Angular Momentum Friday, November 7. Today: Angular Momentum Chapter 9 Section 7.

Slides:



Advertisements
Similar presentations
Angular Quantities Correspondence between linear and rotational quantities:
Advertisements

Physics for Scientists and Engineers, 6e
CHAPTER 8 Momentum & Impulse.  Momentum is a product of mass and velocity  Momentum is a vector (magnitude and direction)  p = m v  Measured in kg.
Chapter 9 Rotational Dynamics. 9.5 Rotational Work and Energy.
More on Angular Momentum P221: November 8, Summary Linear momentumAngular momentum.
Angular Impulse Chapter 13 KINE 3301 Biomechanics of Human Movement.
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.
College and Engineering Physics Quiz 8: Rotational Equations and Center of Mass 1 Rotational Equations and Center of Mass.
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.
The center of mass of a system of masses is the point where the system can be balanced in a uniform gravitational field.
Chapter 10: Rotation. Rotational Variables Radian Measure Angular Displacement Angular Velocity Angular Acceleration.
Rigid Bodies Rigid Body = Extended body that moves as a unit Internal forces maintain body shape Mass Shape (Internal forces keep constant) Volume Center.
Kinematics, Momentum and Energy BU Photon Outreach December 14, 2010.
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.
Physics 1A, Section 2 November 15, Translation / Rotation translational motionrotational motion position x angular position  velocity v = dx/dt.
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 Dynamics. Moment of Inertia The angular acceleration of a rotating rigid body is proportional to the net applied torque:  is inversely proportional.
Impulse, Momentum, and Collisions
Chapter 7 Linear Momentum. Chapter Momentum Linear Momentum- product of mass times velocity p=mvp=momentum units=kg.m/sec Restate Newton’s second.
8.4. Newton’s Second Law for Rotational Motion
AP Rotational Dynamics Lessons 91 and 94.  Matter tends to resist changes in motion ◦ Resistance to a change in velocity is inertia ◦ Resistance to a.
Angular Kinetics After reading this chapter, the student should be able to: Define torque and discuss the characteristics of a torque. State the angular.
Review for Test #3  Responsible for: - Chapters 9 (except 9.8), 10, and 11 (except 11.9) - The spring (6.2, 7.3, ) - Problems worked in class,
© Tony Fagelman 2006 Coach Mechanics. © Tony Fagelman 2006 Take-Off Time is a major factor Take-off is the most important part of any skill Without a.
Ap Physics Week of October 18 th – 22 nd October 18 th : Rotational Motion under Constant Acceleration / Relations between Angular and Linear Quantities.
REVISION MOMENTUM. the product of an object's mass and its velocity a vector quantity with the same direction as the velocity of the object. MOMENTUM.
Biomechanics Part 2.
Angular Momentum and Its Conservation Angular momentum is … L= I  Angular momentum is conserved…The total angular momentum of a rotating body, in a closed.
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.
Angular Momentum 1)What determines how fast an object rotates? 2)Is Angular Momentum conserved?
Chapter 7: Linear Momentum Along with conservation of energy, we will now include other conserved quantities of linear and angular momentum. Linear momentum.
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.
Impulse and Momentum Impulse and momentum stem from Newton’s Second Law: Impulse (FΔt): The product of the force and the time it acts on an object. (N·s)
MOMENTUM l Momentum is a measure of motion =“magnitude of motion”, “impetus”, “impulse” p = m  v rate of change of momentum = force: if no force acts,
We’re on a roll! The Physics of Rotation. Rotational Momentum and Energy Chapter 12.
Announcements Homework: Chapter 7 # 43, 44, 45 & 46 Solutions will be posted Monday afternoon. Exam 2 is next time. Will cover cratering, radioactive decay,
1 Rotation of a Rigid Body Readings: Chapter How can we characterize the acceleration during rotation? - translational acceleration and - angular.
Angular Kinetics of Human Movement
Angular Momentum. Angular Momentum ( L ) Conservation of Momentum The total angular momentum of a rotating object remains constant if the net torque.
Angular Momentum.
Chapter 9 Rotational Dynamics
Rotational Dynamics 8.3. Newton’s Second Law of Rotation Net positive torque, counterclockwise acceleration. Net negative torque, clockwise acceleration.
Goal: To understand angular motions Objectives: 1)To learn about Circular Motions 2)To learn about Rotational Inertia 3)To learn about Torque 4)To examine.
A Physicists Approach to Springboard Diving
Physics 111 Lecture Summaries (Serway 8 th Edition): Lecture 1Chapter 1&3Measurement & Vectors Lecture 2 Chapter 2Motion in 1 Dimension (Kinematics) Lecture.
AP Phys B Test Review Momentum and Energy 4/28/2008.
Chapter 11 Angular Momentum; General Rotation 10-9 Rotational Kinetic Energy 11-2 Vector Cross Product; Torque as a Vector 11-3Angular Momentum of a Particle.
Conservation of angular momentum
Ch 8 : Rotational Motion .
Rotational Kinetic Energy
Special Theory of Relativity
Angular Momentum 7.2.
Rotational Equilibrium and Dynamics
Biomechanics.
Honors Physics 1 Class 12 Fall 2013
Biomechanics moment of inertia
Warmup: A rifle with a mass of 9.0 kg is used to fire a bullet of mass 0.4 kg. The bullet leaves the gun with a speed of 125 m/s. What is the recoil velocity.
Linear Momentum.
Rotational Dynamics Torque and Angular Acceleration
Translational-Rotational Analogues
Student Evaluations.
UNDERSTANDING THE BASIC PRINCIPLES OF ROTATIONAL KINEMATICS
Instructor: Dr. Tatiana Erukhimova
The Physics of Rotation
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,
Translation-Rotation Analogues & Connections
Inertia A property of matter.
Angular Momentum.
Chapter 8 Rotational Equilibrium and Dynamics
For linear motion, we know that Ekin = p2/2m.
Presentation transcript:

Angular Momentum Friday, November 7

Today: Angular Momentum Chapter 9 Section 7

Angular Momentum, L Compare to linear momentum Direction??

Conservation of Angular Momentum What is needed for L to be conserved?

Problem 9.34 Divers change their body position in midair while rotation about their c of m. A diver leaves the board with her body nearly straight, then tucks into a somersault position. If her moment of inertia in the straight position is 14 kgm 2 and in tuck is 4.0 kgm 2 by what factor is her angular velocity when tucked greater than when straight?

Problem 9.34

This week’s Laboratory Experiment

L conserved?

Problem 9.32 What is the angular momentum of a bar rotating at 120 rpm. The bar rotates about its center, has a mass of 500g and is 2 m long.

Problem 9.32

Monday Energy and Work Reading: 10: 1-3 Problems: 9: 30, 32, 34, 35 A closed (isolated) system has a total energy E which is constant, but the form of the energy can change. For example, thermal, kinetic, chemical, … We shall be concerned with the conversion of one kind of energy into another and the exchange of energy with the outside world.