Problem 3 (40 points): A mass M is free to slide along a frictionless rail. A pendulum of length I and mass m hangs from
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Problem 3 (40 points): A mass M is free to slide along a frictionless rail. A pendulum of length I and mass m hangs from
Problem 3 (40 points): A mass M is free to slide along a frictionless rail. A pendulum of length I and mass m hangs from M as shown in the figure below. (a) Find the Lagrangian of the system (10 points). (b) Find the equations of motion (10 points). For small oscillations, find the normal modes and their frequencies (20 points) M 1 m
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