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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 tention in the string will be:

A

`5 w//4`

B

`15 w//4`

C

`15 w//16`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
From geometry

`cos theta = (3)/(5) rArr sin theta = (4)/(5)`
As sphere is at equilibrium,
`T sin theta = w`
`rArr T ((4)/(5)) =w`
`T = (5w)/(4)`
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