rotational dynamics 8.3. newton’s second law of rotation net positive torque, counterclockwise...

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Rotational Dynamics 8.3

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

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Page 1: Rotational Dynamics 8.3. Newton’s Second Law of Rotation Net positive torque, counterclockwise acceleration. Net negative torque, clockwise acceleration

Rotational Dynamics

8.3

Page 2: Rotational Dynamics 8.3. Newton’s Second Law of Rotation Net positive torque, counterclockwise acceleration. Net negative torque, clockwise acceleration
Page 3: Rotational Dynamics 8.3. Newton’s Second Law of Rotation Net positive torque, counterclockwise acceleration. Net negative torque, clockwise acceleration

Newton’s Second Law of Rotation

Net positive torque, counterclockwise acceleration.Net negative torque, clockwise acceleration.

Page 4: 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.

Page 5: Rotational Dynamics 8.3. Newton’s Second Law of Rotation Net positive torque, counterclockwise acceleration. Net negative torque, clockwise acceleration
Page 6: Rotational Dynamics 8.3. Newton’s Second Law of Rotation Net positive torque, counterclockwise acceleration. Net negative torque, clockwise acceleration

MomentumObjects also resist change in their rotational motion.Rotating objects have inertia, and have a momentum assoc. with rotation.

Unit: kg•m2/s

Page 7: Rotational Dynamics 8.3. Newton’s Second Law of Rotation Net positive torque, counterclockwise acceleration. Net negative torque, clockwise acceleration
Page 8: Rotational Dynamics 8.3. Newton’s Second Law of Rotation Net positive torque, counterclockwise acceleration. Net negative torque, clockwise acceleration

Angular momentum is conservedWhen no net torque is acting on an object or objects, angular momentum is conserved – law of conservation of angular momentum.

A B

LA = LB

I = I Animation: http://my.hrw.com/sh/hf2/0030724864/student/ch08/sec03/qc04/hf208_03_q04fs.htm

Page 9: Rotational Dynamics 8.3. Newton’s Second Law of Rotation Net positive torque, counterclockwise acceleration. Net negative torque, clockwise acceleration

Kinetic EnergyRotating 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

Page 10: Rotational Dynamics 8.3. Newton’s Second Law of Rotation Net positive torque, counterclockwise acceleration. Net negative torque, clockwise acceleration
Page 11: Rotational Dynamics 8.3. Newton’s Second Law of Rotation Net positive torque, counterclockwise acceleration. Net negative torque, clockwise acceleration

Mechanical Energy is Conserved

Page 12: Rotational Dynamics 8.3. Newton’s Second Law of Rotation Net positive torque, counterclockwise acceleration. Net negative torque, clockwise acceleration

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

Page 13: Rotational Dynamics 8.3. Newton’s Second Law of Rotation Net positive torque, counterclockwise acceleration. Net negative torque, clockwise acceleration

Answer to Sample Problem 8D: 0.24 rad/sAnswers to Even Problems for Practice 8D:2.) 24 rad/s4.) 9.1 x 102 m/s

Page 14: Rotational Dynamics 8.3. Newton’s Second Law of Rotation Net positive torque, counterclockwise acceleration. Net negative torque, clockwise acceleration

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