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

AI Thread Summary
To calculate the force needed to support a man and a platform in mid-air, the equation F=ma is essential, where F is the force, m is the mass, and a is the acceleration. The problem requires careful consideration of the forces acting on the system, including tension and normal force. A diagram is crucial for visualizing the forces at play and understanding how to apply F=ma correctly. The solution involves determining the appropriate mass values for both the man and the platform. Overall, a systematic approach with clear diagrams will aid in solving the problem effectively.
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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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