B) 2.75 m/s C) 11.4 m/s D) 1.25 m/s E) 0.02 m/s 23. A 2.50-kg object is attached to a spring of force constant k = 4.50 kn/m. The spring is stretched 10.0 cm from equilibrium and released. What is the maximum kinetic energy of this system? A) 45.0 J B) 22.5 J C) 56.0 J D) J E) 4.50 J 24. A mass attached to a spring has simple harmonic motion with an amplitude of 4.0 cm. When the mass is 2.0 cm from the equilibrium position, what fraction of its total energy is potential energy? A) one-quarter B) one-third C) one-half D) two-thirds E) three-quarters 25. When the compression of a spring is doubled, the potential energy stored in the spring is A) the same as before. D) increased by a factor of 8. B) doubled. E) None of these is correct. C) tripled. 26. The energy of a simple harmonic oscillator could be doubled by increasing the amplitude by a factor of A) 0.7 B) 1.0 C) 1.4 D) 2.0 E) The force constant for a simple harmonic motion is k and the amplitude of the motion is A. The maximum value of the potential energy of a mass m oscillating with simple harmonic motion is A) B) ½ ka 2 C) ka 2 D) ka E) None of these is correct. 28. When the displacement of an object in simple harmonic motio n is one-quarter of the amplitude A, the potential energy is what fraction of the total energy? A) ¼ B) ½ C) 1/16 D) Too little information is given to answer correctly. E) None of these is correct. Ans: C Page 5

6 29. If the amplitude of a simple harmonic oscillator is doubled, the total energy is A) unchanged. D) doubled. B) one-fourth as large. E) quadrupled. C) half as large. 30. Which of the following statements is true of a particle that is moving in simple harmonic motion? A) The momentum of the particle is constant. B) The kinetic energy of the particle is constant. C) The potential energy of the earth particle system is constant. D) The acceleration of the particle is constant. E) The force the particle experiences is a negative restoring force. 31. A body moving in simple harmonic motion has maximum acceleration when it has A) maximum velocity. D) minimum kinetic energy. B) maximum kinetic energy. E) zero displacement. C) minimum potential energy. 32. The displacement in simple harmonic motion is a maximum when the A) acceleration is zero. D) kinetic energy is a maximum. B) velocity is a maximum. E) potential energy is a minimum. C) velocity is zero. 33. In simple harmonic motion, the magnitude of the acceleration of a body is always directly proportional to its A) displacement. D) potential energy. B) velocity. E) kinetic energy. C) mass. 34. The displacement of a body moving with simple harmonic motion is given by the equation y = A sin(2πt + ½π) After one-quarter of a period has elapsed since t = 0, which of the following statements is correct? A) Half the total energy of the body is kinetic energy and half is potential energy. B) The kinetic energy is a maximum. C) The potential energy is a maximum. D) The total energy is a negative maximum. E) Both kinetic and potential energies are maxima. Page 6

7 35. A system consists of a mass vibrating on the end of a spring. The total mechanical energy of this system A) varies as a sine or cosine function. B) is constant only when the mass is at maximum displacement. C) is a maximum when the mass is at its equilibrium position only. D) is constant, regardless of the displacement of the mass from the equilibrium position. E) is always equal to the square of the amplitude. 36. A 2-kg mass oscillates in one dimension with simple harmonic motion on the end of a massless spring on a horizontal frictionless table according to x = (6/π) cos(½πt+ 3π) where the units are SI. The total mechanical energy of this system is A) 1 J B) 3 J C) 5 J D) 7 J E) 9 J 37. A kg block starts from rest and slides 3.05 m down a frictionless plane inclined at 53º to the horizontal. At the bottom it slides 9.14 m over a horizontal frictionless plane before compressing a spring (k = 14.7 N/m) a distance x and coming momentarily to rest. The value of x is approximately A) m B) 1.52 m C) 2.44 m D) 1.83 m E) 1.21 m 38. A body on a spring is vibrating in simple harmonic motion about an equilibrium position indicated by the dashed line. The figure that shows the body with maximum acceleration is A) 1 B) 2 C) 3 D) 4 E) 5 Page 7

8 39. A 0.5-kg mass is suspended from a massless spring that has a force constant of 79 N/m. The mass is displaced 0.1 m down from its equilibrium position and released. If the downward direction is negative, the displacement of the mass as a function of time is given by A) y = 0.1 cos(158t π) D) y = 0.2 cos(12.6t + π) B) y = 0.2 cos(158t π) E) y = 0.1 cos(2t + π) C) y = 0.1 cos(12.6t π) 40. A spring is cut in half. The ratio of the force constant of one of the halves to the force constant of the original spring is A) ½ B) 1 C) 2 D) 4 E) ¼ 41. The mass on the end of the spring (which stretches linearly) is in equilibrium as shown. It is pulled down so that the pointer is opposite the 11-cm mark and then released. The mass experiences its maximum upward velocity at which of the following positions? A) 3-cm mark D) 11-cm mark B) 7-cm mark E) None of these is correct. C) 1-cm mark Page 8

