ROTATIONAL INERTIA AND THE ROTATIONAL SECOND LAW

Slides:

Advertisements

Similar presentations

Angular Quantities Correspondence between linear and rotational quantities:

Advertisements

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.

Integrated Science – 9 Chapter 4

Chapter 9 Rotational Dynamics. 9.5 Rotational Work and Energy.

Angular Impulse Chapter 13 KINE 3301 Biomechanics of Human Movement.

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.

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

Monday, November 3 Review for Exam III Chapters 6, 7, 8(springs only) 9.

14-1 Physics I Class 14 Introduction to Rotational Motion.

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 Inertia.

Rotational Dynamics. Moment of Inertia The angular acceleration of a rotating rigid body is proportional to the net applied torque:  is inversely proportional.

Rotational Kinematics and Energy

Q10. Rotational Motion.

Rotational Dynamics and Static Equilibrium (Cont.)

Torque Calculations with Pulleys

Newton’s 2 nd Law for Rotation Post-Lab Since the graph is linear and contains (0,0) Slope.

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.

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.

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

Unit: NM 8 Topic(s): Rotational Inertia and Torque

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.

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.

Pgs Chapter 8 Rotational Equilibrium and Dynamics.

Rotational Dynamics.

UNIT 6 Rotational Motion & Angular Momentum Rotational Dynamics, Inertia and Newton’s 2 nd Law for Rotation.

Physics Chapter 7 Supplementary Apply rotary motion An object that rotates about an internal axis exhibits rotary motion. Angular displacement (denoted.

Angular Momentum The “inertia of rotation” of rotating objects is called angular momentum (L). This is analogous to “inertia of motion”, which was momentum.

Rotation with Constant Angular Acceleration

AP Physics Review Ch 4 – Forces and Newton’s Laws of Motion

M 97 b b M P a a M 1. Find the moment of inertia around P

Atwood Machines and Multiple Body Systems

Angular Acceleration, α

Causes of Rotation Sum the Torques.

TORQUE Continued….

Angular Momentum Section 10-9.

Angular Momentum 7.2.

Lecture 16 Newton Mechanics Inertial properties,Generalized Coordinates Ruzena Bajcsy EE

This device is called an “Atwood Machine”

A pulley of radius R1 and rotational inertia I1 is

Rotational Inertia and Torque

Physics 13 General Physics 1

Rotational Equilibrium and Dynamics

Aim: How do we apply Newton’s 2nd Law of Rotational Motion?

Momentum principle The change in momentum of a body is equal to the net force acting on the body times (乘) the duration of the interaction.

Compound Body Problems

Rotational Motion AP Physics.

Angular Momentum.

Physics Section 8-5 to 8-6 Rotational Dynamics.

Newton’s 2nd Law for Rotation

Torque A torque (due to a force) causes angular acceleration.

Rotational Dynamics Torque and Angular Acceleration

10.8 Torque Torque is a turning or twisting action on a body about a rotation axis due to a force, . Magnitude of the torque is given by the product.

HW #8 due Thursday, Nov 4 at 11:59 p.m.

Chapter 4 Connected Objects.

Remember Newton’s 2nd Law?

Period 2 Question 1.

Using the “Clicker” If you have a clicker now, and did not do this last time, please enter your ID in your clicker. First, turn on your clicker by sliding.

Chapter 11 Angular Momentum; General Rotation

Rotational Dynamics.

Remember Newton’s 2nd Law?

Aim: How do we apply Newton’s 2nd Law of Rotational Motion?

Rotational Kinematics

Angular Momentum.

Chapter 8 Rotational Equilibrium and Dynamics

CH10 Recitation.

Presentation transcript:

ROTATIONAL INERTIA AND THE ROTATIONAL SECOND LAW

K of a Rotating Object v m the ½ and ω are constant I is the moment of inertia

Moment of Inertia or Rotational Inertia

Some Formulas

Equations

Net Torque = 0 If an object is not rotating (“at rest”) the net torque is zero If an object is rotating at a constant angular speed, the net torque is zero

A pulley has a mass of 2 kg and a radius of 0. 5 m A pulley has a mass of 2 kg and a radius of 0.5 m. A rope is passed over the pulley and tied to a 10 kg mass. What is the tension in the rope on the other side of the pulley if the pulley doesn’t move?

I Rotational “Second Law” If the net torque is not zero then the object will experience an angular acceleration. I

A pulley has a mass of 2 kg and a radius of 0. 5 m A pulley has a mass of 2 kg and a radius of 0.5 m. A rope is passed over the pulley with a tension of 98 N on one side. What is the tension in the rope on the other side of the pulley if the pulley has an acceleration of 1 rad/s2?

Atwood Machine

Problem Mass = 3.0 kg Radius = 0.25 m Mass = 5.0 kg Mass = 10.0 kg What is the acceleration of the 10.0 kg mass? Mass = 5.0 kg Mass = 10.0 kg