So if ω 0 increases 3fold, the stopping angle increases 3 2 = 9fold.


 Emmeline Shelton
 2 years ago
 Views:
Transcription
1 Name: MULTIPLE CHOICE: Questions 111 are 5 points each. 1. A safety device brings the blade of a power mower from an angular speed of ω 1 to rest in 1.00 revolution. At the same constant angular acceleration, how many revolutions would it take the blade to come to rest from an initial angular speed ω 3 that is three times as great, ω 3 = 3ω 1? a. 1/9 revolution b. 1/3 revolution c. 1 3 revolution d. 3 revolutions e revolutions f revolutions ω ω = αδθ 0 ω0 Δθ = α So if ω 0 increases 3fold, the stopping angle increases 3 = 9fold.. What is the moment of inertia of a square plate of mass M and length L along a side when it is rotated about an axis that is perpendicular to the plane of the plate and through a corner of the square? a. 1/1 ML b. 1/3 ML c. 1/ ML d. /3 ML e. 3/4 ML f. 5/6 ML g. ML h. 5/4 ML i. 3/ ML j. ML Parallelaxis theorem: I = I CM + Md, where d = distance from axis to center of mass. Here d = L/ so Md = ½ ML and I CM = 1/1 M(L ) = 1/6 ML, so I = (1/ + 1/6) ML = /3 ML. L PHYS 110 Exam 3 1 of 7
2 3. A uniform solid sphere rolls without slipping along a level surface. What fraction of its total kinetic energy is rotational, and what fraction is translational? a. 1/3 rotational and /3 translational. b. /3 rotational and 1/3 translational. c. 1/5 rotational and 4/5 translational. d. 4/5 rotational and 1/5 translational. e. /5 rotational and 3/5 translational. f. 3/5 rotational and /5 translational. g. /7 rotational and 5/7 translational. h. 5/7 rotational and /7 translational. i. 1/ rotational and 1/ translational. Total kinetic energy is translational plus rotational, K = 1/ mv + 1/ Iω. Because it is rolling without slipping, v = ωr and ω = v/r. Because it is a uniform solid sphere, I = /5 mr. So we have K = ½ mv + ½ (/5 mr )ω = ½ mv + 1/5 mv = 7/10 mv. 1/ = 5/10 and 1/5 = /10, so the rotational kinetic energy is /7 of the total and the translational kinetic energy is 5/7 of the total. 4. A fish bites at a baited hook and swims downward, pulling the fishing line and float down with it. As the fish pulls the float deeper below the surface, how does the inward pressure on the float change? In an incompressible fluid, pressure p = p 0 + ρgh, a. The pressure increases. where p 0 is pressure at the top, ρ is the fluid b. The pressure does not change. density, g is gravitational field strength, and h is depth. The deeper h the float gets, the greater the c. The pressure decreases. pressure on it. 5. In the scenario of the previous question, how does the upward force of buoyancy acting on the submerged float change as the fish pulls the float deeper under water? a. The buoyancy force increases. b. The buoyancy force does not change. c. The buoyancy force decreases. The buoyancy force is ρgv, where ρ is the fluid density, g is the gravitational field strength, and V is submerged volume. In an incompressible fluid, none of these quantities depends on depth. 6. Water flows through a pipe with a narrowing radius, as shown in the diagram. Where is the volume flow rate of the water the fastest? a. At point A. b. At point B. c. It is the same at A and B. By continuity of flow, the volume flow rate is the same at all points in unbranched flow. A B PHYS 110 Exam 3 of 7
3 7. In the scenario of the previous question, where is the speed of the water the fastest? a. At point A. b. At point B. c. It is the same at A and B. The volume flow rate is the same at all points, and it is equal to va, where v is the fluid speed and A the crosssectional area. Where A is smaller (point B), v must be faster. 8. In the scenario of the previous question, where is the pressure of the water the greatest? a. At point A. b. At point B. c. It is the same at A and B. By the Bernoulli equation, p A + ρgy A + ½ ρv A = p B + ρgy B + ½ ρv B. The heights y A and y B are the same and v B > v A, so p B < p A. 9. The Kuiper Belt Object known as Pluto is about 1/5 the mass of Earth s Moon and averages about 40 times farther from the Sun than Earth s Moon. Compared to the average gravitational pull Earth s Moon exerts on the sun, how strong is the gravitational pull that Pluto exerts on the sun? Gravitational force is a. 5/40 the gravitational pull of Earth s Moon. Gm 1 m /r. Both forces have b. 1/(5 40) the gravitational pull of Earth s Moon. the same G and m 1 (the mass c. 5/40 the gravitational pull of Earth s Moon. of the sun). The smaller mass d. 1/(5 40 dimishes the force by a factor ) the gravitational pull of Earth s Moon. of 5, and the greater distance e. 1/(5 40 ) the gravitational pull of Earth s Moon. dimishes the force by a factor f. 40/5 the gravitational pull of Earth s Moon. of 40. g. 1/(5 40) the gravitational pull of Earth s Moon. h. 5 /40 the gravitational pull of Earth s Moon. i. 5 /40 the gravitational pull of Earth s Moon. k. 40 /5 the gravitational pull of Earth s Moon. PHYS 110 Exam 3 3 of 7
