Angular Momentum.

Slides:

Advertisements

Similar presentations

Angular Quantities Correspondence between linear and rotational quantities:

Advertisements

Chapter 9 Momentum and Its Conservation

PHYSICS UNIT 4: ENERGY & MOMENTUM

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.

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.

Rotation Quiz 1 Average =73.83 A,B28.71 Standard Deviation =13.56 D,F,W31.68.

Angular Impulse Chapter 13 KINE 3301 Biomechanics of Human Movement.

Torque and Rotational Equilibrium Chapter 8. Torque Rotational equivalent of force Rotational equivalent of force Force isn’t enough to provide a rotation.

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.

Rotational Dynamics Chapter 9.

College and Engineering Physics Quiz 8: Rotational Equations and Center of Mass 1 Rotational Equations and Center of Mass.

D. Roberts PHYS 121 University of Maryland Physic² 121: Phundament°ls of Phy²ics I December 11, 2006.

Chapter 12: Rolling, Torque and Angular Momentum.

Physics 111: Elementary Mechanics – Lecture 11 Carsten Denker NJIT Physics Department Center for Solar–Terrestrial Research.

EGR 280 Mechanics 18 – Impulse and Momentum of Rigid Bodies.

1/23/ L IAP 2006  Last Lecture  Energy and Momentum of rotation  Today  More about Momentum of rotation  Important Concepts  Equations for.

Kinematics, Momentum and Energy BU Photon Outreach December 14, 2010.

Torque and the vector product

PH 201 Dr. Cecilia Vogel Lecture 20. REVIEW  Constant angular acceleration equations  Rotational Motion  torque OUTLINE  moment of inertia  angular.

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.

Rotational Equilibrium and Dynamics Rotational Inertia and Angular Momentum.

8.4. Newton’s Second Law for Rotational Motion

Chapter 9: Rotational Dynamics

Chapter C14 Conservation of angular momentum Problem S.2 Due Wednesday.

Angular Momentum Section 9.7.

Rotational Motion Chapter 6, 8 and 9. Acceleration in a Circle  Acceleration occurs when velocity changes  This means either speed OR direction changes.

Rotational Dynamics Chapter 8 Section 3.

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.

9.4. 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,

Momentum What is momentum? ~ Newton’s Quality of Motion Use the 2 nd Law…F = ma to describe how momentum can change when a force acts on it. F=ma m ∆v.

Rotational Motion Part 3 By: Heather Britton. Rotational Motion Rotational kinetic energy - the energy an object possesses by rotating Like other forms.

Rotational Motion. 6-1 Angular Position, Velocity, & Acceleration.

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

NM Unit 8 Topic(s): Angular Momentum Learning Goals: Adapt linear collision analysis for rotational collision analysis Develop a solution strategy to solve.

Chapter 7.2 Notes Angular Momentum.

Angular Momentum. Angular Momentum ( L ) Conservation of Momentum The total angular momentum of a rotating object remains constant if the net torque.

Unit 5 Notes Torque. τ = r x F Or for those who may not know cross-products, τ = rF sin (Ө) τ (tau) stands for torque. It is equal to the radius from.

Static Equilibrium Physics 150/250 Center of Mass Types of Motion

Chapter 9 Rotational Dynamics

Rotational Dynamics 8.3. Newton’s Second Law of Rotation Net positive torque, counterclockwise acceleration. Net negative torque, clockwise acceleration.

Rolling, torque, and angular momentum

Energy Revisited. Types of Energy Kinetic energy: Energy due to motion of the center of mass of an object. Potential energy: Energy due to the position.

Angular Momentum Chapter 11. Definition of Angular Momentum First – definition of torque: τ = Frsinθ the direction is either clockwise or counterclockwise.

Momentum and Its Conservation Chapter 9. Properties of a System Up until now, we have looked at the forces, motion and properties of single isolated objects.

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 Dynamics.

AP Physics 1 Exam Review Session 3

AP Physics Review Rotational Motion.

Angular Momentum 7.2.

Angular momentum has the same SI units as momentum.

Rotational Inertia and Torque

Rotational Equilibrium and Dynamics

Angular Momentum.

Chapter 10:Dynamics of Rotational Motion

Aim: How do we explain the conservation of angular momentum?

HW #9 due Tuesday, November 16, 11:59 p.m.

Rotational Motion NCEA AS 3.4 Text Chapter: 4.

Sect. 11.4: Conservation of Angular Momentum

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.

ROTATIONAL INERTIA AND THE ROTATIONAL SECOND LAW

Conservation of Momentum

Formative Assessment.

Rotational Kinematics

Chapter 8 Rotational Equilibrium and Dynamics

Presentation transcript:

Angular Momentum

Equation

Conservation of Angular Momentum If the net outside torque on a system is zero then the angular momentum of the system is conserved.

Example http://hyperphysics.phy-astr.gsu.edu/hbase/rstoo.html#sm

https://www.youtube.com/watch?v=iaauRiRX4do

Another Example https://www.youtube.com/watch?v=fwAjPOR28J0

Yet Another Example https://www.youtube.com/watch?v=l2VuosSk9zU

Yet Another Example, The Sequel https://www.youtube.com/watch?v=07H5pIUXLhU

Problem A turntable (I = 3.6 kgm2) is rotating at 6 rad/s when a 1 kg piece of clay is dropped onto it at a distance of 1 m from the center. What is the angular speed of the turntable after the clay is dropped on it?

Torque and Impulse Any change in angular momentum is caused by a torque. The impulse is the change in angular momentum and can be found by using:

Angular and Linear Momentum for Point Masses Linear momentum and angular momentum for point masses (or an object rotating about a point external to the object) are related by a factor of r, just like other linear and angular quantities.

Torque and Work

Work