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A particle of mass 'm' moves on a horizo...

A particle of mass `'m'` moves on a horizont smooth line `AB` of length `'a'` such that when particle is at any general point `P` on the line two force act on it. A force `(mg(AP))/(a)` towards `A` and another force `2(mg(BP))/(a)` towards `B`.
Find its time period when released from rest from mid-point of line `AB`.

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