Max Speed & Acceleration for Climbing Rope

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Homework Help Overview

The problem involves a man attempting to climb a rope with a maximum tension limit. The subject area relates to forces, tension, and dynamics in a physics context.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the implications of the rope's tension limit compared to the man's weight, questioning whether climbing is feasible. Some explore the concept of sliding down the rope and the conditions under which that might occur.

Discussion Status

The discussion reveals differing interpretations of the problem, with some participants suggesting that climbing is impossible due to the tension constraints, while others consider alternative motions such as sliding down. No consensus has been reached, but various perspectives are being explored.

Contextual Notes

Participants note that the problem lacks specific information, such as the length of the rope, which complicates the discussion of maximum speed.

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If a man, weighing m1g is tryingting to climb up or down a rope, and the max tension T that the rope can withstand is 2m1g/3, then find the maximum speed and acceleration with which the man can climb without breaking the rope.

My work:
2m1g-m1g=m1a
=>a=-1g/3

doesn't this mean that the rope will break?
 
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Apparrantly the man can not climb this rope. If he weighs w, and the rope can only hold (2/3)w, he can not even hang on to the rope, nevermind climbing it.

He can, however, slide down the rope at a constant acceleration of (1/3)w

BTW, "find the maximum speed" is nonsense for this problem unless the length of the rope is given.
 
He can climb down the rope just by letting go- no tension at all!

As Chi Meson said, if the rope can only support 2/3 of the man's weight, he cannot climb up at all- he can't even hang on.
 
thank you very much!
 

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