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A wagon of mass M can move without frict...

A wagon of mass `M` can move without friction along horizontal rails. A simple pendulum consisting of a sphere of mass `m` is suspended from the ceiling of the wagon by a string of length l. At the initial moment the wagon and the pendulum are at rest and the string is deflected through an angle `alpha` from the vertical. Find the velocity of the wagon when the pendulum passes through its mean position.

A

`m sin((alpha)/(2))sqrt((gl)/((M+m)M))`

B

`m sin((alpha)/(2))sqrt((2gl)/((M+m)M))`

C

`2m sin((alpha)/(2))sqrt((2gl)/((M+m)M))`

D

`2m sin((alpha)/(2))sqrt((gl)/((M+m)M))`

Text Solution

Verified by Experts

The correct Answer is:
D
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