(a) Derive the Lagrange equation of motion and its solution for a simple pendulum consisting of a small bob of mass m and inextensible string of length l. Also find and sketch the total energy of such simple harmonic oscillator for the positive displacement only.
(a) Derive the Lagrange equation of motion and its solution for a simple pendulum consisting of a small bob of mass m and inextensible string of length l. Also find and sketch the total energy of such simple harmonic oscillator for the positive displacement only.
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