Rolling motion (axis of rotation is moving) Torque Angular momentum Angular momentum is conserved Chapter 11: Angular Momentum part 2 Reading assignment:

Slides:



Advertisements
Similar presentations
Review Problems From Chapter 10&11. 1) At t=0, a disk has an angular velocity of 360 rev/min, and constant angular acceleration of rad/s**2. How.
Advertisements

Lecture 19: Angular Momentum: II
Chapter 11 Angular Momentum
Ch 9. Rotational Dynamics In pure translational motion, all points on an object travel on parallel paths. The most general motion is a combination of translation.
Rotational Motion October 31, 2005 and November 2, 2005.
Class 28 - Rolling, Torque and Angular Momentum Chapter 11 - Friday October 29th Reading: pages 275 thru 281 (chapter 11) in HRW Read and understand the.
Chapter 11: Rolling Motion, Torque and Angular Momentum
Chapter 9 Rotational Dynamics.
Dynamics of Rotational Motion
Announcements 1.Midterm 2 on Wednesday, Oct Material: Chapters Review on Tuesday (outside of class time) 4.I’ll post practice tests on Web.
Rolling, Torque, and Angular Momentum
Rotational Dynamics Chapter 9.
Rolling 滾動, Torque and Angular momentum Rolling is a combination of translation of the center and rotation about the center. Since the rolling distance.
Vector- or Cross-product Torque Angular momentum Angular momentum is conserved!! Chapter 11: Angular Momentum Reading assignment: Chapter 11.1 to 11.4.
Chapter 11: Angular Momentum
Rotational Kinetic Energy Conservation of Angular Momentum Vector Nature of Angular Quantities.
Chapter Eight Rotational Dynamics Rotational Dynamics.
Chapter 8 Rotational Motion of Solid Objects
Physics 218: Mechanics Instructor: Dr. Tatiana Erukhimova Lectures Hw: Chapter 15 problems and exercises.
Physics 106: Mechanics Lecture 06 Wenda Cao NJIT Physics Department.
Torque and the vector product
Physics 218: Mechanics Instructor: Dr. Tatiana Erukhimova Lectures 24, 25 Hw: Chapter 15 problems and exercises.
Physics 218: Mechanics Instructor: Dr. Tatiana Erukhimova Lectures 32, 33, 34 Hw: Chapter 14 problems and exercises.
Chapter 10 More on angular momentum and torque In chapter 9 we described the rotational motion of a rigid body and, based on that, we defined the vector.
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.
Chapter 10 - Rotation In this chapter we will study the rotational motion of rigid bodies about a fixed axis. To describe this type of motion we will introduce.
ROTATIONAL MOTION.
Angular Momentum Angular momentum of rigid bodies
Rotation and angular momentum
Rotational KE, Angular Momentum
Chapter 11 Angular Momentum; General Rotation. Angular Momentum—Objects Rotating About a Fixed Axis Vector Cross Product; Torque as a Vector Angular Momentum.
Angular Momentum of a Particle
Chapter 11 Angular Momentum.
-Angular Momentum of a Rigid Object -Conservation of Angular Momentum AP Physics C Mrs. Coyle.
Angular Momentum Definition: (for a particle)(for a system of particles) Units: compare with: Angular momentum and second Newton's law depends on the choice.
\Rotational Motion. Rotational Inertia and Newton’s Second Law  In linear motion, net force and mass determine the acceleration of an object.  For rotational.
Physics 215 – Fall 2014Lecture Welcome back to Physics 215 Today’s agenda: Angular Momentum Rolling.
Copyright © 2012 Pearson Education Inc. Angular momentum Physics 7C lecture 14 Thursday November 14, 8:00 AM – 9:20 AM Engineering Hall 1200.
Chapters 10, 11 Rotation and angular momentum. Rotation of a rigid body We consider rotational motion of a rigid body about a fixed axis Rigid body rotates.
8.4. Newton’s Second Law for Rotational Motion
Rotational Dynamics and Static Equilibrium (Cont.)
Student is expected to understand the physics of rotating objects.
Chapter 9: Rotational Dynamics
Rolling, Torque, and Angular Momentum
Physics 111 Practice Problem Statements 11 Angular Momentum SJ 8th Ed
Angular Momentum of a rigid object rotating about a fixed axis But for any rigid object the rotational inertia is a constant Newton’s Second Law Analogous.
Rotational motion, Angular displacement, angular velocity, angular acceleration Rotational energy Moment of Inertia Torque Chapter 10:Rotation of a rigid.
A car of mass 1000 kg moves with a speed of 60 m/s on a circular track of radius 110 m. What is the magnitude of its angular momentum (in kg·m 2 /s) relative.
9.4. Newton’s Second Law for Rotational Motion A model airplane on a guideline has a mass m and is flying on a circle of radius r (top view). A net tangential.
Chapter 11. Angular Momentum
Chapter 9 Rotational Dynamics.
Thursday, Oct. 30, 2014PHYS , Fall 2014 Dr. Jaehoon Yu 1 PHYS 1443 – Section 004 Lecture #19 Thursday, Oct. 30, 2014 Dr. Jaehoon Yu Rolling Kinetic.
Rotational motion, Angular displacement, angular velocity, angular acceleration Rotational energy Moment of Inertia (Rotational inertia) Torque For every.
Chapter 9 Rotational Dynamics
Rotational Dynamics 8.3. Newton’s Second Law of Rotation Net positive torque, counterclockwise acceleration. Net negative torque, clockwise acceleration.
Chapter 11 Angular Momentum. The Vector Product and Torque The torque vector lies in a direction perpendicular to the plane formed by the position vector.
Physics 101: Lecture 15, Pg 1 Physics 101: Lecture 15 Angular Momentum Help session Today 9-10AM 144Loomis Exam 3.
Rotational Dynamics The Action of Forces and Torques on Rigid Objects
Rotational Energy Kinetic Energy ( E k ) - The ability to produce change due to an object’s motion. Linear Kinetic EnergyRotational Kinetic Energy.
Angular Momentum. Definition of Angular Momentum First – definition of torque: τ = Frsinθ the direction is either clockwise or counterclockwise a net.
Rotational Motion.
Chapter 11: Rolling Motion, Torque and Angular Momentum
Physics 101: Lecture 15 Angular Momentum
Rotational Motion.
Rotational Dynamics Chapter 9.
Rotational Kinematics
Rotational KE, Angular Momentum
Chapter 10:Rotation of a rigid object about a fixed axis
Q11. Rotational Vectors, Angular Momentum
Chapter 11 Angular Momentum
Presentation transcript:

