Question: Derive the expression for the generalized force and Lagrange's equation of motion of the second kind for the systems: a ) A simple pendulum with

Derive the expression for the generalized force and Lagrange's equation of motion of the second kind for the systems:
a) A simple pendulum with a bob of mass m tied to a support by string of constant length L0.
b) The Atwood's machine consisting of two blocks of wood of masses m1 and m2, respectively, connected by an inextensible string of length I, assuming the radius of the pulley to be zero.
Derive the expression for the generalized force

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