9 42. A mass of 2.00 kg suspended from a spring 100 cm long is pulled down 4.00 cm from its equilibrium position and released. The amplitude of vibration of the resulting simple harmonic motion is A) 4.00 cm B) 2.00 cm C) 8.00 cm D) 1.04 cm E) 1.02 cm 43. Both a mass spring system and a simple pendulum have a period of 1 s. Both are taken to the moon in a lunar landing module. While they are inside the module on the surface of the moon, A) the pendulum has a period longer than 1 s. B) the mass spring system has a period longer than 1 s. C) both a and b are true. D) the periods of both are unchanged. E) one of them has a period shorter than 1 s. 44. If the length of a simple pendulum with a period T is reduced to half of its original value, the new period T is approximately A) 0.5T B) 0.7T C) T (unchanged) D) 1.4T E) 2T 45. To double the period of a pendulum, the length A) must be increased by a factor of 2. D) must be increased by a factor of 4. B) must be decreased by a factor of 2. E) need not be affected. C) must be increased by a factor of. Page 9

10 46. A clock keeps accurate time when the length of its simple pendulum is L. If the length of the pendulum is increased a small amount, which of the following is true? A) The clock will run slow. B) The clock will run fast. C) The clock will continue to keep accurate time. D) The answer cannot be determined without knowing the final length of the pendulum. E) The answer cannot be determined without knowing the perce ntage increase in the length of the pendulum. 47. What must be the length of a simple pendulum with a period of 2.0 s if g = 9.8 m/s 2? A) 99 cm B) 97 m C) 6.2 cm D) 3.1 m E) 2.0 m 48. A simple pendulum on the earth has a period T. The period of this pendulum could be decreased by A) increasing the mass of the pendulum bob. B) taking the pendulum to the moon. C) taking the pendulum to the planet Jupiter (M Jupiter = 315M Earth ). D) decreasing the mass of the pendulum bob. E) increasing the length of the wire supporting the pendulum. 49. If the length of a simple pendulum is increased by 4% and the mass is decreased by 4%, the period is A) not changed. D) increased by 4%. B) increased by 2%. E) decreased by 2%. C) decreased by 4%. 50. Which of the following statements concerning the motion of a simple pendulum is incorrect? A) The kinetic energy is a maximum when the displacement is a maximum. B) The acceleration is a maximum when the displacement is a maximum. C) The period is changed if the mass of the bob is doubled and the length of the pendulum is halved. D) The time interval between conditions of maximum potential energy is one period. E) The velocity is a maximum when the acceleration is a minimum. 51. A pendulum is oscillating with a total mechanical energy E 0. When the pendulum is at its maximum displacement, the kinetic energy K and the potential energy U are A) K = ½E 0 ; U = ½E 0 D) K = E 0 ; U = 0 B) K = 0; U = E 0 E) K = E 0 ; U = ½E 0 C) K = E 0 ; U = E 0 Page 10

11 52. The graph shows the period squared versus the length for a simple pendulum. The slope of the graph corresponds to A) 1/g B) g/(4π 2 ) C) g D) 4π 2 /g E) 4π 2 g 53. An oscillator has a quality factor of 300. By what percentage does its energy decrease in each cycle? A) 0.33% B) 1% C) 2% D) 3% E) 4% 54. The energy of an oscillator decreases by 3% each cycle. The quality factor of this oscillator is approximately A) 209 B) 157 C) 87 D) 63 E) Which of the following statements is true for a simple harmonic oscillator that is not subject to dissipative forces? A) The potential energy of the system attains a maximum value when the displacement is one-half the amplitude. B) The kinetic energy of the system attains a maximum value when the acceleration has the greatest absolute value. C) The total mechanical energy of the system decreases as the mass slows down and increases as the mass speeds up. D) The total mechanical energy of the system is equal to the maximum value of the kinetic energy of the system. Use the following to answer questions Page 11

12 56. The graph shows the average power delivered to an oscillating system as a function of the driving frequency. According to these data A) the resonant frequency is greater than ω o. B) the system corresponding to curve 1 has the largest quality factor. C) the system corresponding to curve 4 has the largest quality factor. D) the resonant frequency is less than ω o. E) None of these is correct. 57. The graph shows the average power delivered to an oscillating system as a function of the driving frequency. According to these data A) the resonant frequency is greater than ωo. B) the system corresponding to curve 1 has the smallest quality factor. C) the system corresponding to curve 4 has the smallest quality factor. D) the resonant frequency is less than ω o. E) None of these is correct. 58. The graph shows the average power delivered to an oscillating system as a function of the driving frequency. According to these data, the damping is greatest for system(s) A) 1 B) 2 C) 3 D) 4 E) 1 and The graph shows the average power delivered to an oscillating system as a function of the driving frequency. According to these data, the damping is least for system(s) A) 1 B) 2 C) 3 D) 4 E) 3 and The differential equation for a damped oscillator is If the damping is not too large, the time constant for the motion of this oscillator is determined by the A) spring constant k and the mass m of the system. B) spring constant k and the damping coefficient b of the system. C) mass m and the damping coefficient b of the system. D) initial displacement of the system. E) initial velocity of the system. Page 12

