1. happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com

2. Ch 10 Dynamics of Rotational Motion © 2005 Pearson Education

3. 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

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

5. Torque: © 2005 Pearson Education

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

8. 10.2 torque and Angular Acceleration for a Rigid Body Only this has z- component of torque about O © 2005 Pearson Education

9. 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

11. 10.3 Rigid-Body Rotation about a Moving Axis rigid body with both translation and rotation © 2005 Pearson Education

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

13. Combined Translation and Rotation: Dynamics © 2005 Pearson Education

14. 10.4 work and Power in Rotational Motion © 2005 Pearson Education

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

16. 10.5 Angular Momentum angular momentum of a particle © 2005 Pearson Education

18. for any system of particles © 2005 Pearson Education

20. 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

22. 10.7 Gyroscopes and Precession © 2005 Pearson Education

25. Precession angular speed © 2005 Pearson Education

26. Summary

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