What is constant in S.H.M.? | vedclass

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(D) In $S.H.M.$ (Simple Harmonic Motion),the restoring force is proportional to the displacement $(F = -kx)$,so it varies with position.Kinetic energy

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Periodic time

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(D) In $S.H.M.$ (Simple Harmonic Motion),the restoring force is proportional to the displacement $(F = -kx)$,so it varies with position.Kinetic energy $(K = \frac{1}{2}mv^2)$ and potential energy $(U = \frac{1}{2}kx^2)$ change continuously as the particle moves.The total mechanical energy $(E = K + U)$ remains constant.However,the periodic time $(T = 2\pi\sqrt{\frac{m}{k}})$ depends only on the mass of the particle and the force constant,both of which are intrinsic properties of the system.Therefore,the periodic time is the quantity that remains constant for a given $S.H.M.$ system.

What is constant in $S.H.M.$?

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