13 61. The solution to the differential equation of a damped oscillator, for the case in which the damping is small, is x = A 0 e (b/2m)t cos(ω't + δ) The phase constant δ is determined by the A) spring constant k and the mass m of the system. B) spring cosntant k and the damping coefficient b of the system. C) initial velocity of the system. D) initial displacement of the system. E) c and d. Use the following to answer questions The graph shows the displacement of an oscillator as a function of time. The oscillator that is critically damped is A) 1 B) 2 C) 3 D) 4 E) 1, 2, 3, and The graph shows the displacement of an oscillator as a function of time. The oscillator that is undamped is A) 1 B) 2 C) 3 D) 4 E) 1, 2, 3, and The graph shows the displacement of an oscillator as a function of time. The oscillator that is overdamped is A) 1 B) 2 C) 3 D) 4 E) 1, 2, 3, and 4 Page 13

14 65. When you push a child in a swing, you most likely A) push with as large a force as possible. B) push with a periodic force as often as possible. C) push with a periodic force, with a period that depends on the weight of the child. D) push with a periodic force, with a period that depends on the length of the ropes on the swing. E) push with a force equal to the weight of the child. 66. The shattering of a crystal glass by an intense sound is an example of A) resonance. D) an exponential decrease. B) a Q factor. E) overdamping. C) critical damping. 67. When a body capable of oscillating is acted on by a periodic series of impulses having a frequency equal to one of the natural frequencies of oscillation of the body, the body is set in vibration with relatively large amplitude. This phenomenon is known as A) beats. D) resonance. B) harmonics. E) pressure amplitude. C) overtones. 68. Near resonance, if the damping is small (large Q), the oscillator A) absorbs less energy from the driving force than it does at other frequencies. B) absorbs more energy from the driving force than it does at other frequencies. C) absorbs the same amount of energy from the driving force than it does at other frequencies. D) moves with a small amplitude. E) is described by none of these. Page 14

15 69. The width of a resonance curve is an indication of A) the damping of the system. B) the Q-value of the system. C) the extent to which the system is oscillatory. D) the rate at which energy is being dissipated each cycle. E) all of the above. Page 15

16 Answers 1. C 2. B 3. D 4. D 5. E 6. D 7. D 8. D 9. E 10. C 11. B 12. D 13. E 14. C 15. B 16. E 17. E 18. D 19. B 20. D 21. B 22. D 23. B 24. A 25. E 26. C 27. B 28. C 29. E 30. E 31. D 32. C 33. A 34. B 35. D 36. E 37. E 38. D 39. C 40. C 41. B 42. A 43. A 44. B 45. D 46. A 47. A 48. C 49. B 50. D 51. B 52. D 53. C 54. A 55. D 56. B 57. C 58. D 59. A 60. C 61. E 62. A 63. D 64. B 65. D 66. A 67. D 68. B 69. E Page 16

### Practice Test SHM with Answers

Practice Test SHM with Answers MPC 1) If we double the frequency of a system undergoing simple harmonic motion, which of the following statements about that system are true? (There could be more than one

### 1 of 10 11/23/2009 6:37 PM

hapter 14 Homework Due: 9:00am on Thursday November 19 2009 Note: To understand how points are awarded read your instructor's Grading Policy. [Return to Standard Assignment View] Good Vibes: Introduction

### Center of Mass/Momentum

Center of Mass/Momentum 1. 2. An L-shaped piece, represented by the shaded area on the figure, is cut from a metal plate of uniform thickness. The point that corresponds to the center of mass of the L-shaped

### Simple Harmonic Motion Concepts

Simple Harmonic Motion Concepts INTRODUCTION Have you ever wondered why a grandfather clock keeps accurate time? The motion of the pendulum is a particular kind of repetitive or periodic motion called

### Advanced Higher Physics: MECHANICS. Simple Harmonic Motion

Advanced Higher Physics: MECHANICS Simple Harmonic Motion At the end of this section, you should be able to: Describe examples of simple harmonic motion (SHM). State that in SHM the unbalanced force is

### 226 Chapter 15: OSCILLATIONS

Chapter 15: OSCILLATIONS 1. In simple harmonic motion, the restoring force must be proportional to the: A. amplitude B. frequency C. velocity D. displacement E. displacement squared 2. An oscillatory motion

### Simple Harmonic Motion

Simple Harmonic Motion Restating Hooke s law The equation of motion Phase, frequency, amplitude Simple Pendulum Damped and Forced oscillations Resonance Harmonic Motion A lot of motion in the real world

