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

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