JEE Advanced Model Paper 10 with solutions for online practice

A platform is attached to the ground by an ideal spring of constant k. Both the spring and the platform have negligible mass. Mass of the man standing on ground is m1 = 72 kg. A large lump of clay of mass m2 = 12.5 kg is kept onthe platform. Man gently steps onto the platform and platform settles down to a new equilibrium position, a vertical distance, D = 0.5 m below the original position. Assume that man never losses contact with platform. Man slowly picks up the lump of clayand hold it at a height h above the platform. Upon releasing the clay, the platform will oscillate up and down.