4 10. A giant windmill with 3 blades of length L is turning in the wind. Point A is at the tip of the blade while point B is halfway out from the axis of rotation. Which of the following is true? A B a. The angular speed of A is twice that of B, but they have the same linear speed. b. The angular speed of B is twice that of A, but they have the same linear speed. c. The linear speed of A is twice that of B, but they have the same angular speed. d. The linear speed of B is twice that of A, but they have the same angular speed. e. They both have the same angular and linear speeds. 11. A disk is rotating counter clockwise, and its angular speed is increasing. Which figure below best shows the direction of the net force at the right edge of the disk? PHYS 110 Exam 3 4 of 7
5 FREE RESPONSE: Questions 114 are 15 points each. Show all your work. 1. Dr. Ryan Stone and Lt. Matt Kowalsi, stranded in orbit, are connected by a cable 5.00 m long. They rotate about their mutual center of mass at a rate of.00 rad/s. The cable slips and they drift apart until Lt. Kowalski catches the cable again when they are 7.00 m apart. What is their new rate of rotation about their center of mass? Dr. Stone s mass is 50.0 kg and Lt. Kowalski s mass is 80.0 kg. You may treat each astronaut as a point particle. The mass of the cable can be neglected. This is a conservation of angular momentum problem. L 1 = L I 1 ω 1 = I ω ω = ω 1 I 1 /I Now our task is to find the ratio of moments of inertia I 1 /I. We treat each astronaut as a point particle, each of which has a moment of inertia I = mr. Their masses do not change, but their distances from the center of mass increase by a factor of 7/5. Thus their moments of inertia increase by a factor of (7/5) : I = (7/5) I 1. ω = ω 1 (5/7) = (.00 rad/s)(5/49) = 1.0 rad/s. PHYS 110 Exam 3 5 of 7
6 13. The Moon averages m from Earth and orbits Earth with a period of 7.3 days ( s). The Moon s mass is kg and the Earth s mass is kg. a. What is the Moon s orbital kinetic energy? (Its kinetic energy of traveling around the Earth, ignoring energy of rotation about its axis.) The circumference of the orbit is πr and it travels this distance in time T, so its orbital speed is v = πr/t. Its kinetic energy then is 1/ mv = m(πr/t). m(πr/t) = ( kg)[π( m)/( s)] = J. b. How much additional translational kinetic energy would the Moon need to gain to escape from Earth orbit? The Moon s gravitational potential energy is GMm/r, where G is the gravitational constant, M is Earth s mass, and m is the Moon s mass. The total kinetic energy needed to escape Earth would be +GMm/r; the additional energy needed would be this amount minus the translational kinetic energy the Moon already has. U = GMm/r = ( Nm /kg )( kg)( kg)/( m) = J Difference = J J = J. This is the origin of the expression orbit is halfway to the stars. PHYS 110 Exam 3 6 of 7
7 14. A rain barrel springs a leak at the very bottom. The hole is perfectly circular and 3.00 mm in diameter. The stream of water coming out has an initial speed of 3.50 m/s. Meanwhile, the water level in the barrel is not significantly changed. Recall that water has a density of 1000 kg/m 3. a. What is the water level in the rain barrel? p 1 + ρgy 1 + ½ ρv 1 = p + ρgy + ½ ρv We ll take position 1 as the water line and position as the hole at the bottom. Since both are exposed to the atmosphere, p 1 = p. The height of the water line, which we want to find, we will call h, and h = y 1 y. If the water level does not significantly change, v 1 = 0. Then Oh, that s Torricelli s theorem. p 1 p + ρg(y 1 y ) + 0 = ½ ρv ρgh = ½ ρv v = gh v = gh h = v /(g) h = (3.50 m/s) /(19.6 m/s ) = (1.5/19.6) m = 0.65 m. b. How fast is the barrel losing water in liters/second? (1000 liters = 1 m 3 ) Mass flow rate dv/dt = va = v (πr) = (3.50 m/s)(π)( m) = m 3 /s = ( m 3 /s)(1000 L/m 3 ) = L/s. PHYS 110 Exam 3 7 of 7
A1. An object of mass m is projected vertically from the surface of a planet of radius R p and mass M p with an initial speed v i.
