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

In summary, to find the magnitude of force needed to support a man and platform in mid-air, we can use the equation F=ma and consider tension and normal force. Drawing a diagram is important for visualizing the problem and applying F=ma correctly.
  • #1
wuffle
26
0

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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  • #2
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.
 
  • #3
this kind of problem always has a diagram, please draw it or attach a copy
 

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

1. What is tension force?

Tension force is the force that is transmitted through a string, rope, cable, or wire when it is pulled tight by forces acting from opposite ends. It is a pulling force that acts along the length of the object.

2. How is tension force different from normal force?

Normal force is the force that acts perpendicularly to the surface of an object, preventing it from sinking into the surface. Tension force, on the other hand, acts parallel to the surface of an object, pulling it in opposite directions.

3. What factors influence the magnitude of tension force?

The magnitude of tension force is influenced by the weight of the object, the angle at which the force is applied, and the strength and elasticity of the string, rope, cable, or wire.

4. How is tension force used in everyday life?

Tension force is used in many everyday objects and activities, such as ziplines, suspension bridges, bungee jumping, elevators, and even in simple tasks like tying a knot or pulling a wagon.

5. What happens to tension force when there is an increase in weight?

When there is an increase in weight, the tension force also increases in order to balance out the forces acting on the object. However, if the weight is too heavy, the tension force may exceed the strength of the string, rope, cable, or wire, causing it to break.

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