 Chapter 11: Rotational Dynamics and Static Equilibrium Ch11-1 Torque

Slides:

Advertisements

Similar presentations

Torque, Equilibrium, & Dynamics Torque Dynamics Rotational Inertia Angular Acceleration Equilibrium Rotational Energy Angular Momentum.

Advertisements

Angular Quantities Correspondence between linear and rotational quantities:

Chapter 9 Objectives Calculate the torque created by a force.

4. The answer depends on the rotational inertia of the dumbbell.

Lecture 15 Rotational Dynamics.

ConcepTest Clicker Questions

Rotational Dynamics Lecturer: Professor Stephen T. Thornton

© 2007 Pearson Prentice Hall This work is protected by United States copyright laws and is provided solely for the use of instructors in teaching their.

Torque Looking back Looking ahead Newton’s second law.

ConcepTest Clicker Questions College Physics, 7th Edition

©1997 by Eric Mazur Published by Pearson Prentice Hall

Physics 101: Chapter 9 Today’s lecture will cover Textbook Sections

Rotational Motion and Equilibrium

Physics 203 College Physics I Fall 2012

A 40-kg mass placed 1.25 m on the opposite side of the support point balances a mass of 25 kg, placed (x) m from the support point of a uniform beam. What.

Foundations of Physics

Torque. Tough Nut  Which of the four arrangements is best for tightening a bolt? ABCD.

Chapter 9 Rotational Dynamics.

Warm Up Ch. 9 & 10 1.What is the relationship between period and frequency? (define and include formulas) 2.If an object rotates at 0.5 Hz. What is the.

Torque. Definition The tendency of a force applied to an object to cause rotation about an axis.

Rotational Dynamics and Static Equlibrium Teacher: Luiz Izola

Chapter 4 : statics 4-1 Torque Torque, , is the tendency of a force to rotate an object about some axis is an action that causes objects to rotate. Torque.

Chapter 11 Rotational Mechanics. Torque If you want to make an object move, apply a force. If you want to make an object rotate, apply a torque. Torque.

Torque. Tough Nut  Which of the four arrangements is best for tightening a bolt? ABCD.

Rotational Kinematics

Rotational Dynamics and Static Equilibrium

Chapter Eight Rotational Dynamics Rotational Dynamics.

Chapter 11 Rotational Dynamics and Static Equilibrium

CT1:A ladybug sits at the outer edge of a merry-go-round, and a gentleman bug sits halfway between her and the axis of rotation. The merry-go-round makes.

  = r x F  = rFsin  ixi = jxj = kxk = 0 ixj = k (ijkijk)

Dr. Jie Zou PHY 1151G Department of Physics1 Chapter 11 Rotational Dynamics and Static Equilibrium.

Chapter 8 Rotational Equilibrium and Rotational Dynamics.

You are trying to open a door that is stuck by pulling on the doorknob in a direction perpendicular to the door. If you instead tie a rope to the doorknob.

ConcepTest 9.4 Using a Wrench

Torque & Rotational Inertia Lecturer: Professor Stephen T. Thornton.

Rotational Dynamics and Static Equilibrium (Cont.)

Chapter 9: Rotational Dynamics

Chapter 8 Torque and Rotation  8.2 Torque and Stability  6.5 Center of Mass  8.3 Rotational Inertia Dorsey, Adapted from CPO Science DE Physics.

Rotational Motion. Deg, Rad, Grad There are 360 degrees in one rotation of a circe. There are 2π radians in one rotation of a circle. There are 400 gradians.

Angular Kinetics After reading this chapter, the student should be able to: Define torque and discuss the characteristics of a torque. State the angular.

Physics 203 – College Physics I Department of Physics – The Citadel Physics 203 College Physics I Fall 2012 S. A. Yost Chapter 8 Part 3 Chapter 9 Angular.

Equations for Projectile Motion

Physics 203 – College Physics I Department of Physics – The Citadel Physics 203 College Physics I Fall 2012 S. A. Yost Chapter 8 Part 1 Rotational Motion.

AP Physics 1 Review Chs 8&9 Rotational Kinematics and Dynamics

Rotational Dynamics and Static Equilibrium

Physics 101: Lecture 14, Pg 1 Physics 101: Lecture 14 Torque and Equilibrium l Today’s lecture will cover Textbook Chapter

Chapter 9 Rotational Dynamics

Definition of Torque Statics and Dynamics of a rigid object

ConcepTest 10.1aBonnie and Klyde I Bonnie Klyde Bonnie sits on the outer rim of a merry-go-round, and Klyde sits midway between the center and the rim.