OBAFMI AWOLOWO UNIVRSITY, ILIF, IF, NIGRIA. FACULTY OF SCINC DPARTMNT OF PHYSICS B.Sc. (Physics) Degree xamination PHY GNRAL PHYSICS I TUTORIAL QUSTIONS IN GRAVITATION, FLUIDS AND OSCILLATIONS SCTION
More informationPhysics 1A Lecture 10C
Physics 1A Lecture 10C "If you neglect to recharge a battery, it dies. And if you run full speed ahead without stopping for water, you lose momentum to finish the race. Oprah Winfrey Static Equilibrium
More informationLecture 17. Last time we saw that the rotational analog of Newton s 2nd Law is
Lecture 17 Rotational Dynamics Rotational Kinetic Energy Stress and Strain and Springs Cutnell+Johnson: 9.49.6, 10.110.2 Rotational Dynamics (some more) Last time we saw that the rotational analog of
More informationCenter of Gravity. We touched on this briefly in chapter 7! x 2
Center of Gravity We touched on this briefly in chapter 7! x 1 x 2 cm m 1 m 2 This was for what is known as discrete objects. Discrete refers to the fact that the two objects separated and individual.
More informationChapter 10 Rotational Motion. Copyright 2009 Pearson Education, Inc.
Chapter 10 Rotational Motion Angular Quantities Units of Chapter 10 Vector Nature of Angular Quantities Constant Angular Acceleration Torque Rotational Dynamics; Torque and Rotational Inertia Solving Problems
More information2 rad c. π rad d. 1 rad e. 2π rad
Name: Class: Date: Exam 4PHYS 101F14 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A wheel, initially at rest, rotates with a constant acceleration
More information9 ROTATIONAL DYNAMICS
CHAPTER 9 ROTATIONAL DYNAMICS CONCEPTUAL QUESTIONS 1. REASONING AND SOLUTION The magnitude of the torque produced by a force F is given by τ = Fl, where l is the lever arm. When a long pipe is slipped
More informationChapter 11. h = 5m. = mgh + 1 2 mv 2 + 1 2 Iω 2. E f. = E i. v = 4 3 g(h h) = 4 3 9.8m / s2 (8m 5m) = 6.26m / s. ω = v r = 6.
Chapter 11 11.7 A solid cylinder of radius 10cm and mass 1kg starts from rest and rolls without slipping a distance of 6m down a house roof that is inclined at 30 degrees (a) What is the angular speed
More informationPSI AP Physics I Rotational Motion
PSI AP Physics I Rotational Motion MultipleChoice 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
More informationPHYSICS 111 HOMEWORK SOLUTION #10. April 10, 2013
PHYSICS 111 HOMEWORK SOLUTION #10 April 10, 013 0.1 Given M = 4 i + j 3 k and N = i j 5 k, calculate the vector product M N. By simply following the rules of the cross product: i i = j j = k k = 0 i j
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Exam Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 1) A lawn roller in the form of a uniform solid cylinder is being pulled horizontally by a horizontal
More informationCh.8 Rotational Equilibrium and Rotational Dynamics.
Ch.8 Rotational Equilibrium and Rotational Dynamics. Conceptual question # 1, 2, 9 Problems# 1, 3, 7, 9, 11, 13, 17, 19, 25, 28, 33, 39, 43, 47, 51, 55, 61, 79 83 Torque Force causes acceleration. Torque
More informationRotational Dynamics. Luis Anchordoqui
Rotational Dynamics Angular Quantities In purely rotational motion, all points on the object move in circles around the axis of rotation ( O ). The radius of the circle is r. All points on a straight line
More informationPhysics 113 Exam #4 Angular momentum, static equilibrium, universal gravitation, fluid mechanics, oscillatory motion (first part)
Physics 113 Exam #4 Angular momentum, static equilibrium, universal gravitation, fluid mechanics, oscillatory motion (first part) Answer all questions on this examination. You must show all equations,
More informationNotes: Most of the material in this chapter is taken from Young and Freedman, Chap. 13.
