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

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Presentation transcript:

Rotational Dynamics 8.3

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

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

Momentum Objects also resist change in their rotational motion. Rotating objects have inertia, and have a momentum assoc. with rotation. Unit: kgm 2 /s

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. AB L A = L B I  = I  Animation:

Kinetic Energy Rotating objects have KE associated with their angular speed. Unit: J Animation:

Mechanical Energy is Conserved

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

Answer to Sample Problem 8D: 0.24 rad/s Answers to Even Problems for Practice 8D: 2.) 24 rad/s 4.) 9.1 x 10 2 m/s

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