Integrals of a Spherical Pendulum A spherical pendulum with mass m and length l is shown in Figure 2.60. The angles ? and θ may be used to describe the coordinates of the system.
(a) Show that the angular momentum of the pendulum about the Z-axis is conserved.
(b) Determine the mechanical energy E = K + V of the pendulum.
(c) Use the energy and angular momentum equations to determine ?? and θ?.
