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

`2Msinalpha`

`Msinalpha`

`2Mtanalpha`

`Mtanalpha`

Text Solution

Verified by Experts

The correct Answer is:

Equlibrium of `m` gives
`T=m(LT=` tension in string)
Net torque about point of contact of spool should be zero.
Hence `(2R)(Mgsinalpha)=TR`
or `2Mgsinalpha=mg`
or `m=2msinalpha`

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