(a) For the elastically supported pendulum on a vertically moving base shown in Figure 7.16 derive the governing equation of motion …rst using d’Alembert’s principle, and then directly using...

(a) For the elastically supported pendulum on a vertically moving base shown in Figure 7.16 derive the governing equation of motion …rst using d’Alembert’s principle, and then directly using Lagrange’s equation. Discuss the e¤ect of base motion and show that it is equivalent to a force on mass m equal to kA sin !t. (b) Repeat the problem where viscous damping exists due to the motion of the mass through the surrounding medium. Assume a damping constant denoted by c.