How to Calculate Force Needed to Support a Man and Platform in Mid-Air?

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SUMMARY

The discussion focuses on calculating the force (F) required for a man to support himself and a platform in mid-air using the equation F=ma. The problem involves a man of mass M and a platform of mass m, including the mass of the pulley. Participants emphasize the necessity of drawing a diagram to visualize the forces at play and correctly apply the principles of tension and normal force in the context of Newton's second law.

PREREQUISITES
  • Understanding of Newton's second law (F=ma)
  • Basic knowledge of tension and normal force concepts
  • Ability to create and interpret free-body diagrams
  • Familiarity with the principles of static equilibrium
NEXT STEPS
  • Study the application of free-body diagrams in physics problems
  • Research static equilibrium conditions for systems in mid-air
  • Learn about tension forces in pulley systems
  • Explore advanced applications of F=ma in various mechanical contexts
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the mechanics of forces in static systems, particularly in scenarios involving pulleys and tension.

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Homework Statement


Find the magnitude F of the force that the man must pull up on the rope, in order to
support himself and the platform at a xed position in mid-air (the rope is attached to a
ceiling above the man). Solve for F for a man of arbitrary mass M, and a platform of
arbitrary mass m (which includes the mass of the pulley).


Homework Equations



F=ma

The Attempt at a Solution



Obviously we should use F=ma and plug tension and normal force somewhere, I have no idea what and where to plug it in though, help!
 
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Drawing a diagram is important. Then one can discuss the problem.
The important point here is to be very carefull to what part of the system F=ma is applied.
 
this kind of problem always has a diagram, please draw it or attach a copy
 

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