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A uniform sphere of weight W and radius ...

A uniform sphere of weight `W` and radius 3 `m` is being held by a frictionless wall as shown in the figure. The tension in the string will be (length of the string is 2m):

A

`(5w)/(4)`

B

`(15w)/(4)`

C

`(15w)/(16)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A


FBD of sphere:
`w=Tsintheta`
and `costheta=(3)/(5)impliestheta=53^@`
`impliesT=(w)/(sin53^@)=(5w)/(4)`
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