### Hooke s Law. Spring. Simple Harmonic Motion. Energy. 12/9/09 Physics 201, UW-Madison 1

Hooke s Law Spring Simple Harmonic Motion Energy 12/9/09 Physics 201, UW-Madison 1 relaxed position F X = -kx > 0 F X = 0 x apple 0 x=0 x > 0 x=0 F X = - kx < 0 x 12/9/09 Physics 201, UW-Madison 2 We know

### Periodic Motion or Oscillations. Physics 232 Lecture 01 1

Periodic Motion or Oscillations Physics 3 Lecture 01 1 Periodic Motion Periodic Motion is motion that repeats about a point of stable equilibrium Stable Equilibrium Unstable Equilibrium A necessary requirement

### p = F net t (2) But, what is the net force acting on the object? Here s a little help in identifying the net force on an object:

Harmonic Oscillator Objective: Describe the position as a function of time of a harmonic oscillator. Apply the momentum principle to a harmonic oscillator. Sketch (and interpret) a graph of position as

### Simple Harmonic Motion

Simple Harmonic Motion Objective: In this exercise you will investigate the simple harmonic motion of mass suspended from a helical (coiled) spring. Apparatus: Spring 1 Table Post 1 Short Rod 1 Right-angled

### LABORATORY 9. Simple Harmonic Motion

LABORATORY 9 Simple Harmonic Motion Purpose In this experiment we will investigate two examples of simple harmonic motion: the mass-spring system and the simple pendulum. For the mass-spring system we

### Lecture Presentation Chapter 14 Oscillations

Lecture Presentation Chapter 14 Oscillations Suggested Videos for Chapter 14 Prelecture Videos Describing Simple Harmonic Motion Details of SHM Damping and Resonance Class Videos Oscillations Basic Oscillation

### 2. The graph shows how the displacement varies with time for an object undergoing simple harmonic motion.

Practice Test: 29 marks (37 minutes) Additional Problem: 31 marks (45 minutes) 1. A transverse wave travels from left to right. The diagram on the right shows how, at a particular instant of time, the

### Simple Harmonic Motion

Simple Harmonic Motion Simple harmonic motion is one of the most common motions found in nature and can be observed from the microscopic vibration of atoms in a solid to rocking of a supertanker on the

### turn-table in terms of SHM and UCM: be plotted as a sine wave. n Think about spinning a ball on a string or a ball on a

RECALL: Angular Displacement & Angular Velocity Think about spinning a ball on a string or a ball on a turn-table in terms of SHM and UCM: If you look at the ball from the side, its motion could be plotted

### AP Physics C Fall Final Web Review

Name: Class: _ Date: _ AP Physics C Fall Final Web Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. On a position versus time graph, the slope of

### both double. A. T and v max B. T remains the same and v max doubles. both remain the same. C. T and v max

Q13.1 An object on the end of a spring is oscillating in simple harmonic motion. If the amplitude of oscillation is doubled, how does this affect the oscillation period T and the object s maximum speed

### AP1 Oscillations. 1. Which of the following statements about a spring-block oscillator in simple harmonic motion about its equilibrium point is false?

1. Which of the following statements about a spring-block oscillator in simple harmonic motion about its equilibrium point is false? (A) The displacement is directly related to the acceleration. (B) The

### Physics 201 Fall 2009 Exam 2 October 27, 2009

Physics 201 Fall 2009 Exam 2 October 27, 2009 Section #: TA: 1. A mass m is traveling at an initial speed v 0 = 25.0 m/s. It is brought to rest in a distance of 62.5 m by a force of 15.0 N. The mass is

### PHYS-2020: General Physics II Course Lecture Notes Section VII

PHYS-2020: General Physics II Course Lecture Notes Section VII Dr. Donald G. Luttermoser East Tennessee State University Edition 4.0 Abstract These class notes are designed for use of the instructor and

### Physics 53. Oscillations. You've got to be very careful if you don't know where you're going, because you might not get there.

Physics 53 Oscillations You've got to be very careful if you don't know where you're going, because you might not get there. Yogi Berra Overview Many natural phenomena exhibit motion in which particles

### People s Physics book 3e Ch 25-1

The Big Idea: In most realistic situations forces and accelerations are not fixed quantities but vary with time or displacement. In these situations algebraic formulas cannot do better than approximate

### SIMPLE HARMONIC MOTION

SIMPLE HARMONIC MOTION PURPOSE The purpose of this experiment is to investigate one of the fundamental types of motion that exists in nature - simple harmonic motion. The importance of this kind of motion

### SIMPLE HARMONIC MOTION

PERIODIC MOTION SIMPLE HARMONIC MOTION If a particle moves such that it repeats its path regularly after equal intervals of time, its motion is said to be periodic. The interval of time required to complete

### MECHANICS IV - SIMPLE HARMONIC MOTION

M-IV-p.1 A. OSCILLATIONS B. SIMPLE PENDULUM C. KINEMATICS OF SIMPLE HARMONIC MOTION D. SPRING-AND-MASS SYSTEM E. ENERGY OF SHM F. DAMPED HARMONIC MOTION G. FORCED VIBRATION A. OSCILLATIONS A to-and-fro

