In: Math
A 12-lb weight is placed upon the lower end of a suspended spring. The weight comes to rest in its equilibrium position, stretching the spring by 1.5 inches. The weight is then pushed upward 2 inches above the equilibrium and released at t=0 with an initial velocity downward of 2ft/sec. Assume there is no damping caused by an external force
a) Find the displacement of the weight function x(t) as a function of time, b) Determine the amplitude, period, and the frequency of the resulting motion.