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Two uniform solid cylinders A and B each...

Two uniform solid cylinders A and B each of mass 1 kg are connected by a spring of constant `200Nm^(-1)` at their axles and are placed on a fixed wedge as shown in fig.There is no friction between cylinders and wedge. The angle made by the line AB with the horizontal, in equilibirum is

A

`0^(@)`

B

`15^(@)`

C

`30^(@)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
In equlibrium, if `theta` is the required angle
Cylinder A:
`mg sin 60^(@)=kx cos (60^(@)-theta)`
Cylinder B:
`mg sin 30^(@) = kx cos (30^(@)+theta)`
`=kx sin (60^(@)-theta)` on solving `theta=30^(@)`.
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