PHYSICS 151 Notes for Online Lecture #11

Size: px
Start display at page:

Download "PHYSICS 151 Notes for Online Lecture #11"

Transcription

1 PHYSICS 151 ote for Online Lecture #11 A free-bod diagra i a wa to repreent all of the force that act on a bod. A free-bod diagra ake olving ewton econd law for a given ituation eaier, becaue ou re odeling the te a oething ipler than it actuall i. o draw a free-bod diagra: 1. Draw a eparate diagra for each bod in the proble. If ou have to deal with two ae, for exaple, ou need two diagra.. Repreent the bod a a point. or now, we don t know how to deal with force that caue rotation. We re onl dealing with force that caue linear otion. Regardle of what bod we re dealing with, we re going to repreent it a a point.. Draw each of the force that act directl on the bod. here are two iportant idea here: act directl and on. Recall that onl force that act directl on a bod are counted when ou u up the net force. he econd operative word i on : ake ure that ou have included onl thoe force acting on the bod. Don t include force that the bod exert on other thing, or force that aren t exerted on the bod that ou re analzing.. Draw all of the force o that their tail are at the dot and their head point in the direction of the force. 5. Label all of the force Ex. 1-1: Draw a free-bod diagra for the exaple of a hand holding a block againt the wall that i alo upended b a tring. Solution: he block i repreented a a point. We have four force: tenion due to the tring, the applied force fro the hand, the weight of the block and the noral force of the wall on the block. he free-bod diagra look like: A A g g 1

2 Ex. 1-: A peron i oving a 5 kg file cabinet b puhing it downward at an angle of 0 below the horizontal with an applied force of 5. What i the acceleration of the file cabinet? If ou draw a free-bod diagra for thi ituation, it will look like thi: θ = 0 A W Part of the applied force act to the right and part act downward. he cabinet i accelerating to the right not up and down, o the net force on the cabinet ut be zero. hat ean that part of the applied force add with the weight. he noral force ha to upport both the weight of the box and the force downward that the peron i appling. Regardle of the exact aount the applied force contribution downward, the noral force will alwa be greater than the weight. he equation for ewton econd law in the -direction i = g Ain 0 = 0 which allow one to olve for the noral force a = g+ A in 0. he iportance of the noral force will oon becoe apparent a we talk about friction. he equation for ewton econd law in the x-direction i x = Aco0 A co0 = ax for which one can olve for the acceleration ax =. Σ x = Acoθ = ax A coθ ax = = = kg ( 5 ) co ( 5 ) You r How would the proble change if the force were applied 0 above the horizontal. (It wouldn t change our anwer for acceleration at all in the preent proble. It would change it quite a bit if we were conidering friction becaue it would greatl affect the noral force.)

3 Ex. 1-: An elevator i being planned for a building. If the elevator ha a a of 1.50 x 10 what tenion ut the upporting cable be able to withtand? Draw the force acting on the elevator. kg, + W = 0 = W = g = a = (1.50 x10 kg)(9.80 ) = 1.7 x10 he elevator deigner forgot that the plan pecified that the elevator would experience a axiu upward acceleration of.50 / and intalled a cable that could upport.00 x 10 without breaking. I the elevator afe? o deterine whether the elevator i afe, we need to find out what tenion the cable will experience when accelerating. If we re-draw our diagra, thi tie including the acceleration in the picture, we find that when we appl ewton econd law, we have a light change. = a W = a = W + a = g ( + a) = (1.5 x10 kg) g a =.5 / ( ) + =.00 x10 +x 1.50 x 10 kg g + +x You r What acceleration would the elevator have to experience in order for the cable to break? Recall that the cable can handle.00 x 10. Anwer: 10. / You r What tenion would the cable experience if the elevator were being accelerated at.50 / in the negative direction (i.e. down?) Hint: draw the diagra and ake ure ou get the right ign on the acceleration) Anwer: 9.5 x 10

4 You r A hopper puhe a 7.5-kg hopping cart up a 1 incline, a hown below. ind the agnitude of the horizontal force needed to give the cart an acceleration of 1.1 /? x = coθ ginθ = a (7.5 kg) ( 9.81 ) in1 a ( + gin θ ) = = = coθ co1 8

5 5

PHYSICS 151 Notes for Online Lecture 2.2

PHYSICS 151 Notes for Online Lecture 2.2 PHYSICS 151 otes for Online Lecture. A free-bod diagra is a wa to represent all of the forces that act on a bod. A free-bod diagra akes solving ewton s second law for a given situation easier, because

More information

Description: Conceptual questions about projectile motion and some easy calculations. (uses applets)

Description: Conceptual questions about projectile motion and some easy calculations. (uses applets) Week 3: Chapter 3 [ Edit ] Overview Suary View Diagnotic View Print View with Anwer Week 3: Chapter 3 Due: 11:59p on Sunday, February 8, 2015 To undertand how point are awarded, read the Grading Policy

