A particle P of mass m is attached to one end of a light elastic string of natural length a and modulus of elasticity 3mg.
The other end of the string is attached to a fixed point O on a ceiling.
The particle hangs freely in equilibrium at a distance d vertically below O.
Show that .
The point A is vertically below O such that .
The particle is held at rest at A, then released and first comes to instantaneous rest at the point B.
Find, in terms of g, the acceleration of P immediately after it is released from rest.
Find, in terms of g and a, the maximum speed attained by P as it moves from A to B.
Find, in terms of a, the distance OB.
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