### 1) The time for one cycle of a periodic process is called the A) wavelength. B) period. C) frequency. D) amplitude.

practice wave test.. Name Use the text to make use of any equations you might need (e.g., to determine the velocity of waves in a given material) MULTIPLE CHOICE. Choose the one alternative that best completes

### = mg [down] =!mg [up]; F! x

Section 4.6: Elastic Potential Energy and Simple Harmonic Motion Mini Investigation: Spring Force, page 193 Answers may vary. Sample answers: A. The relationship between F g and x is linear. B. The slope

### AP Physics C. Oscillations/SHM Review Packet

AP Physics C Oscillations/SHM Review Packet 1. A 0.5 kg mass on a spring has a displacement as a function of time given by the equation x(t) = 0.8Cos(πt). Find the following: a. The time for one complete

### C B A T 3 T 2 T 1. 1. What is the magnitude of the force T 1? A) 37.5 N B) 75.0 N C) 113 N D) 157 N E) 192 N

Three boxes are connected by massless strings and are resting on a frictionless table. Each box has a mass of 15 kg, and the tension T 1 in the right string is accelerating the boxes to the right at a

### Chapter 13, example problems: x (cm) 10.0

Chapter 13, example problems: (13.04) Reading Fig. 13-30 (reproduced on the right): (a) Frequency f = 1/ T = 1/ (16s) = 0.0625 Hz. (since the figure shows that T/2 is 8 s.) (b) The amplitude is 10 cm.

### Physics 1022: Chapter 14 Waves

Phys 10: Introduction, Pg 1 Physics 10: Chapter 14 Waves Anatomy of a wave Simple harmonic motion Energy and simple harmonic motion Phys 10: Introduction, Pg Page 1 1 Waves New Topic Phys 10: Introduction,

### AP Physics - Chapter 8 Practice Test

AP Physics - Chapter 8 Practice Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A single conservative force F x = (6.0x 12) N (x is in m) acts on

### Physics 271 FINAL EXAM-SOLUTIONS Friday Dec 23, 2005 Prof. Amitabh Lath

Physics 271 FINAL EXAM-SOLUTIONS Friday Dec 23, 2005 Prof. Amitabh Lath 1. The exam will last from 8:00 am to 11:00 am. Use a # 2 pencil to make entries on the answer sheet. Enter the following id information

### 9. The kinetic energy of the moving object is (1) 5 J (3) 15 J (2) 10 J (4) 50 J

1. If the kinetic energy of an object is 16 joules when its speed is 4.0 meters per second, then the mass of the objects is (1) 0.5 kg (3) 8.0 kg (2) 2.0 kg (4) 19.6 kg Base your answers to questions 9

### Chapter 14. Oscillations. PowerPoint Lectures for College Physics: A Strategic Approach, Second Edition Pearson Education, Inc.

Chapter 14 Oscillations PowerPoint Lectures for College Physics: A Strategic Approach, Second Edition 14 Oscillations Reading Quiz 1. The type of function that describes simple harmonic motion is A.

### 1) 0.33 m/s 2. 2) 2 m/s 2. 3) 6 m/s 2. 4) 18 m/s 2 1) 120 J 2) 40 J 3) 30 J 4) 12 J. 1) unchanged. 2) halved. 3) doubled.

Base your answers to questions 1 through 5 on the diagram below which represents a 3.0-kilogram mass being moved at a constant speed by a force of 6.0 Newtons. 4. If the surface were frictionless, the

### SIMPLE HARMONIC MOTION: SHIFTED ORIGIN AND PHASE

MISN-0-26 SIMPLE HARMONIC MOTION: SHIFTED ORIGIN AND PHASE SIMPLE HARMONIC MOTION: SHIFTED ORIGIN AND PHASE by Kirby Morgan 1. Dynamics of Harmonic Motion a. Force Varies in Magnitude and Direction................

### Spring Simple Harmonic Oscillator. Spring constant. Potential Energy stored in a Spring. Understanding oscillations. Understanding oscillations

Spring Simple Harmonic Oscillator Simple Harmonic Oscillations and Resonance We have an object attached to a spring. The object is on a horizontal frictionless surface. We move the object so the spring

### Sample Questions for the AP Physics 1 Exam

Sample Questions for the AP Physics 1 Exam Sample Questions for the AP Physics 1 Exam Multiple-choice Questions Note: To simplify calculations, you may use g 5 10 m/s 2 in all problems. Directions: Each

### Unit 8. Oscillations: Simple Harmonic Motion and Waves Big Idea 3: The interactions of an object with other objects can be described by forces.

