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Two small sphere each of mass m connecte...

Two small sphere each of mass `m` connected by a string of length 2l are kept on a smooth horizontal surface. A vertical force `F` is applied at the middle of the string. What is maximum value of `F` for which the sphere do not lose contact with the surface?

A

2mg

B

mg

C

`(3mg)/(2)`

D

4mg

Text Solution

Verified by Experts

The correct Answer is:
A
`F=2Tsintheta`
`Tsintheta+N=mg`
`N=mg-Tsintheta`
For no contact:
`Ngt0`
implies `mg-Tsinthetagt0`
implies `mg-(F)/(2)gt0` implies `Flt2mg`
So `F_(max)=2mg`
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