Chapter 5. Gravitation Notes: Most of the material in this chapter is taken from Young and Freedman, Chap. 13. 5.1 Newton s Law of Gravitation We have already studied the effects of gravity through the
More informationChapter 8 Rotational Motion
Chapter 8 Rotational Motion Textbook (Giancoli, 6 th edition): Assignment 9 Due on Thursday, November 26. 1. On page 131 of Giancoli, problem 18. 2. On page 220 of Giancoli, problem 24. 3. On page 221
More informationChapter 13  Gravity. David J. Starling Penn State Hazleton Fall Chapter 13  Gravity. Objectives (Ch 13) Newton s Law of Gravitation
The moon is essentially gray, no color. It looks like plaster of Paris, like dirty beach sand with lots of footprints in it. James A. Lovell (from the Apollo 13 mission) David J. Starling Penn State Hazleton
More informationPhysics 201 Homework 8
Physics 201 Homework 8 Feb 27, 2013 1. A ceiling fan is turned on and a net torque of 1.8 Nm is applied to the blades. 8.2 rad/s 2 The blades have a total moment of inertia of 0.22 kgm 2. What is the
More information11. Rotation Translational Motion: Rotational Motion:
11. Rotation Translational Motion: Motion of the center of mass of an object from one position to another. All the motion discussed so far belongs to this category, except uniform circular motion. Rotational
More informationAngular velocity. Angular velocity measures how quickly the object is rotating. Average angular velocity. Instantaneous angular velocity
Angular velocity Angular velocity measures how quickly the object is rotating. Average angular velocity Instantaneous angular velocity Two coins rotate on a turntable. Coin B is twice as far from the axis
More informationRotation, Rolling, Torque, Angular Momentum
Halliday, Resnick & Walker Chapter 10 & 11 Rotation, Rolling, Torque, Angular Momentum Physics 1A PHYS1121 Professor Michael Burton Rotation 101 Rotational Variables! The motion of rotation! The same
More informationLinear Centripetal Tangential speed acceleration acceleration A) Rω Rω 2 Rα B) Rω Rα Rω 2 C) Rω 2 Rα Rω D) Rω Rω 2 Rω E) Rω 2 Rα Rω 2 Ans: A
1. Two points, A and B, are on a disk that rotates about an axis. Point A is closer to the axis than point B. Which of the following is not true? A) Point B has the greater speed. B) Point A has the lesser
More informationIf something is spinning, it moves more quickly if it. d is farther from the center of rotation. For instance, θ
The Big Idea The third conservation law is conservation of angular momentum. This can be roughly understood as spin, more accurately it is rotational velocity multiplied by rotational inertia. In any closed
More informationAngular acceleration α
Angular Acceleration Angular acceleration α measures how rapidly the angular velocity is changing: Slide 70 Linear and Circular Motion Compared Slide 7 Linear and Circular Kinematics Compared Slide 7
More informationPhysics 2A, Sec B00: Mechanics  Winter 2011 Instructor: B. Grinstein Final Exam
Physics 2A, Sec B00: Mechanics  Winter 2011 Instructor: B. Grinstein Final Exam INSTRUCTIONS: Use a pencil #2 to fill your scantron. Write your code number and bubble it in under "EXAM NUMBER;" an entry
More informationAP2 Fluids. Kinetic Energy (A) stays the same stays the same (B) increases increases (C) stays the same increases (D) increases stays the same
A cart full of water travels horizontally on a frictionless track with initial velocity v. As shown in the diagram, in the back wall of the cart there is a small opening near the bottom of the wall that
More informationPhys101 Third Major Exam Term 142
Phys0 Third Major Exam Term 4 Q. The angular position of a point on the rim of a rotating wheel of radius R is given by: θ (t) = 6.0 t + 3.0 t.0 t 3, where θ is in radians and t is in seconds. What is
More informationProblem Set V Solutions
Problem Set V Solutions. Consider masses m, m 2, m 3 at x, x 2, x 3. Find X, the C coordinate by finding X 2, the C of mass of and 2, and combining it with m 3. Show this is gives the same result as 3
More informationF 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
More informationMidterm Solutions. mvr = ω f (I wheel + I bullet ) = ω f 2 MR2 + mr 2 ) ω f = v R. 1 + M 2m
Midterm Solutions I) A bullet of mass m moving at horizontal velocity v strikes and sticks to the rim of a wheel a solid disc) of mass M, radius R, anchored at its center but free to rotate i) Which of
More informationLesson 5 Rotational and Projectile Motion
Lesson 5 Rotational and Projectile Motion Introduction: Connecting Your Learning The previous lesson discussed momentum and energy. This lesson explores rotational and circular motion as well as the particular