Unit 8. Oscillations: Simple Harmonic Motion and Waves Name: Big Idea 3: The interactions of an object with other objects can be described by forces. Essential Knowledge 3.B.3: Restoring forces can Learning

### Unit 6 Practice Test: Sound

Unit 6 Practice Test: Sound Name: Multiple Guess Identify the letter of the choice that best completes the statement or answers the question. 1. A mass attached to a spring vibrates back and forth. At

### 8 SIMPLE HARMONIC MOTION

8 SIMPLE HARMONIC MOTION Chapter 8 Simple Harmonic Motion Objectives After studying this chapter you should be able to model oscillations; be able to derive laws to describe oscillations; be able to use

### PHYS 211 FINAL FALL 2004 Form A

1. Two boys with masses of 40 kg and 60 kg are holding onto either end of a 10 m long massless pole which is initially at rest and floating in still water. They pull themselves along the pole toward each

### Simple Harmonic Motion

Periodic motion Earth around the sun Elastic ball bouncing up an down Quartz in your watch, computer clock, ipod clock, etc. Heart beat, and many more In taking your pulse, you count 70.0 heartbeats in

### MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A transverse wave is propagated in a string stretched along the x-axis. The equation

### A ball, attached to a cord of length 1.20 m, is set in motion so that it is swinging backwards and forwards like a pendulum.

MECHANICS: SIMPLE HARMONIC MOTION QUESTIONS THE PENDULUM (2014;2) A pendulum is set up, as shown in the diagram. The length of the cord attached to the bob is 1.55 m. The bob has a mass of 1.80 kg. The

### Physics 41 HW Set 1 Chapter 15

Physics 4 HW Set Chapter 5 Serway 8 th OC:, 4, 7 CQ: 4, 8 P: 4, 5, 8, 8, 0, 9,, 4, 9, 4, 5, 5 Discussion Problems:, 57, 59, 67, 74 OC CQ P: 4, 5, 8, 8, 0, 9,, 4, 9, 4, 5, 5 Discussion Problems:, 57, 59,

### Solutions 2.4-Page 140

Solutions.4-Page 4 Problem 3 A mass of 3 kg is attached to the end of a spring that is stretched cm by a force of 5N. It is set in motion with initial position = and initial velocity v = m/s. Find the

### Mechanical Vibrations

Mechanical Vibrations A mass m is suspended at the end of a spring, its weight stretches the spring by a length L to reach a static state (the equilibrium position of the system). Let u(t) denote the displacement,

### Determination of Acceleration due to Gravity

Experiment 2 24 Kuwait University Physics 105 Physics Department Determination of Acceleration due to Gravity Introduction In this experiment the acceleration due to gravity (g) is determined using two

### HOOKE S LAW AND SIMPLE HARMONIC MOTION

HOOKE S LAW AND SIMPLE HARMONIC MOTION Alexander Sapozhnikov, Brooklyn College CUNY, New York, alexs@brooklyn.cuny.edu Objectives Study Hooke s Law and measure the spring constant. Study Simple Harmonic

### Curso2012-2013 Física Básica Experimental I Cuestiones Tema IV. Trabajo y energía.

1. A body of mass m slides a distance d along a horizontal surface. How much work is done by gravity? A) mgd B) zero C) mgd D) One cannot tell from the given information. E) None of these is correct. 2.

### Physics Exam 1 Review - Chapter 1,2

Physics 1401 - Exam 1 Review - Chapter 1,2 13. Which of the following is NOT one of the fundamental units in the SI system? A) newton B) meter C) kilogram D) second E) All of the above are fundamental

### S15--AP Phys Q3 SHO-Sound PRACTICE

Name: Class: Date: ID: A S5--AP Phys Q3 SHO-Sound PRACTICE Multiple Choice Identify the choice that best completes the statement or answers the question.. If you are on a train, how will the pitch of the

### Tennessee State University

Tennessee State University Dept. of Physics & Mathematics PHYS 2010 CF SU 2009 Name 30% Time is 2 hours. Cheating will give you an F-grade. Other instructions will be given in the Hall. MULTIPLE CHOICE.

### Recitation 2 Chapters 12 and 13

Recitation 2 Chapters 12 and 13 Problem 12.20. 65.0 kg bungee jumper steps off a bridge with a light bungee cord tied to her and the bridge (Figure P12.20. The unstretched length of the cord is 11.0 m.

### physics 111N forces & Newton s laws of motion

physics 111N forces & Newton s laws of motion forces (examples) a push is a force a pull is a force gravity exerts a force between all massive objects (without contact) (the force of attraction from the

### Work, Energy and Power Practice Test 1

Name: ate: 1. How much work is required to lift a 2-kilogram mass to a height of 10 meters?. 5 joules. 20 joules. 100 joules. 200 joules 5. ar and car of equal mass travel up a hill. ar moves up the hill

### Chapter 6: Energy and Oscillations. 1. Which of the following is not an energy unit? A. N m B. Joule C. calorie D. watt E.

