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A block of mass 5 kg executes simple har...

A block of mass 5 kg executes simple harmonic motion under the restoring force of a spring. The amplitude and the time period of the motion are 0.1 m and 3.14 s respectively. Fnd the maximum force exerted by the spring on the block.

Text Solution

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The maximum force exerted on the block is kA when the block is at the extreme position.
The angular frequency `omega=(2pi)/T=2s^-1`
The spring constant `=k=momega^2`
`=(5kg)(4s^-2)=20Nm^-1`
maximum force `=kA=(20Nm^-1)(0.1m)=2N`
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