Question

obtain differential equation of L.S.H.M​

Answer 1

A mass on a spring can be considered as the simplest kind of Simple Harmonic Oscillator.

With a displacement of x on mass m , the restoring force on the spring is given by Hooke's law, withing the elastic limit,  F=-kx where k is the spring constant.

Newton’s Second law in the x-direction in differential form therefore becomes,

The above equation represents the differential form of SHM .

Here the  spring  force  depends  on  the  distance x,  the  acceleration is  proportional  to the negative of displacement.

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