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A and B are two fixed points at ta dista...


A and B are two fixed points at ta distance `3l` apart. A particle of mass `m` placed at a point `P` experiences the force `2((mg)/(l))vecPA` and the force `((mg)/(l))vecPB` simultaneously. Initially at `t=0`, the particle is projected from A towards B with speed `3sqrt(gl)`.
Q. The particle moves simple harmonically with period `T` and amplitude `A`.

A

`A = 2l , T = 2 pi sqrt(l/g)`

B

`A = 3 l, T - 2pi sqrt(l/(2g))`

C

`A = l , T = 2pi sqrt(l/g)`

D

`A = 2l , T = 2pi sqrt((l)/(3g))`

Text Solution

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The correct Answer is:
D
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