More information

A) When two objects slide against one another, the magnitude of the frictional force is always equal to μ

A) When two objects slide against one another, the magnitude of the frictional force is always equal to μ Phyic 100 Homewor 5 Chapter 6 Contact Force Introduced ) When two object lide againt one another, the magnitude of the frictional force i alway equal to μ B) When two object are in contact with no relative

More information

Incline and Friction Examples

Incline and Friction Examples Incline and riction Eample Phic 6A Prepared b Vince Zaccone riction i a force that oppoe the motion of urface that are in contact with each other. We will conider 2 tpe of friction in thi cla: KINETIC

More information

Version 001 test 1 review tubman (IBII201516) 1

Version 001 test 1 review tubman (IBII201516) 1 Version 001 test 1 review tuban (IBII01516) 1 This print-out should have 44 questions. Multiple-choice questions ay continue on the next colun or page find all choices before answering. Crossbow Experient

More information

Chapter 11 Relative Velocity

Chapter 11 Relative Velocity Chapter 11 Relatie Velocity 11 Relatie Velocity Vector add like ector, not like nuber. Except in that ery pecial cae in which the ector you are adding lie along one and the ae line, you can t jut add the

More information

Work, Energy, Conservation of Energy

Work, Energy, Conservation of Energy This test covers Work, echanical energy, kinetic energy, potential energy (gravitational and elastic), Hooke s Law, Conservation of Energy, heat energy, conservative and non-conservative forces, with soe

More information

6. Friction, Experiment and Theory

6. Friction, Experiment and Theory 6. Friction, Experiment and Theory The lab thi wee invetigate the rictional orce and the phyical interpretation o the coeicient o riction. We will mae ue o the concept o the orce o gravity, the normal

More information

Answer, Key Homework 7 David McIntyre 45123 Mar 25, 2004 1

Answer, Key Homework 7 David McIntyre 45123 Mar 25, 2004 1 Answer, Key Hoework 7 David McIntyre 453 Mar 5, 004 This print-out should have 4 questions. Multiple-choice questions ay continue on the next colun or page find all choices before aking your selection.

More information

Three Phase Theory - Professor J R Lucas

Three Phase Theory - Professor J R Lucas Three Phae Theory - Profeor J Luca A you are aware, to tranit power with ingle phae alternating current, we need two wire live wire and neutral. However you would have een that ditribution line uually

More information

MECH 2110 - Statics & Dynamics

MECH 2110 - Statics & Dynamics Chapter D Problem 3 Solution 1/7/8 1:8 PM MECH 11 - Static & Dynamic Chapter D Problem 3 Solution Page 7, Engineering Mechanic - Dynamic, 4th Edition, Meriam and Kraige Given: Particle moving along a traight

More information

Lecture L9 - Linear Impulse and Momentum. Collisions

Lecture L9 - Linear Impulse and Momentum. Collisions J. Peraire, S. Widnall 16.07 Dynaics Fall 009 Version.0 Lecture L9 - Linear Ipulse and Moentu. Collisions In this lecture, we will consider the equations that result fro integrating Newton s second law,

More information

Lesson 44: Acceleration, Velocity, and Period in SHM

Lesson 44: Acceleration, Velocity, and Period in SHM Lesson 44: Acceleration, Velocity, and Period in SHM Since there is a restoring force acting on objects in SHM it akes sense that the object will accelerate. In Physics 20 you are only required to explain

More information

v = x t = x 2 x 1 t 2 t 1 The average speed of the particle is absolute value of the average velocity and is given Distance travelled t

v = x t = x 2 x 1 t 2 t 1 The average speed of the particle is absolute value of the average velocity and is given Distance travelled t Chapter 2 Motion in One Dimenion 2.1 The Important Stuff 2.1.1 Poition, Time and Diplacement We begin our tudy of motion by conidering object which are very mall in comparion to the ize of their movement

More information

Linear Momentum and Collisions

Linear Momentum and Collisions Chapter 7 Linear Momentum and Colliion 7.1 The Important Stuff 7.1.1 Linear Momentum The linear momentum of a particle with ma m moving with velocity v i defined a p = mv (7.1) Linear momentum i a vector.

