Question: 2 . ( 5 0 pt ) Using Hamilton's Principle and Lagranges' equation of motion, obtain the differential equations of motion for an elastic pendulum:

2 . (50

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Using Hamilton's Principle and Lagranges' equation of motion, obtain the differential equations of motion for an "elastic pendulum": a particle of mass m attached to an elastic string of spring constant K and unstretched length l

0 .

Assume that the motion takes place in a vertical plane. Choose polar coordinate. You do not need to solve the equation of motion.

2 . ( 5 0 pt ) Using Hamilton's Principle and

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