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A mas m hangs with help of a string wrap...

A mas m hangs with help of a string wraped around a pulley on a frictionless bearling. 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:

A

`3g//2`

B

g

C

`2g//3`

D

`g//3`

Text Solution

Verified by Experts

The correct Answer is:
C
The free body diagram of pully and mass is as shown for block:
mg-T = ma ……….(i)
For pulley, `tau_("axis") = I_("axis")alpha`
`therefore TR =(mR^(2))/2 a/R`
`rArr T=(ma)/2`…………..(ii)
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