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Q.

All the surfaces shown in the figure are smooth. System is released with the spring unstretched.

            In equilibrium, compression in the spring will be

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a

2mgk

b

mgk

c

M+mg2k

d

mg2k

answer is D.

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Detailed Solution

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Ncosθ=mg;  Nsinθ=kx;  tanθ=kxmg ∴θ=45°⇒kx=mg ∴x=mgk

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