Angular Momentum (l) - Units:

Slides:



Advertisements
Similar presentations
Angular Momentum The Silent Killer. Introduction Angular momentum is sometimes described as the rotational analog of linear momentum.linear momentum Angular.
Advertisements

Angular Quantities Correspondence between linear and rotational quantities:
Chapter 11 Angular Momentum; General Rotation
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.
Chapter 11 Angular Momentum
Mon. March 7th1 PHSX213 class Class stuff –HW6W solution should be graded by Wed. –HW7 should be published soon –Projects ?? ROTATION.
Classical Mechanics Lecture 15
READING QUIZ angular acceleration. angular velocity. angular mass.
Rolling, Torque, and Angular Momentum
Rotational Dynamics Chapter 9.
Vector- or Cross-product Torque Angular momentum Angular momentum is conserved!! Chapter 11: Angular Momentum Reading assignment: Chapter 11.1 to 11.4.
Rotation of a Rigid Object About a Fixed Axis 10 5/25/20151 Hamid
Chapter 11: Angular Momentum
The angular momentum of a rotating wheel points along the axis of rotation.
Chapter 10: Rotation. Rotational Variables Radian Measure Angular Displacement Angular Velocity Angular Acceleration.
Rotational Kinetic Energy Conservation of Angular Momentum Vector Nature of Angular Quantities.
Physics 2211: Lecture 38 Rolling Motion
Particle Impact: Ex Prob 2 (Semi-Oblique) For the impact problem shown below, please determine the velocities of particles A and B after impact. (A and.
Rigid Bodies Rigid Body = Extended body that moves as a unit Internal forces maintain body shape Mass Shape (Internal forces keep constant) Volume Center.
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:
Torque and the vector product
Angular Momentum. Moments  The moment of a vector at a point is the wedge product.  This is applied to physical variables in rotating systems. Applied.
1 Honors Physics 1 Class 14 Fall 2013 The rotating skew rod Rotational Inertia Tensor Stability of spinning objects The spinning top in gravity.
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.
Vector Torque. Direction of Angular Velocity  Angular velocity can be clockwise or counterclockwise around the axis of rotation.  It has magnitude and.
Chapter 11 Angular Momentum; General Rotation 11-2 Vector Cross Product; Torque as a Vector 11-3Angular Momentum of a Particle 11-4 Angular Momentum and.
Angular Momentum of a Particle
Chapter 11 Angular Momentum.
College of Physics Science & Technology YANGZHOU UNIVERSITYCHINA Chapter 11ROTATION 11.1 The Motion of Rigid Bodies Rigid bodies A rigid body is.
Rotation Rotational Variables Angular Vectors Linear and Angular Variables Rotational Kinetic Energy Rotational Inertia Parallel Axis Theorem Newton’s.
Rolling, Torque, and Angular Momentum
PHY221 Ch19/20: Angular Momentum 1.Main Points: Definition Proof dL/dt=  Proof L=I  for a rigid body Conservation of L 2.Examples Person running and.
3-Dimensional Rotation: Gyroscopes
Angular Momentum; General Rotation
Chapter 8 Rotational Motion.
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.
9 rad/s2 7 rad/s2 13 rad/s2 14 rad/s2 16 rad/s2
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
AP Physics C Montwood High School R. Casao. When a wheel moves along a straight track, the center of the wheel moves forward in pure translation. A point.
Experiment 5: Rotational Dynamics and Angular Momentum 8
Chapter 11 Angular Momentum; General Rotation 11-2 Vector Cross Product; Torque as a Vector 11-3Angular Momentum of a Particle 11-4 Angular Momentum and.
Rotation of a Rigid Object About a Fixed Axis 10.
1/15/16Oregon State University PH 212, Class 61 Here are some of the direct analogies between (linear) translational and rotational motion: Quantity or.
Experiment 5: Rotational Dynamics and Angular Momentum 8.01 W10D1 Young and Freedman: ;
Chapter 8 Rotational Motion and Equilibrium. Units of Chapter 8 Rigid Bodies, Translations, and Rotations Torque, Equilibrium, and Stability Rotational.
UNIT 6 Rotational Motion & Angular Momentum Rotational Dynamics, Inertia and Newton’s 2 nd Law for Rotation.
Physics 1D03 - Lecture 351 Review. Physics 1D03 - Lecture 352 Topics to study basic kinematics forces & free-body diagrams circular motion center of mass.
Angular Vectors.
Lecture Rigid Body Dynamics.
College Physics, 7th Edition
PHYS 1443 – Section 003 Lecture #16
Angular Momentum.
Rotational Inertia and Torque
Honors Physics 1 Class 12 Fall 2013
Wednesday: Review session
Chapt. 10 Angular Momentum
Rotational Dynamics Torque and Angular Acceleration
Chapter 11 Rolling, Torque, and Angular Momentum
Physics 111 Practice Problem Solutions 11 Angular Momentum SJ 8th Ed
Chapter 11 Rolling, Torque, and Angular Momentum
Chapter 11 Angular Momentum
Chapter 11 Angular Momentum; General Rotation
10 Angular Momentum The Vector Nature of Rotation
11.7   Angular Momentum Figure shows a particle of mass m with linear momentum as it passes through point A in an xy plane. The angular.
Rotation and Translation
Experiment 5: Rotational Dynamics and Angular Momentum 8.01 W10D1
Angular Momentum 角动量.
CH10 Recitation.
Presentation transcript:

Angular Momentum (l) - Units: Angular Momentum is a vector whose direction is perpendicular to the plane containing r and p given by the right hand rule.

a. the angular momentum of the particle, Out of the page

b. and the torque acting on the particle. Out of the page

2. Two objects are moving as shown 2. Two objects are moving as shown. What is their total angular momentum about point O?

2. Two objects are moving as shown 2. Two objects are moving as shown. What is their total angular momentum about point O? Out of the page

3. What is the angular momentum of a rigid object rotating about a fixed axis? But

Angular Momentum of a rigid object rotating about a fixed axis 3. What is the angular momentum of a rigid object rotating about a fixed axis? But But Angular Momentum of a rigid object rotating about a fixed axis

3. Three particles, each of mass m, are fastened to each other and to a rotation axis by three massless strings, each with length l. The combination rotates around the rotational axis at O with angular velocity ω in such a way that the particles remain in a straight line. In terms of m, l and ω and relative to point O, what are a. the rotational inertia of the combination,

Treat as a separate object 3. Three particles, each of mass m, are fastened to each other and to a rotation axis by three massless strings, each with length l. The combination rotates around the rotational axis at O with angular velocity ω in such a way that the particles remain in a straight line. In terms of m, l and ω and relative to point O, what are b. the angular momentum of the middle particle, 2 methods Treat as a separate object But

3. Three particles, each of mass m, are fastened to each other and to a rotation axis by three massless strings, each with length l. The combination rotates around the rotational axis at O with angular velocity ω in such a way that the particles remain in a straight line. In terms of m, l and ω and relative to point O, what are b. the angular momentum of the middle particle, 2 methods Treat as a rigid object But

3. Three particles, each of mass m, are fastened to each other and to a rotation axis by three massless strings, each with length l. The combination rotates around the rotational axis at O with angular velocity ω in such a way that the particles remain in a straight line. In terms of m, l and ω and relative to point O, what are c. the total angular momentum of the three particles.