Chapter 6: Energy and Oscillations 1. Which of the following is not an energy unit? A. N m B. Joule C. calorie D. watt E. kwh 2. Work is not being done on an object unless the A. net force on the object

### 8. As a cart travels around a horizontal circular track, the cart must undergo a change in (1) velocity (3) speed (2) inertia (4) weight

1. What is the average speed of an object that travels 6.00 meters north in 2.00 seconds and then travels 3.00 meters east in 1.00 second? 9.00 m/s 3.00 m/s 0.333 m/s 4.24 m/s 2. What is the distance traveled

### FXA 2008. UNIT G484 Module 2 4.2.3 Simple Harmonic Oscillations 11. frequency of the applied = natural frequency of the

11 FORCED OSCILLATIONS AND RESONANCE POINTER INSTRUMENTS Analogue ammeter and voltmeters, have CRITICAL DAMPING so as to allow the needle pointer to reach its correct position on the scale after a single

### Simple Harmonic Motion

Simple Harmonic Motion 9M Object: Apparatus: To determine the force constant of a spring and then study the harmonic motion of that spring when it is loaded with a mass m. Force sensor, motion sensor,

### Homework #7 Solutions

MAT 0 Spring 201 Problems Homework #7 Solutions Section.: 4, 18, 22, 24, 4, 40 Section.4: 4, abc, 16, 18, 22. Omit the graphing part on problems 16 and 18...4. Find the general solution to the differential

### Physics 1120: Simple Harmonic Motion Solutions

Questions: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Physics 1120: Simple Harmonic Motion Solutions 1. A 1.75 kg particle moves as function of time as follows: x = 4cos(1.33t+π/5) where distance is measured

### Test - A2 Physics. Primary focus Magnetic Fields - Secondary focus electric fields (including circular motion and SHM elements)

Test - A2 Physics Primary focus Magnetic Fields - Secondary focus electric fields (including circular motion and SHM elements) Time allocation 40 minutes These questions were ALL taken from the June 2010

### Type: Double Date: Simple Harmonic Motion III. Homework: Read 10.3, Do CONCEPT QUEST #(7) Do PROBLEMS #(5, 19, 28) Ch. 10

Type: Double Date: Objective: Simple Harmonic Motion II Simple Harmonic Motion III Homework: Read 10.3, Do CONCEPT QUEST #(7) Do PROBLEMS #(5, 19, 28) Ch. 10 AP Physics B Mr. Mirro Simple Harmonic Motion

### Physics Honors Page 1

1. An ideal standard of measurement should be. variable, but not accessible variable and accessible accessible, but not variable neither variable nor accessible 2. The approximate height of a 12-ounce

### PSI AP Physics I Rotational Motion

PSI AP Physics I Rotational Motion Multiple-Choice questions 1. Which of the following is the unit for angular displacement? A. meters B. seconds C. radians D. radians per second 2. An object moves from

### 7. Kinetic Energy and Work

Kinetic Energy: 7. Kinetic Energy and Work The kinetic energy of a moving object: k = 1 2 mv 2 Kinetic energy is proportional to the square of the velocity. If the velocity of an object doubles, the kinetic

### Name: Lab Partner: Section:

Chapter 10 Simple Harmonic Motion Name: Lab Partner: Section: 10.1 Purpose Simple harmonic motion will be examined in this experiment. 10.2 Introduction A periodic motion is one that repeats itself in

### General Physics I Can Statements

General Physics I Can Statements Motion (Kinematics) 1. I can describe motion in terms of position (x), displacement (Δx), distance (d), speed (s), velocity (v), acceleration (a), and time (t). A. I can

### Hooke s Law and Simple Harmonic Motion

Hooke s Law and Simple Harmonic Motion OBJECTIVE to measure the spring constant of the springs using Hooke s Law to explore the static properties of springy objects and springs, connected in series and

### Experiment Type: Open-Ended

Simple Harmonic Oscillation Overview Experiment Type: Open-Ended In this experiment, students will look at three kinds of oscillators and determine whether or not they can be approximated as simple harmonic

### Simple Harmonic Motion(SHM) Period and Frequency. Period and Frequency. Cosines and Sines

Simple Harmonic Motion(SHM) Vibration (oscillation) Equilibrium position position of the natural length of a spring Amplitude maximum displacement Period and Frequency Period (T) Time for one complete

### F N A) 330 N 0.31 B) 310 N 0.33 C) 250 N 0.27 D) 290 N 0.30 E) 370 N 0.26

Physics 23 Exam 2 Spring 2010 Dr. Alward Page 1 1. A 250-N force is directed horizontally as shown to push a 29-kg box up an inclined plane at a constant speed. Determine the magnitude of the normal force,

### A) F = k x B) F = k C) F = x k D) F = x + k E) None of these.

CT16-1 Which of the following is necessary to make an object oscillate? i. a stable equilibrium ii. little or no friction iii. a disturbance A: i only B: ii only C: iii only D: i and iii E: All three Answer:

### Mh1: Simple Harmonic Motion. Chapter 15. Motion of a Spring-Mass System. Periodic Motion. Oscillatory Motion

Mh1: Siple Haronic Motion Chapter 15 Siple block and spring Oscillatory Motion Exaple: the tides, a swing Professor Michael Burton School of Physics, UNSW Periodic Motion! Periodic otion is otion of an

