Another way to derive the pendulum equation (12) is based on the principle
Chapter 1, Problem 30(choose chapter or problem)
Another way to derive the pendulum equation (12) is based on the principle ofconservation of energy.(a) Show that the kinetic energy T of the pendulum in motion isT = 12mL2ddt 2.(b) Show that the potential energy V of the pendulum, relative to its rest position, isV = mgL(1 cos ).(c) By the principle of conservation of energy, the total energy E = T + V is constant.Calculate dE/dt, set it equal to zero, and show that the resulting equation reduces toEq. (12).
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