A mass m hangs with the help of a string wrapped around a pulley on a frictionless bearing. The pulley has mass m and radius R . Assuming pulley to be a perfect uniform circular disc, the acceleration

Question

A mass m hangs with the help of a string wrapped around a pulley on a frictionless bearing. The pulley has mass m and radius R . Assuming pulley to be a perfect uniform circular disc, the acceleration of the mass m , if the string does not slip on the pulley, is

TestHub · Accepted Answer

​ M g − T = M a …… ( 1 ) T × R = I α = 2 1 ​ M 2 α T = 2 1 ​ M a ( a = α R ) …… ( 2 ) ​ From (1) and (2) a = 3 2 g ​

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