More informationUnit 4 Practice Test: Rotational Motion
Unit 4 Practice Test: Rotational Motion Multiple Guess Identify the letter of the choice that best completes the statement or answers the question. 1. How would an angle in radians be converted to an angle
More informationPHYS 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
More informationPHYS 1014M, Fall 2005 Exam #3. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
PHYS 1014M, Fall 2005 Exam #3 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A bicycle wheel rotates uniformly through 2.0 revolutions in
More informationROLLING, TORQUE, AND ANGULAR MOMENTUM
Chapter 11: ROLLING, TORQUE, AND ANGULAR MOMENTUM 1 A wheel rolls without sliding along a horizontal road as shown The velocity of the center of the wheel is represented by! Point P is painted on the rim
More informationPHYSICS 111 HOMEWORK SOLUTION #10. April 8, 2013
PHYSICS HOMEWORK SOLUTION #0 April 8, 203 0. Find the net torque on the wheel in the figure below about the axle through O, taking a = 6.0 cm and b = 30.0 cm. A torque that s produced by a force can be
More informationPHY121 #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
More informationSolution Derivations for Capa #10
Solution Derivations for Capa #10 1) The flywheel of a steam engine runs with a constant angular speed of 172 rev/min. When steam is shut off, the friction of the bearings and the air brings the wheel
More informationPhysics 1114: Unit 6 Homework: Answers
Physics 1114: Unit 6 Homework: Answers Problem set 1 1. A rod 4.2 m long and 0.50 cm 2 in crosssectional area is stretched 0.20 cm under a tension of 12,000 N. a) The stress is the Force (1.2 10 4 N)
More informationExemplar Problems Physics
Chapter Eight GRAVITATION MCQ I 8.1 The earth is an approximate sphere. If the interior contained matter which is not of the same density everywhere, then on the surface of the earth, the acceleration
More informationIMPORTANT NOTE ABOUT WEBASSIGN:
Week 8 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
More informationSolution Derivations for Capa #11
Solution Derivations for Capa #11 1) A horizontal circular platform (M = 128.1 kg, r = 3.11 m) rotates about a frictionless vertical axle. A student (m = 68.3 kg) walks slowly from the rim of the platform
More informationCHAPTER 15 FORCE, MASS AND ACCELERATION
CHAPTER 5 FORCE, MASS AND ACCELERATION EXERCISE 83, Page 9. A car initially at rest accelerates uniformly to a speed of 55 km/h in 4 s. Determine the accelerating force required if the mass of the car
More informationphysics 111N rotational motion
physics 111N rotational motion rotations of a rigid body! suppose we have a body which rotates about some axis! we can define its orientation at any moment by an angle, θ (any point P will do) θ P physics
More informationPhysics 1653 Exam 3  Review Questions
Physics 1653 Exam 3  Review Questions 3.0 Two uncharged conducting spheres, A and B, are suspended from insulating threads so that they touch each other. While a negatively charged rod is held near, but
More informationVersion PREVIEW Practice 8 carroll (11108) 1
Version PREVIEW Practice 8 carroll 11108 1 This printout should have 12 questions. Multiplechoice questions may continue on the net column or page find all choices before answering. Inertia of Solids
More informationPhysics 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,
More informationMercury is poured into a Utube as in Figure (14.18a). The left arm of the tube has crosssectional
Chapter 14 Fluid Mechanics. Solutions of Selected Problems 14.1 Problem 14.18 (In the text book) Mercury is poured into a Utube as in Figure (14.18a). The left arm of the tube has crosssectional area
More information3600 s 1 h. 24 h 1 day. 1 day
Week 7 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
More informationA satellite of mass 5.00x10² kg is in a circular orbit of radius 2r around Earth. Then it is moved to a circular orbit radius of 3r.
Supplemental Questions A satellite of mass 5.00x10² kg is in a circular orbit of radius 2r around Earth. Then it is moved to a circular orbit radius of 3r. (a) Determine the satellite s GPE in orbit. (b)
More informationName Class Date. true
Exercises 131 The Falling Apple (page 233) 1 Describe the legend of Newton s discovery that gravity extends throughout the universe According to legend, Newton saw an apple fall from a tree and realized
More informationMagnetism. d. gives the direction of the force on a charge moving in a magnetic field. b. results in negative charges moving. clockwise.
