Solved: Simple Force Problem: 80KG Man Exerts 20N

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An 80 kg man is lowering himself on a 20 kg platform using a massless cable over two pulleys, with a downward acceleration of 0.2 m/s². The force exerted by the man on the cable, ignoring gravity, is calculated as 20 N. However, when considering gravity's effect, which exerts a force of 9.8 N, the calculations change significantly. The correct approach involves accounting for the tension in the cable, leading to a force of 320 N due to the configuration of the pulleys. The discussion also touches on the limitations of posting images in the forum.
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Homework Statement


An 80 KG man is standing on the platform of mass 20 KG is lowering him self down using a massless cable passing over two pullies. If his downward acceleration is .2 M/S^2, find force exerted by the man on the cable.


Homework Equations


I thought it was a simple
F=M*A


The Attempt at a Solution


F= (100 Kg) * (.2 m/s^2)
F= 20 N
 
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That is correct, provided gravity is ignored.

If you do not intend to ignore gravity, remember that gravity exerts a force of 9.8 N (g) at the surface of the Earth.
 
I am and idot, thanks for the gravity tip also ther is a diagram I did not provide taht is very important, just out of curiosity do you put pictures on here using HTML type.

Calculation is
-980 + 3t=100kg*.2
3t=-20+980
t=320 N
The reason it is 3t is because the diagram shows the rope connecting the celling and the platform/man 3 times with the two pullys)
 
Slayergnome said:
I am and idot, thanks for the gravity tip also ther is a diagram I did not provide taht is very important, just out of curiosity do you put pictures on here using HTML type.

Calculation is
-980 + 3t=100kg*.2
3t=-20+980
t=320 N
The reason it is 3t is because the diagram shows the rope connecting the celling and the platform/man 3 times with the two pullys)

I believe HTML is disabled, although you could upload the image and use IMG tags, I believe.
 
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