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A massless stick of length L is hinged a...

A massless stick of length L is hinged at one end and a mass m attached to its other end. The stick is free to rotate in vertical plane about a fixed horizontal axis passing through frictionless hinge. The stick is held in a horizontal position. At what distance x from the hinge should a second mass M = m be attached to the stick, so that stick falls as fast as possible when released from rest

A

`sqrt(2)L`

B

`sqrt(3)L`

C

`(sqrt(2)-1)L`

D

`(sqrt(3)-1)L`

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