Q.5 A pendulum consists of a mass m and a massless stick of lenght l. The pendulum support ocillates horizontally with a position given by x(t) = Acos(wt). What is the general solution for the angle of the pendulum as a function of time? %3D Q.6 Consider a frictionless horizontal hoop of radius r in which a bead can slide freely. The center of the hoop further travels in a horizontal circle of radius R, about a point with constant angular frequency w. Find the equation of motion for the bead. Also find out the frequency of small oscillations about the equilibrium point.