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saket_brutus

Hi Vinay,

Say the body is at a distance 'x' from the centre of earth. So,

F= ( GMmx) / R³( force due to a particle inside the sphere at a dist. r from the centre=( GMmr) / R³)

The force mentioned above is towards the centre of the earth. But the +ve X axis is away from the centre of the earth (assumption).

So force becomes= - ( GMmx) / R³

As F

-x, motion is simple harmonic in nature.

If u still have confusions, plz reply.

Cheers.