More information

( C) CLASS 10. TEMPERATURE AND ATOMS

( C) CLASS 10. TEMPERATURE AND ATOMS CLASS 10. EMPERAURE AND AOMS 10.1. INRODUCION Boyle s understanding of the pressure-volue relationship for gases occurred in the late 1600 s. he relationships between volue and teperature, and between

More information

Chapter 5: Applying Newton s Laws

Chapter 5: Applying Newton s Laws Chapter 5: Appling Newton s Laws Newton s 1 st Law he 1 st law defines what the natural states of motion: rest and constant velocit. Natural states of motion are and those states are when a = 0. In essence,

More information

Homework 8. problems: 10.40, 10.73, 11.55, 12.43

Homework 8. problems: 10.40, 10.73, 11.55, 12.43 Hoework 8 probles: 0.0, 0.7,.55,. Proble 0.0 A block of ass kg an a block of ass 6 kg are connecte by a assless strint over a pulley in the shape of a soli isk having raius R0.5 an ass M0 kg. These blocks

More information

The Virtual Spring Mass System

The Virtual Spring Mass System The Virtual Spring Mass Syste J. S. Freudenberg EECS 6 Ebedded Control Systes Huan Coputer Interaction A force feedbac syste, such as the haptic heel used in the EECS 6 lab, is capable of exhibiting a

More information

Physics 211: Lab Oscillations. Simple Harmonic Motion.

Physics 211: Lab Oscillations. Simple Harmonic Motion. Physics 11: Lab Oscillations. Siple Haronic Motion. Reading Assignent: Chapter 15 Introduction: As we learned in class, physical systes will undergo an oscillatory otion, when displaced fro a stable equilibriu.

More information

Unit 11 Using Linear Regression to Describe Relationships

Unit 11 Using Linear Regression to Describe Relationships Unit 11 Uing Linear Regreion to Decribe Relationhip Objective: To obtain and interpret the lope and intercept of the leat quare line for predicting a quantitative repone variable from a quantitative explanatory

More information

Stability of Funding Models: An Analytical Framework

Stability of Funding Models: An Analytical Framework Thoa Eienbach, Todd Keiter, Jae McAndrew, and Tanju Yorulazer Stability of Funding Model: An Analytical Fraework During the recent financial crii, any intitution and oe arket-baed interediation arrangeent

More information

HADNOUT E.13 - EXAMPLES ON TRANSFER FUNCTIONS, POLES AND ZEROS

HADNOUT E.13 - EXAMPLES ON TRANSFER FUNCTIONS, POLES AND ZEROS Paraura Leture 3 Augut HADNOUT E3 - EXAMPLES ON TRANSFER FUNCTIONS POLES AND ZEROS Exaple Deterine the tranfer funtion of the a-pring-daper yte The governing differential equation of a a-pring-daper yte

More information

Latitude dependence of the maximum duration of a total solar eclipse

Latitude dependence of the maximum duration of a total solar eclipse Latitue epenence of the axiu uration of a total olar eclipe Author: Jen Buu, with aitance fro Jean Meeu Contact: 6 Baker Street, Gayton, Northant, NN7 3EZ, UK jbuu@btinternet.co Introuction It i well known

More information

LAWS OF MOTION PROBLEM AND THEIR SOLUTION

LAWS OF MOTION PROBLEM AND THEIR SOLUTION http://www.rpauryascienceblog.co/ LWS OF OIO PROBLE D HEIR SOLUIO. What is the axiu value of the force F such that the F block shown in the arrangeent, does not ove? 60 = =3kg 3. particle of ass 3 kg oves

More information

Answer: Same magnitude total momentum in both situations.

Answer: Same magnitude total momentum in both situations. Page 1 of 9 CTP-1. In which situation is the agnitude of the total oentu the largest? A) Situation I has larger total oentu B) Situation II C) Sae agnitude total oentu in both situations. I: v 2 (rest)

More information

Newton s Law of Motion

Newton s Law of Motion chapter 5 Newton s Law of Motion Static system 1. Hanging two identical masses Context in the textbook: Section 5.3, combination of forces, Example 4. Vertical motion without friction 2. Elevator: Decelerating

More information

Chapter 4. Forces and Newton s Laws of Motion. continued

Chapter 4. Forces and Newton s Laws of Motion. continued Chapter 4 Forces and Newton s Laws of Motion continued 4.9 Static and Kinetic Frictional Forces When an object is in contact with a surface forces can act on the objects. The component of this force acting

More information

Lecture 6. Weight. Tension. Normal Force. Static Friction. Cutnell+Johnson: 4.8-4.12, second half of section 4.7

Lecture 6. Weight. Tension. Normal Force. Static Friction. Cutnell+Johnson: 4.8-4.12, second half of section 4.7 Lecture 6 Weight Tension Normal Force Static Friction Cutnell+Johnson: 4.8-4.12, second half of section 4.7 In this lecture, I m going to discuss four different kinds of forces: weight, tension, the normal

More information

while the force of kinetic friction is fk = µ

while the force of kinetic friction is fk = µ 19. REASONING AND SOLUION We know that µ s =2.0µ k for a crate in contact with a MAX cement floor. he maximum force of static friction is fs = µ sfn while the force of kinetic friction is fk = µ kfn. As

