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Question

A bead 'B' of mass m is attached to one end of a spring(AB) of natural length R and spring constant K= (3+1)mg/R. The normal reaction at B just after it is released to move is:


A

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B

mg

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C

mg

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D

mg

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Solution

The correct option is D

mg


Extension in the spring is

x=ABR=2Rcos 30R

=(31)R

Spring force

F=kx=(3+1)mgR×(31)R = 2mg

From figure N = = (F + mg)cos 30 = x3 mg2


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