Magnetism 1. An electron which moves with a speed of 3.0 10 4 m/s parallel to a uniform magnetic field of 0.40 T experiences a force of what magnitude? (e = 1.6 10 19 C) a. 4.8 10 14 N c. 2.2 10 24 N b.
More informationRotation, Angular Momentum
This test covers rotational motion, rotational kinematics, rotational energy, moments of inertia, torque, crossproducts, angular momentum and conservation of angular momentum, with some problems requiring
More informationChapter 13. Gravitation
Chapter 13 Gravitation 13.2 Newton s Law of Gravitation In vector notation: Here m 1 and m 2 are the masses of the particles, r is the distance between them, and G is the gravitational constant. G = 6.67
More informationPhysics 53. Rotational Motion 1. We're going to turn this team around 360 degrees. Jason Kidd
Physics 53 Rotational Motion 1 We're going to turn this team around 360 degrees. Jason Kidd Rigid bodies To a good approximation, a solid object behaves like a perfectly rigid body, in which each particle
More informationLecture 16. Newton s Second Law for Rotation. Moment of Inertia. Angular momentum. Cutnell+Johnson: 9.4, 9.6
Lecture 16 Newton s Second Law for Rotation Moment of Inertia Angular momentum Cutnell+Johnson: 9.4, 9.6 Newton s Second Law for Rotation Newton s second law says how a net force causes an acceleration.
More informationLecture L222D Rigid Body Dynamics: Work and Energy
J. Peraire, S. Widnall 6.07 Dynamics Fall 008 Version.0 Lecture L  D Rigid Body Dynamics: Work and Energy In this lecture, we will revisit the principle of work and energy introduced in lecture L3 for
More information141. Fluids in Motion There are two types of fluid motion called laminar flow and turbulent flow.
Fluid Dynamics Sections Covered in the Text: Chapter 15, except 15.6 To complete our study of fluids we now examine fluids in motion. For the most part the study of fluids in motion was put into an organized
More informationRotation. Moment of inertia of a rotating body: w I = r 2 dm
Rotation Moment of inertia of a rotating body: w I = r 2 dm Usually reasonably easy to calculate when Body has symmetries Rotation axis goes through Center of mass Exams: All moment of inertia will be
More informationPhysics 9 Fall 2009 Homework 2  Solutions
Physics 9 Fall 009 Homework  s 1. Chapter 7  Exercise 5. An electric dipole is formed from ±1.0 nc charges spread.0 mm apart. The dipole is at the origin, oriented along the y axis. What is the electric
More informationUnit 04: Fundamentals of Solid Geometry  Shapes and Volumes
Unit 04: Fundamentals of Solid Geometry  Shapes and Volumes Introduction. Skills you will learn: a. Classify simple 3dimensional geometrical figures. b. Calculate surface areas of simple 3dimensional
More informationAP1 Oscillations. 1. Which of the following statements about a springblock oscillator in simple harmonic motion about its equilibrium point is false?
1. Which of the following statements about a springblock oscillator in simple harmonic motion about its equilibrium point is false? (A) The displacement is directly related to the acceleration. (B) The
More informationNo Brain Too Small PHYSICS. 2 kg
MECHANICS: ANGULAR MECHANICS QUESTIONS ROTATIONAL MOTION (2014;1) Universal gravitational constant = 6.67 10 11 N m 2 kg 2 (a) The radius of the Sun is 6.96 10 8 m. The equator of the Sun rotates at a
More informationLinear and Rotational Kinematics
Linear and Rotational Kinematics Starting from rest, a disk takes 10 revolutions to reach an angular velocity. If the angular acceleration is constant throughout, how many additional revolutions are required
More informationPHY231 Section 2, Form A March 22, 2012. 1. Which one of the following statements concerning kinetic energy is true?
1. Which one of the following statements concerning kinetic energy is true? A) Kinetic energy can be measured in watts. B) Kinetic energy is always equal to the potential energy. C) Kinetic energy is always
More informationPhysics 271 FINAL EXAMSOLUTIONS Friday Dec 23, 2005 Prof. Amitabh Lath
Physics 271 FINAL EXAMSOLUTIONS 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
More informationPhys214 exam#2 (30 problems in total. 5 points each, total 150 points. )
Phys214 exam#2 (30 problems in total. 5 points each, total 150 points. ) 1. An oil tanker heading due west, straight into a strong wind, reaches a speed of 5 m/s and then shuts down its engines to drift.
