Rotational Dynamics Torque and Angular Acceleration

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 Rotational Dynamics. 9.5 Rotational Work and Energy.
READING QUIZ angular acceleration. angular velocity. angular mass.
Chapter 9 Rotational Dynamics.
 orque  orque  orque  orque  orque  orque  orque  orque  orque Chapter 10 Rotational Motion 10-4 Torque 10-5 Rotational Dynamics; Torque and Rotational.
Rotational Dynamics Chapter 9.
MHS Physics Department AP Unit I E 2 Torque and rotational statics.
Dynamics of a Rigid Body
Chapter 8 Rotational Dynamics
Chapter 12: Rolling, Torque and Angular Momentum.
Chapter 10: Rotation. Rotational Variables Radian Measure Angular Displacement Angular Velocity Angular Acceleration.
1 Lecture #4 Angular Momentum And moment of inertia And torque And Central force Moment of Inertia Difference between it and CM Worked examples :10.
I G is the “mass moment of inertia” for a body about an axis passing through the body’s mass center, G. I G is defined as: I G =  r 2 dm Units: kg-m 2.
Angular Momentum. Inertia and Velocity  In the law of action we began with mass and acceleration F = maF = ma  This was generalized to use momentum:
Rotational Motion. The Effect of Torque  A tangential force on a mass creates an acceleration. Tangential force: F t = m a tTangential force: F t = m.
Chapter 8 Rotational Equilibrium and Rotational Dynamics.
Rotational Dynamics. Moment of Inertia The angular acceleration of a rotating rigid body is proportional to the net applied torque:  is inversely proportional.
Work Let us examine the work done by a torque applied to a system. This is a small amount of the total work done by a torque to move an object a small.
 Torque: the ability of a force to cause a body to rotate about a particular axis.  Torque is also written as: Fl = Flsin = F l  Torque= force x.
Physics 1210/1310 Mechanics& Thermodynamics Thermodynamics Lecture R1-7 Rotational Motion.
Chapter 9: Rotational Dynamics
© 2005 Pearson Prentice Hall This work is protected by United States copyright laws and is provided solely for the use of instructors in teaching their.
Chapter 8 Rotational Motion.
Newton’s 2 nd Law for Rotation Post-Lab Since the graph is linear and contains (0,0) Slope.
8.2 Rotational Dynamics How do you get a ruler to spin on the end of a pencil? Apply a force perpendicular to the ruler. The ruler is the lever arm How.
© 2005 Pearson Prentice Hall This work is protected by United States copyright laws and is provided solely for the use of instructors in teaching their.
Moment Of Inertia.
We’re on a roll! The Physics of Rotation. Rotational Momentum and Energy Chapter 12.
1 Rotation of a Rigid Body Readings: Chapter How can we characterize the acceleration during rotation? - translational acceleration and - angular.
1 Work in Rotational Motion Find the work done by a force on the object as it rotates through an infinitesimal distance ds = r d  The radial component.
Fsinf The tendency of a force to rotate an
Chapter 9 Rotational Dynamics
Definition of Torque Statics and Dynamics of a rigid object
Rotational Dynamics 8.3. Newton’s Second Law of Rotation Net positive torque, counterclockwise acceleration. Net negative torque, clockwise acceleration.
10-5 Rotational Dynamics; Torque and Rotational Inertia
-Angular and Linear Quantities -Rotational Kinetic Energy -Moment of Inertia AP Physics C Mrs. Coyle.
Physics 111 Lecture Summaries (Serway 8 th Edition): Lecture 1Chapter 1&3Measurement & Vectors Lecture 2 Chapter 2Motion in 1 Dimension (Kinematics) Lecture.
 orque  orque  orque  orque  orque  orque  orque  orque  orque Chapter 10 Rotational Motion 10-4 Torque 10-5 Rotational Dynamics; Torque and Rotational.
Rotational Motion AP Physics C. Introduction The motion of a rigid body (an object with a definite shape that does not change) can be analyzed as the.
Today: (Ch. 8)  Rotational Motion.
Rotational Mechanics 1 We know that objects rotate due to the presence of torque acting on the object. The same principles that were true for what caused.
Rotational Equilibrium and Dynamics Rotation and Inertia.
Pgs Chapter 8 Rotational Equilibrium and Dynamics.
Rotational Equilibrium and Dynamics Russ Ballard Kentlake Science Department.
UNIT 6 Rotational Motion & Angular Momentum Rotational Dynamics, Inertia and Newton’s 2 nd Law for Rotation.
M 97 b b M P a a M 1. Find the moment of inertia around P
Angular Momentum 7.2.
College Physics, 7th Edition
Mg x L.
Unit 7 - Rotational Mechanics
Rotational Equilibrium and Dynamics
Honors Physics 1 Class 12 Fall 2013
Newton’s 2nd Law for Rotation
Translational-Rotational Analogues
8-1 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.
Student Evaluations.
Rotational Inertia 8.2.
Chapter 8 Rotational Motion.
Torque Torque (t) – measure of the ability of a force to rotate an object around an axis (fulcrum). Torque is not a force. It is a rotational analog to.
Chapter 10:Dynamics of Rotational Motion
Chapter 10 Rotational Motion
Rotational Equilibrium and Dynamics
Rotational Dynamics.
Physics 111 Practice Problem Solutions 09 Rotation, Moment of Inertia SJ 8th Ed.: Chap 10.1 – 10.5 Contents 11-4, 11-7, 11-8, 11-10, 11-17*, 11-22, 11-24,
ROTATIONAL INERTIA AND THE ROTATIONAL SECOND LAW
Rotational Dynamics The game plan….
Rotational Kinematics
For linear motion, we know that Ekin = p2/2m.
Period 2 Question 1.
Presentation transcript:

Rotational Dynamics Torque and Angular Acceleration Rotational Kinetic Energy Angular Momentum

Torque and Angular Acceleration Apply _______ __ ____ Multiply by r Left side is _________ Fig. 8.14, p. 240

Torque and Angular Acceleration Think of extended masses being made up of many point masses Net torque is _____ of torques on point masses Fig. 8.15, p. 240

Moment of Inertia Moment of Inertia depends on: mass _________ axis of ________

Rotational Kinetic Energy By analogy to ______________ kinetic energy  replace m with I and v with  Fig. 8.24, p. 247 Proof:

Angular Momentum Rotational ______ of translational momentum ____________ like translational momentum