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A cord is wrapped on a pulley (disk) of ...

A cord is wrapped on a pulley (disk) of mass M and radius R as shown in figure. To one end of the cord, a block of mass M is connected as shown and to other end in (a) a force of 2 Mg and in (b) a block of mass 2 M. Let angular acceleration of the disk in (a) and (b) is `alpha_(A) and alpha_(B)` respectively, then (cord is not slipping on the pulley)

A

2

B

3

C

`sqrt(2)`

D

`sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Net torque about 0 should be zero, Hence,
`mg(1/2 sin 60^(@)) = Mg(1/2 sin 30^(@)) therefore M/m = (sin 60^(@))/(sin 30^(@)) = sqrt(3)`
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