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A spool of mass M and radius 2R lies on ...

A spool of mass `M` and radius `2R` lies on an inclined plane as shown in the figure. A light thread is wound around the connecting tube of the spool and its free end carries a weight of mass `m`. The value of `m` so that system is in equilibrium is

A

`2M sin theta`

B

`M sin alpha`

C

`2M tan alpha`

D

`M cos alpha`

Text Solution

Verified by Experts

The correct Answer is:
A
Equilibrium of a m gives
T =mg (T = tension in string)
Net torque about point of contact of spool should be zero. Hence,
`(2R M g sin alpha) = TR` or `2Mg sin alpha` or `m=2M sin alpha`
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