Question

A mass m is hung by a cord wrapped over a pulley on bearing. Mass of pulley is m and its radius is R. Assume that pulley is a uniform circular disc. If the cord does not slip on the pulley then the acceleration of the mass will be:

(a) \(\frac{3g}{2}\)

(b) g

(c) \(\frac{2g}{3}\)

(d) \(\frac{g}{3}\)

Answer 1

Correct option is : (C) \(\frac{2g}{3}\)

For the motion of the block

mg - T = ma ........(1)

For rotation of pulley,

\(\tau = T.R = I\alpha\)

Thus option (c) is correct.