[QUE/CM-02034]

A mass \(m\) is suspended by a massless spring of spring constant \(k\) and unstretched length \(b\). The suspension point is pulled upwards with constant acceleration \(a_0\). Gravity acts vertically downwards. Find the Lagrangian and Hamitlonian function and write Hamliton's equations of motion. Find also the period of motion.