More information

How To Get A Loan From A Bank For Free

How To Get A Loan From A Bank For Free Finance 111 Finance We have to work with oney every day. While balancing your checkbook or calculating your onthly expenditures on espresso requires only arithetic, when we start saving, planning for retireent,

More information

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

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

More information

Figure 1. Universal Hydraulic Testing Machine

Figure 1. Universal Hydraulic Testing Machine Mechanical Teting Mechanical teting i a general ter which refer to a broad range of activity involved with the deterination of echanical propertie and behavior of aterial, tructure and achine. Typically,

More information

Lecture 14: Transformers. Ideal Transformers

Lecture 14: Transformers. Ideal Transformers White, EE 3 Lecture 14 Page 1 of 9 Lecture 14: Tranforer. deal Tranforer n general, a tranforer i a ultiort ac device that convert voltage, current and iedance fro one value to another. Thi device only

More information

Math 22B, Homework #8 1. y 5y + 6y = 2e t

Math 22B, Homework #8 1. y 5y + 6y = 2e t Math 22B, Homework #8 3.7 Problem # We find a particular olution of the ODE y 5y + 6y 2e t uing the method of variation of parameter and then verify the olution uing the method of undetermined coefficient.

More information

and that of the outgoing water is mv f

and that of the outgoing water is mv f Week 6 hoework IMPORTANT NOTE ABOUT WEBASSIGN: In the WebAssign ersions of these probles, arious details hae been changed, so that the answers will coe out differently. The ethod to find the solution is

More information

MSc Financial Economics: International Finance. Bubbles in the Foreign Exchange Market. Anne Sibert. Revised Spring 2013. Contents

MSc Financial Economics: International Finance. Bubbles in the Foreign Exchange Market. Anne Sibert. Revised Spring 2013. Contents MSc Financial Economic: International Finance Bubble in the Foreign Exchange Market Anne Sibert Revied Spring 203 Content Introduction................................................. 2 The Mone Market.............................................

More information

Physics 111. Exam #1. January 24, 2014

Physics 111. Exam #1. January 24, 2014 Phyic 111 Exam #1 January 24, 2014 Name Pleae read and follow thee intruction carefully: Read all problem carefully before attempting to olve them. Your work mut be legible, and the organization clear.

More information

v v ax v a x a v a v = = = Since F = ma, it follows that a = F/m. The mass of the arrow is unchanged, and ( )

v v ax v a x a v a v = = = Since F = ma, it follows that a = F/m. The mass of the arrow is unchanged, and ( ) Week 3 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 information

Data Sheet. Industrial shock absorbers (linear decelerators)

Data Sheet. Industrial shock absorbers (linear decelerators) Data Pack G Iued March 2001 1502621407 Data Sheet Indutrial hock aborber (linear decelerator) Introduction Spring and buffer cannot atch the perforance of linear decelerator (the correct nae for indutrial

More information

Worked Examples. v max =?

Worked Examples. v max =? Exaple iction + Unifo Cicula Motion Cicula Hill A ca i diing oe a ei-cicula hill of adiu. What i the fatet the ca can die oe the top of the hill without it tie lifting off of the gound? ax? (1) Copehend

More information

Lecture L26-3D Rigid Body Dynamics: The Inertia Tensor

Lecture L26-3D Rigid Body Dynamics: The Inertia Tensor J. Peraire, S. Widnall 16.07 Dynaics Fall 008 Lecture L6-3D Rigid Body Dynaics: The Inertia Tensor Version.1 In this lecture, we will derive an expression for the angular oentu of a 3D rigid body. We shall

More information

Combined make-to-order/make-to-stock supply chains

Combined make-to-order/make-to-stock supply chains IIE Tranaction 2009 41, 103 119 Copyright C IIE ISSN: 0740-817X print / 1545-8830 online DOI: 10.1080/07408170801975065 Cobined ake-to-order/ake-to-tock upply chain PHILIP KAMINSKY 1, and ONUR KAYA 2 1

More information

Phys101 Lectures 14, 15, 16 Momentum and Collisions

Phys101 Lectures 14, 15, 16 Momentum and Collisions Phs0 Lectures 4, 5, 6 Moentu and ollisions Ke points: Moentu and ipulse ondition for conservation of oentu and wh How to solve collision probles entre of ass Ref: 9-,,3,4,5,6,7,8,9. Page Moentu is a vector:

More information

Classical Physics I. PHY131 Lecture 7 Friction Forces and Newton s Laws. Lecture 7 1

Classical Physics I. PHY131 Lecture 7 Friction Forces and Newton s Laws. Lecture 7 1 Classical Phsics I PHY131 Lecture 7 Friction Forces and Newton s Laws Lecture 7 1 Newton s Laws: 1 & 2: F Net = ma Recap LHS: All the forces acting ON the object of mass m RHS: the resulting acceleration,

More information

In this this review we turn our attention to the square root function, the function defined by the equation. f(x) = x. (5.1)

In this this review we turn our attention to the square root function, the function defined by the equation. f(x) = x. (5.1) Section 5.2 The Square Root 1 5.2 The Square Root In this this review we turn our attention to the square root function, the function defined b the equation f() =. (5.1) We can determine the domain and

More information

Chapter 30: Magnetic Fields Due to Currents

Chapter 30: Magnetic Fields Due to Currents d Chapte 3: Magnetic Field Due to Cuent A moving electic chage ceate a magnetic field. One of the moe pactical way of geneating a lage magnetic field (.1-1 T) i to ue a lage cuent flowing though a wie.

