Another way to derive the pendulum equation (12) is based on the principle of
Chapter 1, Problem 23(choose chapter or problem)
Another way to derive the pendulum equation (12) is based on the principle of conservation of energy. a. Show that the kinetic energy T of the pendulum in motion is T = 1 2 mL2_d dt _2 . b. Show that the potential energy V of the pendulum, relative to its rest position, is V = 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 to equation (12).
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