Rotation of a Rigid Object About a Fixed Axis 10

10.1 Angular Displacement, Velocity, and Acceleration10.2 Rotational Kinematics: Rotational Motion with Constant Angular Acceleration10.3 Angular and Linear Quantities10.4 Rotational Energy10.5 Calculation of Moments of Inertia10.6 Torque10.7 Relationship Between Torque and Angular Acceleration10.8 Work, Power, and Energy in Rotational Motion

A rigid object is one that is nondeformable—that is, it is an object in which the separations between all pairs of particles remain constant. In this chapter, we treat the rotation of a rigid object about a fixed axis, which is commonly referred to as pure rotational motion.

10.1 Angular Displacement, Velocity, and Acceleration one radian is the angle subtended by an arc length equal to the radius of the arc.

10.1 Angular Displacement, Velocity, and Acceleration When rotating about a fixed axis, every particle on a rigid object rotates through the same angle and has the same angular speed and the same angular acceleration.

10.2 Rotational Kinematics: Rotational Motion with Constant Angular Acceleration

EXAMPLE : Rotating Wheel

Solution

10.2 Rotational Kinematics: Rotational Motion with Constant Angular Acceleration

EXAMPLE : CD Player

Solution

10.4 Rotational Energy

EXAMPLE : The Oxygen Molecule

Solution

EXAMPLE : Four Rotating Masses

Solution

10.5 Calculation of Moments of Inertia

EXAMPLE : Uniform Hoop

Solution

EXAMPLE : Uniform Rigid Rod

Solution

EXAMPLE : Uniform Solid Cylinder

Solution

10.6 Torque

10.7 Relationship Between Torque and Angular Acceleration

10.8 Work, Power, and Energy in Rotational Motion