Question
A particle moving along the $X-$axis executes simple harmonic motion, then the force acting on it is given by

Where $A$ and $K$ are positive constants

Answer

(a) For $S.H.M.$ $F = - kx.$
 Force = Mass $×$ Acceleration $\propto -x$
==> $F = -Akx;$ where $A$ and $k$ are positive constants.

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