Q.4 Consider a particle of mass m attached to a fixed point by a massless string or rod of length I. The particle is free to swing in any direction under the action of gravity. Since the particle is constrained to move on the inner surface of a sphere, this system is called a spherical pendulum. Find its differential equations of motion. Q.5 A pendulum consists of a mass m and a massless stick of lenght I. The pendulum support oscillates horizontally with a position given by r(t) = Acos(wt). What is the general solution for the angle of the pendulum as a function of time? %3D