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In the given fig., a body of mass ‘M’ is held between two massless springs, on a smooth inclined plane. The free ends of the springs are attached to firm supports. If each spring has spring constant ‘k’, the frequency of oscillation of given body is:

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a

12π2kMg sinα

b

12πk2M

c

12π2kM

d

12πkMg sinα

answer is C.

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Detailed Solution

No effect of inclination of plane on time period or frequency of oscillation.Both springs are in parallel.∴keff=k1+k2=k+k=2k⇒Effective spring constant is 2k ∴f=1T=ω2π=12πkeffM=12π2kM

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In the given fig., a body of mass ‘M’ is held between two massless springs, on a smooth inclined plane. The free ends of the springs are attached to firm supports. If each spring has spring constant ‘k’, the frequency of oscillation of given body is: