A disk with moment of inertia I rotates about a fixed shaft and is attached to a torsional...

A disk with moment of inertia I rotates about a fixed shaft and is attached to a torsional spring with constant k. The angle θ measures the angular position of the disk relative to its position when the spring is unstretched. The disk is initially stationary with the spring unstretched. At t = 0. a time-dependent moment M(t) = M0( 1 – e–1) is applied to the disk, where M()is a constant. Show that the angular position of the disk as a function of time is

Strategy: To determine the particular solution, seek a solution of the form

where Ap and Bp are constants that you must determine.