More information

Design Capacities for Structural Plywood

Design Capacities for Structural Plywood Deign Capacitie for Structural Plyood Alloale Stre Deign (ASD) The deign value in thi document correpond ith thoe pulihed in the 005 edition of the AF&PA American Wood Council Alloale Stre Deign (ASD)/RFD

More information

Physics 53. Kinematics 2. Our nature consists in movement; absolute rest is death. Pascal

Physics 53. Kinematics 2. Our nature consists in movement; absolute rest is death. Pascal Phsics 53 Kinematics 2 Our nature consists in movement; absolute rest is death. Pascal Velocit and Acceleration in 3-D We have defined the velocit and acceleration of a particle as the first and second

More information

Design Capacities for Oriented Strand Board

Design Capacities for Oriented Strand Board Deign Capacitie for Oriented Strand Board Alloale Stre Deign (ASD) The deign value in thi document correpond ith thoe pulihed in the 005 edition of the AF&PA American Wood Council Alloale Stre Deign (ASD)/RFD

More information

The Mathematics of Pumping Water

The Mathematics of Pumping Water The Matheatics of Puping Water AECOM Design Build Civil, Mechanical Engineering INTRODUCTION Please observe the conversion of units in calculations throughout this exeplar. In any puping syste, the role

More information

Chapter 6 Work and Kinetic Energy

Chapter 6 Work and Kinetic Energy Chapter 6 ork and Kinetic Energ Conceptual Probles True or alse: (a) I the net or work done on a particle was not zero, then its speed ust have changed. (b) I the net or work done on a particle was not

More information

Vector Fields and Line Integrals

Vector Fields and Line Integrals Vector Fields and Line Integrals 1. Match the following vector fields on R 2 with their plots. (a) F (, ), 1. Solution. An vector, 1 points up, and the onl plot that matches this is (III). (b) F (, ) 1,.

More information

Rotation of an Object About a Fixed Axis

Rotation of an Object About a Fixed Axis Chapter 1 Rotation of an Object About a Fixed Axi 1.1 The Important Stuff 1.1.1 Rigid Bodie; Rotation So far in our tudy of phyic we have (with few exception) dealt with particle, object whoe patial dimenion

More information

FRICTION, WORK, AND THE INCLINED PLANE

FRICTION, WORK, AND THE INCLINED PLANE FRICTION, WORK, AND THE INCLINED PLANE Objective: To measure the coefficient of static and inetic friction between a bloc and an inclined plane and to examine the relationship between the plane s angle

More information

ABS lifting unit 5 kn

ABS lifting unit 5 kn 1 597 0503 GB 01.2013 en DE 0- Installation and Operating Instructions Translation fro original instruction www.sulzer.co Installation and Operating Instructions for Lifting device support, shape A (for

More information

SOLUTIONS TO CONCEPTS CHAPTER 16

SOLUTIONS TO CONCEPTS CHAPTER 16 . air = 30 m/. = 500 m/. Here S = 7 m So, t = t t = 330 500 SOLUIONS O CONCEPS CHPER 6 =.75 0 3 ec =.75 m.. Here gien S = 80 m = 60 m. = 30 m/ So the maximum time interal will be t = 5/ = 60/30 = 0.5 econd.

More information

B Answer: neither of these. Mass A is accelerating, so the net force on A must be non-zero Likewise for mass B.

B Answer: neither of these. Mass A is accelerating, so the net force on A must be non-zero Likewise for mass B. CTA-1. An Atwood's machine is a pulley with two masses connected by a string as shown. The mass of object A, m A, is twice the mass of object B, m B. The tension T in the string on the left, above mass

More information

Objective: Equilibrium Applications of Newton s Laws of Motion I

Objective: Equilibrium Applications of Newton s Laws of Motion I Type: Single Date: Objective: Equilibrium Applications of Newton s Laws of Motion I Homework: Assignment (1-11) Read (4.1-4.5, 4.8, 4.11); Do PROB # s (46, 47, 52, 58) Ch. 4 AP Physics B Mr. Mirro Equilibrium,

