A small 650-gram ball on the end of a thin, light rod is rotated in a horizontal circle

Chapter 8, Problem 29P

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QUESTION:

Problem 29P

A small 650-gram ball on the end of a thin, light rod is rotated in a horizontal circle of radius 1.2 m. Calculate (a) the moment of inertia of the ball about the center of the circle, and (b) the torque needed to keep the ball rotating at constant angular velocity if air resistance exerts a force of 0.020 N on the ball. Ignore the rod’s moment of inertia and air resistance.

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QUESTION:

Problem 29P

A small 650-gram ball on the end of a thin, light rod is rotated in a horizontal circle of radius 1.2 m. Calculate (a) the moment of inertia of the ball about the center of the circle, and (b) the torque needed to keep the ball rotating at constant angular velocity if air resistance exerts a force of 0.020 N on the ball. Ignore the rod’s moment of inertia and air resistance.

ANSWER:

Solution 29P

Step 1 of 2

We are required to determine the moment of inertia.

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