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

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SUMMARY

The discussion centers on the dynamics of a pulley system involving a monkey with mass m and a box with mass 2m. When the monkey moves upwards with speed u, it affects the motion of the box due to the tension in the rope. The consensus is that the box (2m) moves upward at a speed of u/4 relative to the ground, as the monkey's speed is relative to the rope. The analysis incorporates Newton's laws and conservation of momentum, concluding that both the monkey and the box experience the same acceleration during the monkey's upward motion.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with pulley systems and tension forces
  • Basic knowledge of conservation of momentum
  • Ability to analyze motion in different reference frames
NEXT STEPS
  • Study the dynamics of pulley systems in detail
  • Learn about conservation of energy in mechanical systems
  • Explore advanced topics in Lagrangian mechanics
  • Investigate the effects of varying mass and acceleration in pulley problems
USEFUL FOR

Physics students, educators, and anyone interested in mechanics, particularly those studying dynamics and pulley systems.

  • #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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