Help with a complex pulley problem

AI Thread Summary
The problem involves a system of ideal pulleys where a person pulls strings with force F, and the goal is to express F in terms of mass m and gravitational acceleration g. The forces acting on the system include the weight of the mass (mg) and the tensions in the strings (T1 and T2), which are equal. The equation of motion is established as ƩF=0=-mg+2F+F+F+T1+T2. To solve for F, isolating the pulley associated with T1 and creating a free body diagram is recommended. Understanding these relationships is crucial for determining the required force F.
stonecoldgen
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Homework Statement


The problem is based in the diagram (the jpg attached).

All pulleys are ideal pulleys, and the hanging surface is massless. the problem states that the guy with mass m pulls each string with a force F, and asks to solve the value of F in terms of m and g. Since the pulleys are ideal I know that the forces on the ends are both F, as marked in the diagram, but I don't know what are the values of T1 and T2 (note:T1=T2). If anyone could please help I would appreciate it.

ƩF=0=-mg+2F+F+F+T1+T2
 

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isolate the pulley associated with T1 and draw a free body diagram for it.
 

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