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Rotational Dynamics

Rotational Dynamics. 8.3. Net positive torque, counterclockwise acceleration. Net negative torque, clockwise acceleration. Newton’s Second Law of Rotation. When net torque is zero: Object rotates at constant velocity, Or if object at rest, object does not rotate. Momentum.

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Rotational Dynamics

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  1. Rotational Dynamics 8.3

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

  3. When net torque is zero: • Object rotates at constant velocity, • Or if object at rest, object does not rotate.

  4. Momentum • Objects also resist change in their rotational motion. • Rotating objects have inertia, and have a momentum assoc. with rotation. Unit: kg•m2/s

  5. Angular momentum is conserved • When no net torque is acting on an object or objects, angular momentum is conserved – law of conservation of angular momentum. A B LA = LBI =I Animation: http://my.hrw.com/sh/hf2/0030724864/student/ch08/sec03/qc04/hf208_03_q04fs.htm

  6. Kinetic Energy • Rotating objects have KE associated with their angular speed. Unit: J Animation: http://my.hrw.com/sh/hf2/0030724864/student/ch08/sec03/qc05/hf208_03_q05fs.htm

  7. Mechanical Energy is Conserved

  8. Answer to Sample Problem 8C: 13 N•m Answers to Problem #2 for Practice 8C: 2.) –8.1 N•m

  9. Answer to Sample Problem 8D: 0.24 rad/s Answers to Even Problems for Practice 8D: 2.) 24 rad/s 4.) 9.1 x 102 m/s

  10. Answer to Sample Problem 8E: 5.29 m/s Answer to Problem #2 from Practice 8E: 2.) 12.0 m/s

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