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A chain of length L and mass density ¾is held such that it hangs vertically just above a scale. It is then released. What is the reading on the scale, as a function of the height of the top of the chain?

debesh kumar , 14 Years ago
Grade
anser 2 Answers
Arun Kumar

Last Activity: 10 Years ago

Hello

Well most probably it will depend linearly with respect to length of the chain.
But a graphic explanation of the problem could have been led to a specific solution.
Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty

Kaviraj

Last Activity: 6 Years ago

Well , the question is one with variable mass, so either you can write the equation of F =dp/dt or solve it in parts,(k is the density)
SOLUTION:
 
Let height be x at a certain instant ,
Writing the equation,
F-kgL  = kax+kv2
here a will be equal to g as it is freefall and v will the velocity that comes from energy conservation of the top part of the chain.
Solving we get F = 3kg(L-x) =9kg(L-x)/4

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