More information

Solved Problems Chapter 3: Mechanical Systems

Solved Problems Chapter 3: Mechanical Systems ME 43: Sytem Dynamic and Contro Probem A-3-8- Soved Probem Chapter 3: Mechanica Sytem In Figure 3-3, the impe penduum hown conit of a phere of ma m upended by a tring of negigibe ma. Negecting the eongation

More information

Image restoration for a rectangular poor-pixels detector

Image restoration for a rectangular poor-pixels detector Iage restoration for a rectangular poor-pixels detector Pengcheng Wen 1, Xiangjun Wang 1, Hong Wei 2 1 State Key Laboratory of Precision Measuring Technology and Instruents, Tianjin University, China 2

More information

F=ma From Problems and Solutions in Introductory Mechanics (Draft version, August 2014) David Morin, morin@physics.harvard.edu

F=ma From Problems and Solutions in Introductory Mechanics (Draft version, August 2014) David Morin, morin@physics.harvard.edu Chapter 4 F=a Fro Probles and Solutions in Introductory Mechanics (Draft version, August 2014) David Morin, orin@physics.harvard.edu 4.1 Introduction Newton s laws In the preceding two chapters, we dealt

More information

Module 8. Three-phase Induction Motor. Version 2 EE IIT, Kharagpur

Module 8. Three-phase Induction Motor. Version 2 EE IIT, Kharagpur Module 8 Three-phae Induction Motor Verion EE IIT, Kharagpur Leon 33 Different Type of Starter for Induction Motor (IM Verion EE IIT, Kharagpur Inructional Objective Need of uing arter for Induction motor

More information

STATIC AND KINETIC FRICTION

STATIC AND KINETIC FRICTION STATIC AND KINETIC FRICTION LAB MECH 3.COMP From Physics with Computers, Vernier Software & Technology, 2000. INTRODUCTION If you try to slide a heavy box resting on the floor, you may find it difficult

More information

ASHRAE Journal July 2002 33

ASHRAE Journal July 2002 33 Copyright 2002, Aerican ociety of Heating, Refrigerating and Air-Conditioning Engineer, Inc. (www.ahrae.org). Reprinted by periion fro AHRAE Journal, July 2002. Thi article ay not be copied nor ditributed

More information

= 4.24 10 15 W m 2. = 1.20 10 12 J = 7.50 MeV

= 4.24 10 15 W m 2. = 1.20 10 12 J = 7.50 MeV Phyic 111 Fall 7 Light Solution 1 The huan eye i ot enitive to light having a wavelength of 55 7, which i in the green yellow region of the viible electroagnetic pectru What i the frequency of thi light?

More information

A Primer on Dimensions and Units

A Primer on Dimensions and Units 1 Dienion v Unit A Prier on Dienion and Unit Glen Thornrot Mehanial Enineerin Departent Cal Poly State Univerity, San Lui Obipo Nearly every enineerin proble you will enounter will involve dienion: the

More information

Solving Newton s Second Law Problems

Solving Newton s Second Law Problems Solving ewton s Second Law Problems Michael Fowler, Phys 142E Lec 8 Feb 5, 2009 Zero Acceleration Problems: Forces Add to Zero he Law is F ma : the acceleration o a given body is given by the net orce

More information

TEACHER ANSWER KEY November 12, 2003. Phys - Vectors 11-13-2003

TEACHER ANSWER KEY November 12, 2003. Phys - Vectors 11-13-2003 Phys - Vectors 11-13-2003 TEACHER ANSWER KEY November 12, 2003 5 1. A 1.5-kilogram lab cart is accelerated uniformly from rest to a speed of 2.0 meters per second in 0.50 second. What is the magnitude

More information

Chapter 4. 4.3 Applications of Energy Balance

Chapter 4. 4.3 Applications of Energy Balance Capter 4 4. Appliation of Energy Balane We will diu exaple illutrating te analyi of erveral devie of interet in engineering, inluding nozzle and diffuer, turbine, opreor and pup, eat exanger, and trottling

More information

EDEXCEL NATIONAL CERTIFICATE/DIPLOMA MECHANICAL PRINCIPLES AND APPLICATIONS NQF LEVEL 3 OUTCOME 1 - LOADING SYSTEMS

EDEXCEL NATIONAL CERTIFICATE/DIPLOMA MECHANICAL PRINCIPLES AND APPLICATIONS NQF LEVEL 3 OUTCOME 1 - LOADING SYSTEMS EDEXCEL NATIONAL CERTIFICATE/DIPLOMA MECHANICAL PRINCIPLES AND APPLICATIONS NQF LEVEL 3 OUTCOME 1 - LOADING SYSTEMS TUTORIAL 1 NON-CONCURRENT COPLANAR FORCE SYSTEMS 1. Be able to determine the effects

More information

If you put the same book on a tilted surface the normal force will be less. The magnitude of the normal force will equal: N = W cos θ

If you put the same book on a tilted surface the normal force will be less. The magnitude of the normal force will equal: N = W cos θ Experiment 4 ormal and Frictional Forces Preparation Prepare for this week's quiz by reviewing last week's experiment Read this week's experiment and the section in your textbook dealing with normal forces

More information

Two-Body System: Two Hanging Masses

Two-Body System: Two Hanging Masses Specific Outcome: i. I can apply Newton s laws of motion to solve, algebraically, linear motion problems in horizontal, vertical and inclined planes near the surface of Earth, ignoring air resistance.

