In: Advanced Math
A 6 lb weight is placed upon the lower end of a coil spring
suspended from a fixed beam. The weight comes to rest in its
equilibrium position, thereby stretching the spring 4 inches.
Then
beginning at t = 0 an external force given by F (t) = 27 sin(4t) −
3 cos(4t) is applied to the system. The resistance of the medium is
three times the velocity (in ft/sec). Find the displacement of the
weight as a function of time.