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1. Use Hamilton's equation of motion to derive the equation of motion of the Atwood's Machine shown in figure 1. Assume the pulley to

1. Use Hamilton's equation of motion to derive the equation of motion of the Atwood's Machine shown in figure 1. Assume the pulley to be without friction and the rope to be inextensible. Also that the diameter of the pulley is much less than the length of the rope l. [10] 1-Y y m m

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