More information

Investing in corporate bonds?

Investing in corporate bonds? Investing in corporate bonds? This independent guide fro the Australian Securities and Investents Coission (ASIC) can help you look past the return and assess the risks of corporate bonds. If you re thinking

More information

Audio Engineering Society. Convention Paper. Presented at the 119th Convention 2005 October 7 10 New York, New York USA

Audio Engineering Society. Convention Paper. Presented at the 119th Convention 2005 October 7 10 New York, New York USA Audio Engineering Society Convention Paper Presented at the 119th Convention 2005 October 7 10 New York, New York USA This convention paper has been reproduced fro the authors advance anuscript, without

More information

Investing in corporate bonds?

Investing in corporate bonds? Investing in corporate bonds? This independent guide fro the Australian Securities and Investents Coission (ASIC) can help you look past the return and assess the risks of corporate bonds. If you re thinking

More information

AP Physics: Rotational Dynamics 2

AP Physics: Rotational Dynamics 2 Name: Assignment Due Date: March 30, 2012 AP Physics: Rotational Dynamics 2 Problem A solid cylinder with mass M, radius R, and rotational inertia 1 2 MR2 rolls without slipping down the inclined plane

More information

Doppler effect, moving sources/receivers

Doppler effect, moving sources/receivers Goals: Lecture 29 Chapter 20 Work with a ew iportant characteristics o sound waves. (e.g., Doppler eect) Chapter 21 Recognize standing waves are the superposition o two traveling waves o sae requency Study

More information

Chapter 4: Newton s Laws: Explaining Motion

Chapter 4: Newton s Laws: Explaining Motion Chapter 4: Newton s Laws: Explaining Motion 1. All except one of the following require the application of a net force. Which one is the exception? A. to change an object from a state of rest to a state

More information

The Force Table Vector Addition and Resolution

The Force Table Vector Addition and Resolution Name School Date The Force Table Vector Addition and Resolution Vectors? I don't have any vectors, I'm just a kid. From Flight of the Navigator Explore the Apparatus/Theory We ll use the Force Table Apparatus

More information

Model-Based Error Correction for Flexible Robotic Surgical Instruments

Model-Based Error Correction for Flexible Robotic Surgical Instruments Model-Based Error Correction for Flexible Robotic Surgical Instruents Ran A. Beasle Robert D. Howe Division of Engineering and Applied Sciences Harvard Universit Abstract Robots proise to enhance iniall-invasive

More information

5.7 Chebyshev Multi-section Matching Transformer

5.7 Chebyshev Multi-section Matching Transformer /9/ 5_7 Chebyshev Multisection Matching Transforers / 5.7 Chebyshev Multi-section Matching Transforer Reading Assignent: pp. 5-55 We can also build a ultisection atching network such that Γ f is a Chebyshev

More information

Solution of the Heat Equation for transient conduction by LaPlace Transform

Solution of the Heat Equation for transient conduction by LaPlace Transform Solution of the Heat Equation for tranient conduction by LaPlace Tranform Thi notebook ha been written in Mathematica by Mark J. McCready Profeor and Chair of Chemical Engineering Univerity of Notre Dame

More information

B) 286 m C) 325 m D) 367 m Answer: B

B) 286 m C) 325 m D) 367 m Answer: B Practice Midterm 1 1) When a parachutist jumps from an airplane, he eventually reaches a constant speed, called the terminal velocity. This means that A) the acceleration is equal to g. B) the force of

More information

Optical Illusion. Sara Bolouki, Roger Grosse, Honglak Lee, Andrew Ng

Optical Illusion. Sara Bolouki, Roger Grosse, Honglak Lee, Andrew Ng Optical Illuion Sara Bolouki, Roger Groe, Honglak Lee, Andrew Ng. Introduction The goal of thi proect i to explain ome of the illuory phenomena uing pare coding and whitening model. Intead of the pare

More information

Design, Manufacturing & Analysis of Differential Crown Gear and Pinion for MFWD Axle

Design, Manufacturing & Analysis of Differential Crown Gear and Pinion for MFWD Axle IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE) ISSN(e) : 2278-1684, ISSN(p) : 220 4X, PP : 59-66 www.iosrjournals.org Design, Manufacturing & Analysis of Differential Crown Gear and Pinion