Rolling motion (axis of rotation is moving) Torque Angular momentum Angular momentum is conserved Chapter 11: Angular Momentum part 2 Reading assignment: review for exam Homework :due Monday, Oct. 24, 2005 (an extra week to do it!) Problems:Q3, 1, 2, 3, 6, 9, 11, 14, 20, 36, 43

Angular momentum of a particle L… _____________________ r… distance from the origin p… momentum of __________ v…velocity of ______________ Definition: L is ____________ to r and p L has magnitude L = ________

Angular momentum of a rotating rigid object We’ll consider an object that is rotating about the _________. The angular momentum of the object is given by: Note that in this case L and  are along the _____________. Also note the analog formula for _________ momentum p = m·v

Black board example 12.3 A light rigid rod, 1 m in length, joins two particles – with masses 3 kg and 4 kg at its end. The system rotates in the x-y plane about a pivot through the center of the rod. Determine the angular momentum of the system about the origin when the speed of each particle is 5.00 m/s.

Conservation of angular momentum The total angular momentum of a system is _____________ in both magnitude and direction if the resultant external torque acting on the system is zero. If the system undergoes an internal __________________ then: If the object is rotating about a _______ axis (say z-axis), then:

________________ laws

Demo A students stands still on a rotatable platform and holds a spinning wheel. The bicycle wheel is spinning in the clockwise direction when viewed from above. He flips the wheel over. What happens?

Student on a turn table. A student stands on a platform that is rotating with an angular speed of 7.5 rad/s, his arms outstretched and he holds a brick in each hand. The rotational inertia of the whole system is 6.0 kg·m 2. The student then pulls the bricks inward thus reducing the rotational inertia to 2.0 kg·m 2. (a)What is the new angular speed of the platform? (b)What is the ratio of the new kinetic energy of the system to the original kinetic energy? (c)What provided the added kinetic energy? Black board example 12.4 HW 39

Feedback: Privacy Policy Feedback
Do Not Sell My Personal Information
About project: SlidePlayer Terms of Service

© 2024 SlidePlayer.com Inc. All rights reserved.