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A uniform disc of mass M and radius R is...

A uniform disc of mass `M` and radius `R` is released from the shown position . `PQ` is s tring , `OP` is a horizontal line , `O` is the centre of the disc and distance `OP` is `R//2`. The tension in the string just after the disc is released will be `:`

A

`(Mg)/(2)`

B

`(Mg)/(3)`

C

`(2Mg)/(3)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
`(C )`
Applying Newton's law on the centre of mass `O`
`Mg-T=ma {a=` acceleration of centre of mass `}`
`tau = I alpha`, about centre of mass
`T=(R)/(2)=(MR^(2))/(2).alpha`
Also `a=(R)/(2)alpha` from above equations `T=(2mg)/(3)`
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