Question

The sphere of mass m and radius r is rigidly attached to a thin rod of radius r that passes through the sphere at distance 12r from the center. A string wrapped around the rod pulls with tension t.

Answer 1

The expression for the angular acceleration of the sphere will be 20Tr/13MR².

What is angular acceleration?

It should be noted that angular acceleration simply means the time rate of change of the angular velocity.

From the information given, I = (2/5(MR² + M(R/2)² = MR²(2/5 + 1/4) = 13MR²/20

The torque (Q) will be Tr. Therefore, the expression for the angular acceleration of the sphere will be:

= Q/I

= Tr/13MR²/20

= 20Tr/13MR²

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