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In the diagram given below all surfaces ...

In the diagram given below all surfaces are frictionless. What horizontal force has to be applied on wedge such that in equilibium steady state spring is compressed by
`(mg sin theta)/k`?

A

`2 mg tan theta`

B

`2mg sin theta`

C

`4mg tan theta`

D

`2mg tan theta`

Text Solution

Verified by Experts

The correct Answer is:
C
Applying Newton's law among incline

`kx+mg sin theta=ma cos theta`
`2mg sin theta =F/2 cos theta, 4 mg tan theta =F`
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