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A uniform disc of radius R and mass M is...

A uniform disc of radius R and mass M is free to rotate about a fixed horizontal axis perpendicular to its plane and passing through its centre. A string is wrapped over its rim and a block of mass m is attached to the free end of the string. The block is released from rest. If string does not slip on the rim then find the acceleration of the block. Neglect the mass of the string.

Text Solution

AI Generated Solution

To solve the problem, we need to analyze the forces acting on the block and the torque acting on the disc. Here’s a step-by-step solution: ### Step 1: Identify the forces acting on the block When the block of mass \( m \) is released, two forces act on it: - The gravitational force \( mg \) acting downward. - The tension \( T \) in the string acting upward. ### Step 2: Write the equation of motion for the block ...
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