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Ch 10 Dynamics of Rotational Motion © 2005 Pearson Education

10.1 Torque The quantitative measure of the tendency of a force to cause or change the rotation motion of a body is called torque © 2005 Pearson Education

Counter-clockwise torques are positive and clockwise are negative © 2005 Pearson Education

Torque: © 2005 Pearson Education

magnitude of torque definition of torque vector Torque must be perpendicular to the plane of the vector r and F © 2005 Pearson Education

10.2 torque and Angular Acceleration for a Rigid Body Only this has z- component of torque about O © 2005 Pearson Education

Newton ’ s second law for the tangential component is Multiplying both sides by r1 Rotational analog of Newton’s second law for a rigid body © 2005 Pearson Education

10.3 Rigid-Body Rotation about a Moving Axis rigid body with both translation and rotation © 2005 Pearson Education

condition for rolling without slipping Rolling without slipping © 2005 Pearson Education

Combined Translation and Rotation: Dynamics © 2005 Pearson Education

10.4 work and Power in Rotational Motion © 2005 Pearson Education

work done by a torque work done by a constant torque Total work done on the rotating rigid body Power © 2005 Pearson Education

10.5 Angular Momentum angular momentum of a particle © 2005 Pearson Education

for any system of particles © 2005 Pearson Education

10.6 Conservation of Angular Momentum If the net external torque acting on a system is zero, the total angular momentum of the system is constant (conserved) © 2005 Pearson Education

10.7 Gyroscopes and Precession © 2005 Pearson Education

Precession angular speed © 2005 Pearson Education

Summary

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