How Does the Monkey's Movement Affect the Box in a Pulley System?

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The discussion centers around the mechanics of a pulley system involving a monkey and two masses. When the monkey with mass m climbs upward at speed u, it affects the movement of the box with mass 2m due to the tension changes in the rope. The upward motion of the monkey and the mass m occurs at the same speed, leading to the conclusion that the mass 2m moves upward at a speed of u/4 relative to the ground. The conversation also touches on the implications of whether the monkey's speed is relative to the rope or the ground, ultimately clarifying that the speeds must be analyzed in relation to the rope. The final consensus is that mass 2m travels upward at a velocity of u/4.
  • #31
haruspex said:
You might as well apply conservation of charge.
Please apply the equations of conservation of charge as they relate to this problem.
 

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