3. An elastic string of natural length (a + b) where a > b modulus of elasticity 2 has a
particle of mass m attached to it at a distance a from one end, which is fixed to a
point A of a smooth horizontal plane. The other end of the string is fixed to a point
B so that the string is just unstretched. If the particle be helf at B and then released,
show that it will oscillate to and fro through a distance b(a + b)/ Va in a
periodic time n (Ja +Vb) V[(m/X)].
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