In: Advanced Math
Differential Equations (FREE, UNDAMPED MOTION)
A 12-lb weight is placed upon the lower end of a coil spring suspended from the ceiling. The weight comes to rest in its equilibrium position, thereby stretching the spring 1.5 in. The weight is then pulled down 2 in. Below its equilibrium position and released from rest at t = 0. Find the displacement of the weight as a function of time; determine the amplitude, period, and the frequency of the resulting motion. Assume there is no resistance of the medium and no external forces.