Climbing Rope: Physics and Forces on Ceiling

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SUMMARY

The discussion focuses on the physics of climbing a rope with mass, specifically how forces are applied to the ceiling. When a climber ascends a rope with mass, the ceiling must exert a force equal to the force required for a massless rope, plus the gravitational force acting on the rope itself, represented as ##m_{\rm rope} \; g##. This highlights the importance of considering the mass of the rope in calculations of force dynamics during climbing.

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  • Understanding of Newton's laws of motion
  • Familiarity with gravitational force calculations
  • Basic knowledge of tension in ropes
  • Concept of mass and acceleration in physics
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Shardul Khare
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When a perosn is climbing up a rope with mass a ( attached to ceiling) with acceleration a how does the physics work and what forces will be applied on ceiling?
I know when the rope is massless all the force gets transferred ,but now hwat will happen
 
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Let me first propose to use ##m_{\rm rope}## instead of a for the mass of the rope (it isn't wise to use the same symbol for two different things, to put it mildly).

The ceiling has to exert the same force as when the rope is massles, plus the constant force ##m_{\rm rope} \; g##. (the rope does not accelerate or anything)
 

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