A particle of mass � is attached to one end of a light inext...

Prompt

A particle of mass � is attached to one end of a light inextensible string of length �, the other end being fixed at a point �. The particle is projected horizontally from the lowest point with an initial speed �. During its motion, the string becomes slack at some point, and thereafter the particle moves as a projectile. If the particle passes through the point of suspension �, find the value of the initial speed �.