More informationPhysics 126 Practice Exam #3 Professor Siegel
Physics 126 Practice Exam #3 Professor Siegel Name: Lab Day: 1. Which one of the following statements concerning the magnetic force on a charged particle in a magnetic field is true? A) The magnetic force
More informationChapter 9 Rotation of Rigid Bodies
Chapter 9 Rotation of Rigid Bodies 1 Angular Velocity and Acceleration θ = s r (angular displacement) The natural units of θ is radians. Angular Velocity 1 rad = 360o 2π = 57.3o Usually we pick the zaxis
More informationRotational Inertia Demonstrator
WWW.ARBORSCI.COM Rotational Inertia Demonstrator P33545 BACKGROUND: The Rotational Inertia Demonstrator provides an engaging way to investigate many of the principles of angular motion and is intended
More informationHigher Technological Institute Civil Engineering Department. Lectures of. Fluid Mechanics. Dr. Amir M. Mobasher
Higher Technological Institute Civil Engineering Department Lectures of Fluid Mechanics Dr. Amir M. Mobasher 1/14/2013 Fluid Mechanics Dr. Amir Mobasher Department of Civil Engineering Faculty of Engineering
More informationRotational inertia (moment of inertia)
Rotational inertia (moment of inertia) Define rotational inertia (moment of inertia) to be I = Σ m i r i 2 or r i : the perpendicular distance between m i and the given rotation axis m 1 m 2 x 1 x 2 Moment
More informationPHYSICS 111 HOMEWORK SOLUTION #9. April 5, 2013
PHYSICS 111 HOMEWORK SOLUTION #9 April 5, 2013 0.1 A potter s wheel moves uniformly from rest to an angular speed of 0.16 rev/s in 33 s. Find its angular acceleration in radians per second per second.
More informationLab 8: Ballistic Pendulum
Lab 8: Ballistic Pendulum Equipment: Ballistic pendulum apparatus, 2 meter ruler, 30 cm ruler, blank paper, carbon paper, masking tape, scale. Caution In this experiment a steel ball is projected horizontally
More informationPhysics 211 Week 12. Simple Harmonic Motion: Equation of Motion
Physics 11 Week 1 Simple Harmonic Motion: Equation of Motion A mass M rests on a frictionless table and is connected to a spring of spring constant k. The other end of the spring is fixed to a vertical
More informationAST 101 Lecture 7. Newton s Laws and the Nature of Matter
AST 101 Lecture 7 Newton s Laws and the Nature of Matter The Nature of Matter Democritus (c. 470380 BCE) posited that matter was composed of atoms Atoms: particles that can not be further subdivided 4
More informationPhysics 11 Fall 2012 Practice Problems 6  Solutions
Physics 11 Fall 01 Practice Problems 6  s 1. Two points are on a disk that is turning about a fixed axis perpendicular to the disk and through its center at increasing angular velocity. One point is on
More informationLinear Motion vs. Rotational Motion
Linear Motion vs. Rotational Motion Linear motion involves an object moving from one point to another in a straight line. Rotational motion involves an object rotating about an axis. Examples include a
More informationLab 7: Rotational Motion
Lab 7: Rotational Motion Equipment: DataStudio, rotary motion sensor mounted on 80 cm rod and heavy duty bench clamp (PASCO ME9472), string with loop at one end and small white bead at the other end (125
More informationLecture Presentation Chapter 7 Rotational Motion
Lecture Presentation Chapter 7 Rotational Motion Suggested Videos for Chapter 7 Prelecture Videos Describing Rotational Motion Moment of Inertia and Center of Gravity Newton s Second Law for Rotation Class
More informationChapter 3.8 & 6 Solutions
Chapter 3.8 & 6 Solutions P3.37. Prepare: We are asked to find period, speed and acceleration. Period and frequency are inverses according to Equation 3.26. To find speed we need to know the distance traveled
More informationAN ROINN OIDEACHAIS AGUS EOLAÍOCHTA LEAVING CERTIFICATE EXAMINATION, 2001 APPLIED MATHEMATICS HIGHER LEVEL
M3 AN ROINN OIDEACHAIS AGUS EOLAÍOCHTA LEAVING CERTIFICATE EXAMINATION, 00 APPLIED MATHEMATICS HIGHER LEVEL FRIDAY, JUNE AFTERNOON,.00 to 4.30 Six questions to be answered. All questions carry equal marks.
