Q.

On a smooth inclined plane, a body of mass M is attached between two springs. The other ends of the springs are fixed to firm supports. If each spring has force constant K, the period of oscillation of the body (assuming the springs as massless) is

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a

2πM2K1/2

b

2π2MK1/2

c

2πMgsinθ2K

d

2π2MgK1/2

answer is A.

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Detailed Solution

Slope is irrelevant hence  T=2πM2K1/2
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On a smooth inclined plane, a body of mass M is attached between two springs. The other ends of the springs are fixed to firm supports. If each spring has force constant K, the period of oscillation of the body (assuming the springs as massless) is