Is the block moving in an Atwood machine when climbing up a rope?

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SUMMARY

The discussion centers on the mechanics of an Atwood machine, specifically analyzing whether a block moves when a person climbs a massless rope attached to a frictionless pulley. The key equation referenced is F = ma, which governs the relationship between force, mass, and acceleration. Participants emphasize the importance of clear, typed explanations and proper formatting of solutions, as handwritten notes were deemed inadequate for understanding. A related thread on the same problem was referenced for further discussion.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with Atwood machine mechanics
  • Basic algebra for manipulating equations
  • Knowledge of frictionless systems in physics
NEXT STEPS
  • Review the principles of Atwood machines in physics
  • Learn how to derive equations of motion for systems with pulleys
  • Study the implications of massless ropes and frictionless pulleys
  • Explore the linked thread for additional insights on similar problems
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding the dynamics of pulley systems and Atwood machines.

jk494
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Homework Statement


[/B]

As stated in the included pics, you are climbing up a massless rope on a frictionless pulley, attached to a block equal to your mass which is hanging on the other side. You move a distance d along the rope. Does the block move? If so, how much?

Homework Equations


F = ma

The Attempt at a Solution


My attached work
 

Attachments

  • Screenshot_2018-08-23 Challenge Problems Concept of Force - MIT8_01SC_problems07 pdf.png
    Screenshot_2018-08-23 Challenge Problems Concept of Force - MIT8_01SC_problems07 pdf.png
    19.5 KB · Views: 485
  • Screenshot_2018-08-24 soln pdf.png
    Screenshot_2018-08-24 soln pdf.png
    22.7 KB · Views: 600
  • image1.JPG
    image1.JPG
    71.9 KB · Views: 458
Last edited:
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all of your attached images are too small to be readable
 
phinds said:
all of your attached images are too small to be readable
I replaced them. Are these better?
 
jk494 said:
I replaced them. Are these better?
The first one is now readable. The 2nd one still not. I'm an old guy. Maybe some of our younger members will be able to. Also, you REALLY shouldn't post chicken-scratch handwritten solutions. Typed-in work is the order of the day here.
 
@jk494 as @phinds has said, you need to post your work as equations in the thread. Attached images of handwritten work are not acceptable.
 
jk494 said:
I replaced them. Are these better?
My problem is not the readability but the lack of explanation.
No definition of variables, no text to explain the starting equations in terms of elementary principles or how equations are combined, and the tabular layout robs it of clues as to the logical flow.
 

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