More informationQUESTION BANK UNIT6 CHAPTER8 GRAVITATION
QUESTION BANK UNIT6 CHAPTER8 GRAVITATION I. One mark Questions: 1. State Kepler s law of orbits. 2. State Kepler s law of areas. 3. State Kepler s law of periods. 4. Which physical quantity is conserved
More informationRotational Motion. Symbol Units Symbol Units Position x (m) θ (rad) (m/s) " = d# Source of Parameter Symbol Units Parameter Symbol Units
Introduction Rotational Motion There are many similarities between straightline motion (translation) in one dimension and angular motion (rotation) of a rigid object that is spinning around some rotation
More informationCenter of Mass/Momentum
Center of Mass/Momentum 1. 2. An Lshaped 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 Lshaped
More informationAnswer, Key { Homework 6 { Rubin H Landau 1 This printout should have 24 questions. Check that it is complete before leaving the printer. Also, multiplechoice questions may continue on the next column
More informationCHAPTER 6 WORK AND ENERGY
CHAPTER 6 WORK AND ENERGY CONCEPTUAL QUESTIONS. REASONING AND SOLUTION The work done by F in moving the box through a displacement s is W = ( F cos 0 ) s= Fs. The work done by F is W = ( F cos θ). s From
More informationA. 81 2 = 6561 times greater. B. 81 times greater. C. equally strong. D. 1/81 as great. E. (1/81) 2 = 1/6561 as great.
Q12.1 The mass of the Moon is 1/81 of the mass of the Earth. Compared to the gravitational force that the Earth exerts on the Moon, the gravitational force that the Moon exerts on the Earth is A. 81 2
More informationNEWTON S LAWS OF MOTION
NEWTON S LAWS OF MOTION Background: Aristotle believed that the natural state of motion for objects on the earth was one of rest. In other words, objects needed a force to be kept in motion. Galileo studied
More informationPhysics 2101 Section 3 March 19th : Ch. : Ch. 13 Announcements: Quiz today. Class Website:
Physics 2101 Section 3 March 19 th : Ch. 13 Announcements: Quiz today. Class Website: http://www.phys.lsu.edu/classes/spring2010/phys21013/ http://www.phys.lsu.edu/~jzhang/teaching.html Chapt. 13: Gravitation
More informationChapter 8: Rotational Motion of Solid Objects
Chapter 8: Rotational Motion of Solid Objects 1. An isolated object is initially spinning at a constant speed. Then, although no external forces act upon it, its rotational speed increases. This must be
More informationSOLID MECHANICS DYNAMICS TUTORIAL MOMENT OF INERTIA. This work covers elements of the following syllabi.
SOLID MECHANICS DYNAMICS TUTOIAL MOMENT OF INETIA This work covers elements of the following syllabi. Parts of the Engineering Council Graduate Diploma Exam D5 Dynamics of Mechanical Systems Parts of the
More informationHalliday, Resnick & Walker Chapter 13. Gravitation. Physics 1A PHYS1121 Professor Michael Burton
Halliday, Resnick & Walker Chapter 13 Gravitation Physics 1A PHYS1121 Professor Michael Burton II_A2: Planetary Orbits in the Solar System + Galaxy Interactions (You Tube) 21 seconds 131 Newton's Law
More informationAS COMPETITION PAPER 2008
AS COMPETITION PAPER 28 Name School Town & County Total Mark/5 Time Allowed: One hour Attempt as many questions as you can. Write your answers on this question paper. Marks allocated for each question
More informationTennessee 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 Fgrade. Other instructions will be given in the Hall. MULTIPLE CHOICE.
More informationUnderstanding the motion of the Universe. Motion, Force, and Gravity
Understanding the motion of the Universe Motion, Force, and Gravity Laws of Motion Stationary objects do not begin moving on their own. In the same way, moving objects don t change their movement spontaneously.
More informationPHY231 Section 1, Form B March 22, 2012
1. A car enters a horizontal, curved roadbed of radius 50 m. The coefficient of static friction between the tires and the roadbed is 0.20. What is the maximum speed with which the car can safely negotiate
More informationPHYS 117 Exam I. Multiple Choice Identify the letter of the choice that best completes the statement or answers the question.
PHYS 117 Exam I Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. 1. Car A travels from milepost 343 to milepost 349 in 5 minutes. Car B travels
More informationPhysics 207 Lecture 25. Lecture 25. For Thursday, read through all of Chapter 18. Angular Momentum Exercise
Lecture 5 Today Review: Exam covers Chapters 1417 17 plus angular momentum, statics Assignment For Thursday, read through all of Chapter 18 Physics 07: Lecture 5, Pg 1 Angular Momentum Exercise A mass
More informationF 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 250N force is directed horizontally as shown to push a 29kg box up an inclined plane at a constant speed. Determine the magnitude of the normal force,
More information