More information

A CHAOS MODEL OF SUBHARMONIC OSCILLATIONS IN CURRENT MODE PWM BOOST CONVERTERS

A CHAOS MODEL OF SUBHARMONIC OSCILLATIONS IN CURRENT MODE PWM BOOST CONVERTERS A CHAOS MODEL OF SUBHARMONIC OSCILLATIONS IN CURRENT MODE PWM BOOST CONVERTERS Isaac Zafrany and Sa BenYaakov Departent of Electrical and Coputer Engineering BenGurion University of the Negev P. O. Box

More information

Physics 1A Lecture 10C

Physics 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 information

A Determination of g, the Acceleration Due to Gravity, from Newton's Laws of Motion

A Determination of g, the Acceleration Due to Gravity, from Newton's Laws of Motion A Determination of g, the Acceleration Due to Gravity, from Newton's Laws of Motion Objective In the experiment you will determine the cart acceleration, a, and the friction force, f, experimentally for

More information

Schmid Peoplemover Overpass and Revolution. The Discovery of a New Way.

Schmid Peoplemover Overpass and Revolution. The Discovery of a New Way. Schmid Peoplemover Overpa and Revolution. The Dicovery of a New Way. A Company of ThyenKrupp Elevator ThyenKrupp Aufzüge TK Creating New Way Demand New Way of Thinking. The Schmid Peoplemover Remove the

More information

Slope-Intercept Form and Point-Slope Form

Slope-Intercept Form and Point-Slope Form Slope-Intercept Form and Point-Slope Form In this section we will be discussing Slope-Intercept Form and the Point-Slope Form of a line. We will also discuss how to graph using the Slope-Intercept Form.

More information

Research question: How does the velocity of the balloon depend on how much air is pumped into the balloon?

Research question: How does the velocity of the balloon depend on how much air is pumped into the balloon? Katie Chang 3A For this balloon rocket experiment, we learned how to plan a controlled experiment that also deepened our understanding of the concepts of acceleration and force on an object. My partner

More information

Physics 2A, Sec B00: Mechanics -- Winter 2011 Instructor: B. Grinstein Final Exam

Physics 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 information

your Rights Consumer Guarantees Understanding Consumer Electronic Devices, Home Appliances & Home Entertainment Products

your Rights Consumer Guarantees Understanding Consumer Electronic Devices, Home Appliances & Home Entertainment Products Conumer Guarantee Undertanding your Right Conumer Electronic Device, Home Appliance & Home Entertainment Product Voluntary Warranty Guide February 2014 JB Hi-Fi Group Pty Ltd (ABN 37 093 II4 286) The Autralian

More information

2141-375 Measurement and Instrumentation. Analog Electrical Devices and Measurements

2141-375 Measurement and Instrumentation. Analog Electrical Devices and Measurements 2141-375 Measureent and Instruentation nalog Electrical Devices and Measureents nalog Devices: Current Measureents Force on a conductor I conductor is placed in a unifor agnetic field B T, at an angle

More information

Performance of a Browser-Based JavaScript Bandwidth Test

Performance of a Browser-Based JavaScript Bandwidth Test Performance of a Brower-Baed JavaScript Bandwidth Tet David A. Cohen II May 7, 2013 CP SC 491/H495 Abtract An exiting brower-baed bandwidth tet written in JavaScript wa modified for the purpoe of further

More information

A Gas Law And Absolute Zero

A Gas Law And Absolute Zero A Gas Law And Absolute Zero Equipent safety goggles, DataStudio, gas bulb with pressure gauge, 10 C to +110 C theroeter, 100 C to +50 C theroeter. Caution This experient deals with aterials that are very

More information

W02D2-2 Table Problem Newton s Laws of Motion: Solution

W02D2-2 Table Problem Newton s Laws of Motion: Solution ASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Physics 8.01 W0D- Table Problem Newton s Laws of otion: Solution Consider two blocks that are resting one on top of the other. The lower block

More information

Ladar-Based Detection and Tracking of Moving Objects from a Ground Vehicle at High Speeds

Ladar-Based Detection and Tracking of Moving Objects from a Ground Vehicle at High Speeds Ladar-aed Detection and Tracing of Moving Object fro a Ground Vehicle at High Speed Chieh-Chih Wang, Charle Thorpe and rne Suppe Robotic Intitute Carnegie Mellon niverity Pittburgh, P, 15213S Eail: {bobwang,

More information

2. The acceleration of a simple harmonic oscillator is zero whenever the oscillating object is at the equilibrium position.

2. The acceleration of a simple harmonic oscillator is zero whenever the oscillating object is at the equilibrium position. CHAPTER : Vibrations and Waes Answers to Questions The acceleration o a siple haronic oscillator is zero wheneer the oscillating object is at the equilibriu position 5 The iu speed is gien by = A k Various

More information