Work to be performed by a pulley

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The discussion revolves around calculating the work needed to lift a block using a pulley system with a sphere and spring. The initial conditions state that the system is at rest, and the goal is to determine the downward force required to lift the block off the ground. Participants suggest using the principles of equilibrium and Hooke's law to analyze the forces involved, particularly focusing on the tension in the strings connected to the weights. The conversation emphasizes the need to calculate the changes in tension necessary to initiate movement and the corresponding work done on the spring. Overall, the analysis aims to clarify the relationship between force, tension, and work in the context of the pulley system.
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Hello,
I have a doubt in this exercise because it does not relate the forces work to be done.

"The system shown is at rest. Determine the amount of work must be developed to apply a downward vertical force on the sphere, so that the block come off the floor."

http://s2.subirimagenes.com/imagen/previo/thump_7853867fisica1.png
thump_7853867fisica1.png


Sphere;

F + P - T = ma

Block;

F_E - P = ma

How should raise it?

Thanks
 
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inverse said:
Hello,
I have a doubt in this exercise because it does not relate the forces work to be done.

"The system shown is at rest. Determine the amount of work must be developed to apply a downward vertical force on the sphere, so that the block come off the floor."

http://s2.subirimagenes.com/imagen/previo/thump_7853867fisica1.png
thump_7853867fisica1.png


Sphere;

F + P - T = ma

Block;

F_E - P = ma

How should raise it?

Thanks

The link is not working for me...
 
so it looks like you could reduce this problem by symmetry to simply lifting a 2kg weight off the ground with a spring attached to the string you're using.

Given that the weight is 2kg you can determine the downward force you must overcome and given the spring K you can use hooks law to determine the upward force as you raise the string. When they are balanced the weight should lift off the ground.

Does that sound right?
 
If the system is initially at equilibrium, and the pulley's are frictionless, what is the tension on the string that connects the 2 kg weight to the top of the spring? What is the tension on the string connecting the bottom of the spring to the 4kg mass? How much does the tension in the string connecting the 2 kg mass to the top of the spring have to increase to just begin lifting the 4 lb mass? What will the tension on the string connecting the bottom of the spring to the 4 kg mass have to increase to? For that increase in the tensions, how much will the spring have to stretch? How much work does it take the stretch the spring this amount?
 
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