Determining Force applied so mass will stay at rest

AI Thread Summary
To keep a mass of 12.5 kg at rest, a force must counteract its weight, calculated as 122.5 N using the formula W = mg. Participants suggest drawing a free body diagram of the pulley above the mass to analyze the forces involved. The tension in the rope must equal the weight of the mass for it to remain stationary. Understanding the equilibrium of forces acting on the pulley is crucial to solving the problem. Proper analysis will reveal the necessary force to maintain the mass at rest.
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A weight of mass 12.5 Kg hangs from very light pulleys as shown in fig. What force must be applied to the rope so that the mass stays at rest.

M=12.5 Kg
W=mg
a=g=9/8 m/s^2


M=12.5 Kg
W = mg = 12.5 x 9.8 = 122.5 N
I've done this much but I have no clue what to do now. Can someone please help me out?
 

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the figure doesn't show, therefore i am unable to help u, if u want u can send it to my email so i can try it. its [email address deleted by moderator]
 
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Can you find the tension in each part of the rope and relate it to the weight you have calculated? Hint: Draw a free body diagram of the pulley that is directly over the hanging mass. If that pulley is at rest, what must be true about the forces acting on it?
 
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