Monkey or Weight: Which Will Reach the Top First?

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The discussion centers on a physics problem involving a monkey and a weight on a pulley system. Given that both the monkey and the weight are of equal mass, and assuming a lossless rope and pulley, the monkey cannot reach the top first. The key factors include the momentary increase in tension when the monkey pulls on the rope and the principle that the center of mass of the system remains constant due to the absence of external forces.

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A rope hangs over a pulley. On one side a weight is tied. The weight is resting on ground when a monkey of equal weight starts climbing up the other side of the rope. Will the monkey reach the top first or the weight? Assume the rope and pulley to be lossless and the rope weightless.
 
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Well, what's your guess, and why?

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Consider 2 things:
1) when the monkey pulls on the rope he momentarily increases the
tension in the rope.

2) since no external forces act on the system of monkey and weight
the center of mass of the two cannot be raised or lowered.
 

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