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Variation of G Due to the Rotation of Earth

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Question

The position x of a particle moving along x-axis varies with time t as x=Again(ωt) where A and ω are positive constants. The acceleration of a particle varies with its position (x) as

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Solution

Given that x=Asin(wt).

now if we differentiate wrt time .
DX/dt=wAcos(wt).
again differentiate.
d2x/dt2=-w^Asin(wt)..here d2x/dt2=acceleration....

put value of x.
a=-w^2x...where w is constant

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