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Problem 3. A pendulum is formed by suspending a mass m from the ceiling, using a spring of unstretched length lo and spring constant k. 3.1. Using r and 0 as generalized coordinates, show that m (i² + r²0² ) + mgr cos 0 k (r – lo)² L = 3.2. Write down the explicit equations of motion for your generalized coordinates.

Problem 3. A pendulum is formed by suspending a mass m from the ceiling, using a spring of unstretched length lo and spring constant k. 3.1. Using r and 0 as generalized coordinates, show that m (i² + r²0² ) + mgr cos 0 k (r – lo)² L = 3.2. Write down the explicit equations of motion for your generalized coordinates.

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Problem 3. A pendulum is formed by suspending a mass m from the ceiling, using a spring of unstretched length lo and spring constant k. 3.1. Using r and 0 as generalized coordinates, show that 1 L = = 5m (i² + r²0?) + mgr cos 0 – z* (r – lo)² 3.2. Write down the explicit equations of motion for your generalized coordinates.
Transcribed Image Text:Problem 3. A pendulum is formed by suspending a mass m from the ceiling, using a spring of unstretched length lo and spring constant k. 3.1. Using r and 0 as generalized coordinates, show that 1 L = = 5m (i² + r²0?) + mgr cos 0 – z* (r – lo)² 3.2. Write down the explicit equations of motion for your generalized coordinates.
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