Edexcel A-Level Mathematics A2 M3.3.3 Oscillations Attached to Elastic Strings or Springs Topic Practice

The fixed point A is vertically above the fixed point B, with A B=3 l

A light elastic string has natural length l and modulus of elasticity 4 m g One end of the string is attached to A and the other end is attached to a particle P of mass m

A second light elastic string also has natural length l and modulus of elasticity 4 m g One end of this string is attached to P and the other end is attached to B.

Initially P rests in equilibrium at the point E, where AEB is a vertical straight line.

Find, in terms of g and l, the speed of P when it is $\frac{1}{8} l$ below E.