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A block of mass m, connected to two springs of spring constants k1 and k2 as shown, oscillates on a smooth horizontal surface. What is the effective spring constant of the oscillation? -

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Question

A block of mass m, connected to two springs of spring constants k1 and k2 as shown, oscillates on a smooth horizontal surface. What is the effective spring constant of the oscillation?

Short Note

Solution

The springs are in parallel. F = − k1x − k2x = − (k1 + k2)x Therefore, the effective spring constant of the oscillation = k1 + k2.

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Amplitude (A), Period (T) and Frequency (N) of S.H.M.
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