A spring of negligible mass, suspended vertically from one end, is streched a distance of 20cm when a 5g mass is attached to the other end.The spring and maas are placed on a horizontal frictionless table, with the suspension point fixed.The mass is pulled away a distance 20cm beyond the equilibrium position 0 and released. Find:
(a)The differential equation and initial conditions describing the motion.
(b)The position at any time t.
(c)The amplitude, period and frequency of the vibration.