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

Chapter 10: Rotation

Rotational VariablesRadian 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 TheoremLet h be the perpendicular distance between the given axis and a parallel axis through the center of mass. If Icom 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 Ft, 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 2nd 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