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

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Presentation on theme: "Chapter 10: Rotation. Rotational Variables Radian Measure Angular Displacement Angular Velocity Angular Acceleration."— Presentation transcript:

1 Chapter 10: Rotation

2 Rotational Variables Radian Measure Angular Displacement Angular Velocity Angular Acceleration

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

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

5 Rotational Inertia

6 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

7 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!

8 Newton’s 2 nd Law for Rotation Radian measure Proof

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

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


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