Q.

A force of 6.4 N stretches a vertical spring by 0.1 m. The mass (in kg) that must be suspended from the spring so that it oscillates with a period of π/4 sec?

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Detailed Solution

F=kx⇒k=6.40.1=64Nm-1 Time Period, T=2πmkTime period of a loaded spring is given by T⇒π4=2πm64⇒m=1kg
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