Winding up a chain

A

Aventura

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Sep 15, 2015
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Given: A 30-m- long chain hangs vertically from a cylinder attached to a winch. Assume there is no friction in the system and the chain has a density of 5kg/m.

Question: How much work is required to wind the chain onto the cylinder if a 50kg block is attached to the end of the chain?

- After drawing a sketch I was able to find the work for the 30m chain with density of 5kg/m WITHOUT the 50kg block, by solving this integral Work=integral from 0-30 (x)(9.8m/sec^2)(5kg/m)dx and got 22,050 Joules. Although I am very confused on how to solve this with the 50kg block attached to the end
 
Aventura said:
Given: A 30-m- long chain hangs vertically from a cylinder attached to a winch. Assume there is no friction in the system and the chain has a density of 5kg/m.

Question: How much work is required to wind the chain onto the cylinder if a 50kg block is attached to the end of the chain?

- After drawing a sketch I was able to find the work for the 30m chain with density of 5kg/m WITHOUT the 50kg block, by solving this integral Work=integral from 0-30 (x)(9.8m/sec^2)(5kg/m)dx and got 22,050 Joules. Although I am very confused on how to solve this with the 50kg block attached to the end
Click to expand...

Now assume that the chain is weightless - and you are lifting the block - a total distance of the chain-length.

How much work would you do?

Add this to your previous answer.
 
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