### 56 Chapter 5: FORCE AND MOTION I

Chapter 5: FORCE AND MOTION I 1 An example of an inertial reference frame is: A any reference frame that is not accelerating B a frame attached to a particle on which there are no forces C any reference

### PHY121 #8 Midterm I 3.06.2013

PHY11 #8 Midterm I 3.06.013 AP Physics- Newton s Laws AP Exam Multiple Choice Questions #1 #4 1. When the frictionless system shown above is accelerated by an applied force of magnitude F, the tension

### F mg (10.1 kg)(9.80 m/s ) m

Week 9 homework IMPORTANT NOTE ABOUT WEBASSIGN: In the WebAssign versions of these problems, various details have been changed, so that the answers will come out differently. The method to find the solution

### Physics 101 Exam 1 NAME 2/7

Physics 101 Exam 1 NAME 2/7 1 In the situation below, a person pulls a string attached to block A, which is in turn attached to another, heavier block B via a second string (a) Which block has the larger

### charge is detonated, causing the smaller glider with mass M, to move off to the right at 5 m/s. What is the

This test covers momentum, impulse, conservation of momentum, elastic collisions, inelastic collisions, perfectly inelastic collisions, 2-D collisions, and center-of-mass, with some problems requiring

### PHYSICS MIDTERM REVIEW

1. The acceleration due to gravity on the surface of planet X is 19.6 m/s 2. If an object on the surface of this planet weighs 980. newtons, the mass of the object is 50.0 kg 490. N 100. kg 908 N 2. If

### b) Find the speed (in km/h) of the airplane relative to the ground.

I. An airplane is heading due east and is moving at a speed of 370 km/h relative to the air. The wind is blowing 45.0 degrees north of west at a speed of 93.0 km/h. a) Represent the airplane s and wind

### 2.3 Cantilever linear oscillations

.3 Cantilever linear oscillations Study of a cantilever oscillation is a rather science - intensive problem. In many cases the general solution to the cantilever equation of motion can not be obtained

### Calculate the centripetal acceleration of the boot just before impact

(ii) alculate the centripetal acceleration of the boot just before impact....... (iii) iscuss briefly the radial force on the knee joint before impact and during the impact................. (4) (Total

### 16 OSCILLATORY MOTION AND WAVES

CHAPTER 16 OSCILLATORY MOTION AND WAVES 549 16 OSCILLATORY MOTION AND WAVES Figure 16.1 There are at least four types of waves in this picture only the water waves are evident. There are also sound waves,

### Name: Date: PRACTICE QUESTIONS PHYSICS 201 FALL 2009 EXAM 2

Name: Date: PRACTICE QUESTIONS PHYSICS 201 FALL 2009 EXAM 2 1. A force accelerates a body of mass M. The same force applied to a second body produces three times the acceleration. What is the mass of the

### Candidate Number. General Certificate of Education Advanced Level Examination June 2012

entre Number andidate Number Surname Other Names andidate Signature General ertificate of Education dvanced Level Examination June 212 Physics PHY4/1 Unit 4 Fields and Further Mechanics Section Monday

### Chapter 6 Work and Energy

Chapter 6 WORK AND ENERGY PREVIEW Work is the scalar product of the force acting on an object and the displacement through which it acts. When work is done on or by a system, the energy of that system

### Exercises on Oscillations and Waves

Exercises on Oscillations and Waves Exercise 1.1 You find a spring in the laboratory. When you hang 100 grams at the end of the spring it stretches 10 cm. You pull the 100 gram mass 6 cm from its equilibrium

### MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A container explodes and breaks into three fragments that fly off 120 apart from each

### Wave Motion. Solutions of Home Work Problems

Chapter 16 Wave Motion. s of Home Work Problems 16.1 Problem 16.17 (In the text book) A transverse wave on a string is described by the wave function [( πx ) ] y = (0.10 m) sin + 4πt 8 (a) Determine the

### Team: Force and Motion 2

Team: Force and Motion 2 In the first Force and Motion lab, you studied constant forces and friction-free motion. In this sequel, you will study forces that depend on time and position. You will also explore

### B) 40.8 m C) 19.6 m D) None of the other choices is correct. Answer: B

Practice Test 1 1) Abby throws a ball straight up and times it. She sees that the ball goes by the top of a flagpole after 0.60 s and reaches the level of the top of the pole after a total elapsed time

### Notice numbers may change randomly in your assignments and you may have to recalculate solutions for your specific case.

HW1 Possible Solutions Notice numbers may change randomly in your assignments and you may have to recalculate solutions for your specific case. Tipler 14.P.003 An object attached to a spring has simple

### Physics 1000 Final Examination. December A) 87 m B) 46 m C) 94 m D) 50 m

Answer all questions. The multiple choice questions are worth 4 marks and problems 10 marks each. 1. You walk 55 m to the north, then turn 60 to your right and walk another 45 m. How far are you from where