How Do You Calculate the Upward Force on a Uniform Rope Being Lifted?

AI Thread Summary
To calculate the upward force on a uniform rope being lifted, first identify the mass of the rope segment being lifted, which is 0.100 kg per meter. When the top end of the rope is 0.560 m above the ground, the total mass of the lifted segment is 0.056 kg. A free body diagram should be drawn to visualize the forces acting on the rope, including the gravitational force and the unknown upward force. Using Newton's laws for objects moving at constant speed, the upward force can be calculated by balancing these forces. Understanding these principles is crucial for solving the problem effectively.
ajmCane22
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Homework Statement


A long, uniform rope with a mass of 0.100 kg per meter lies on the ground. You grab one end of the rope and lift it at the constant rate of 1.20 m/s.


Homework Equations


Center of mass?
[SIGMA]mx/M


The Attempt at a Solution


I honestly have no idea where to even begin. There is no example like this in the book, and my professor didn't give any example like this. I thought maybe I would need to (m1x1 + m2x2 + ...)/(m1 + m2 + ...), but then the upward force part is really confusing me.

Am I even on the right track? Help is greatly appreciated.
 
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Are you trying to find the force needed to do that?
Well, P = W/t = (Fd)/t = Fv
Is probably a useful equation but I don't know what the question is?
 
I forgot the question part, sorry!

"Calculate the upward force you must exert at the moment when the top end of the rope is 0.560 m above the ground."
 
ajmCane22 said:
I forgot the question part, sorry!

"Calculate the upward force you must exert at the moment when the top end of the rope is 0.560 m above the ground."
Draw a free body diagram of the 0.560 m rope and identify the forces acting on it, both known and unknown, and solve for the unknown upward force using Newton's law for objects moving at constant speed.
 
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