T072 : Q13. Assume that a disk starts from rest and rotates with an angular acceleration of 2.00 rad/s 2. The time it takes to rotate through the first.

1/15/16Oregon State University PH 212, Class 61 Here are some of the direct analogies between (linear) translational and rotational motion: Quantity or.

Chapter 11 – Rotational Dynamics & Static Equilibrium.

Copyright © 2010 Pearson Education, Inc. Lecture Outline Chapter 11 Physics, 4 th Edition James S. Walker.

Today: (Ch. 8)  Rotational Motion.

Pgs Chapter 8 Rotational Equilibrium and Dynamics.

UNIT 6 Rotational Motion & Angular Momentum Rotational Dynamics, Inertia and Newton’s 2 nd Law for Rotation.

ROTATIONAL DYNAMICS. ROTATIONAL DYNAMICS AND MOMENT OF INERTIA  A Force applied to an object can cause it to rotate.  Lets assume the F is applied at.

TORQUE A torque is an action that causes objects to rotate. Torque is not the same thing as force. For rotational motion, the torque is what is most directly.

You are using a wrench and trying to loosen a rusty nut

Ch 8 : Rotational Motion .

PHY 131 Chapter 8-Part 1.

Rotational Dynamics and Static Equilibrium

Foundations of Physics

Rotational Dynamics Torque and Angular Acceleration

ConcepTest 8.1a Bonnie and Klyde I

Remember Newton’s 2nd Law?

Presentation transcript:

 Chapter 11: Rotational Dynamics and Static Equilibrium Ch11-1 Torque CCW +

Applying a Torque

Ct1: You are using a wrench and trying to loosen a rusty nut Ct1: You are using a wrench and trying to loosen a rusty nut. Which of the arrangements shown is least effective in loosening the nut? A B C D

Chapter 11: Rotational Dynamics and Static Equilibrium Ch11-1 Torque  = rF = rFsin

Chapter 11: Rotational Dynamics and Static Equilibrium Torque = moment arm x force = rF = rsinF The moment arm is the perpendicular distance from rotation axis to the line of action of the force. moment arm line of action of the force

P11.2 (p.350)

  = I Torques summed about fixed axis O. Chapter 11: Rotational Dynamics and Static Equilibrium  CCW + Ch11-2 Torque and Angular Acceleration  = I Torques summed about fixed axis O. P11.15 (p.351)

CT2: Two wheels with fixed hubs, each having a mass of 1 kg, start from rest, and forces are applied as shown. Assume the hubs and spokes are massless, so that the rotational inertia is I = mR2. In order to impart identical angular accelerations, how large must F2 be? A. 0.25 N B. 0.5 N C. 1 N D. 2 N E. 4 N

 Chapter 11: Rotational Dynamics and Static Equilibrium CCW + Ch11-3 Zero Torque and Static Equilibrium F = 0 and  = 0 P11.22 (p.351) 

CT3: P11.22c If the mass of the teeter-totter were doubled, the answers to parts a and b for the position of the applied force would double. halve. stay the same.

P11.31 (p.352)

Chapter 11: Rotational Dynamics and Static Equilibrium Ch11-4 Center of Mass and Balance Near the Earth, the center of mass is the balance point of an object.

Chapter 11: Rotational Dynamics and Static Equilibrium Ch11-5 Dynamic Applications of Torque We can finally relax the simplification that a pulley is massless. P11.44 (p.353)

CT4: P11.44a The 25N tension is greater than the tension on the other side. less than the tension on the other side. the same as the tension on the other side.

Chapter 11: Rotational Dynamics and Static Equilibrium Ch11-6 Angular Momentum p = mv (kgm/s) L = I (fixed axis) (kgm2/s) F = p/t  = L/t P11.55 (p.353)    

Chapter 11: Rotational Dynamics and Static Equilibrium Ch11-7 Conservation of Angular Momentum If Fext = 0, then ptot is conserved If  = 0, then Ltot is conserved P11.63 (p.354)  

Chapter 11: Rotational Dynamics and Static Equilibrium Ch11-8 Rotational Work and Power W = Fx =  (one dimension or fixed axis) W = K Power = W/t = /t =  P11.68 (p.354)