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Question

# The springs shown in the figure are all unstretched in the beginning when a man starts pulling the block. The man exerts a constant force F on the block. Find the amplitude and the frequency of the motion of the block.

A

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B

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C

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D

None of these

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Solution

## The correct option is C Spring k2 and k3 are in series their combination, say k4 would be k4=k2k3k2+k3 now k4 and k1 are in parallel k5=k1+k4=k1+k2k3k2+k3 =k1k2+k2k3+k1k3k2+k3 f=12π√km=12π√k1k2+k2k3+k1k3M(k2+k3) now mean position, F=k5x x=F(k2+k3)k1k2+k2k3+k1k3 that would be the amplitude of new motion

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