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A sinple harmonic motion is represented ...

A sinple harmonic motion is represented by `(d^2x)/(dt^2)+kx=0`, where k is a constant of the motion. Find its time period.

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Comparing the given equation with the differential equation of linear SHM, viz, `(d^2x)/(dt^2)+omega^2x=0, " we get " omega=sqrtk`. Therefore, the time period of the motion, `T=(2pi)/(omega)=(2pi)/(sqrtk)`.
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