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A uniform disc of mass $M$ and radius $R$ is mounted on an axle supported on fixed frictionless bearings. A light cord wrapped around the rim is pulled with a force $5 N$ . On the same system of pulley and string, instead of pulling it down, a body of weight $5 N$ is suspended. If the first process is termed $A$ and the second $B$ , the tangential acceleration will be:

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equal in the processes $A$ and $B$

greater in process $A$ than in $B$

greater in process $B$ than in $A$

independent of the two processes

answer is B.

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Detailed Solution

$(A) α = \frac{τ}{I} = \frac{5 R}{I};$ and $a_{t} = α R = \frac{5 R^{2}}{I}$

$(B) α = \frac{τ^{'}}{I} = \frac{T R}{I};$ and ${a^{'}}_{t} = α R = \frac{T R^{2}}{I}$

As $T < 5 N, \Rightarrow {a^{'}}_{t} < a_{t}$

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