Chapter 10: Rotation. Rotational Variables Radian Measure Angular Displacement Angular Velocity Angular Acceleration.

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Presentation transcript:

Chapter 10: Rotation

Rotational Variables Radian Measure Angular Displacement Angular Velocity Angular Acceleration

Constant Angular Acceleration Are angular quantities vectors? Equations of motion for constant angular acceleration.

Kinetic Energy of Rotation (rotational inertia) (kinetic energy) System of Particles Solid Body

Rotational Inertia

Parallel-Axis Theorem Let h be the perpendicular distance between the given axis and a parallel axis through the center of mass. If I com is the rotational inertia of the body about the parallel axis that extends through the body’s center of mass, then the rotational inertia I about the given axis is

Torque Line of Action Moment Arm The ability of a force F to rotate a body depends not only on its tangential component F t, but also on just how far from the pivot point the force is applied. The unit of the torque  is Nm! Do no use J!

Newton’s 2 nd Law for Rotation Radian measure Proof

Work and Rotational Kinetic Energy Work–kinetic energy theorem Work, rotation about fixed axis Work, constant torque Power, rotation about fixed axis

Sample Problems 10-8, 10-10, 10-11

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