## Related questions with answers

Question

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 5 kg/m.

How much work is required to wind the entire chain onto the cylinder using the winch?

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 2a.

Use formula

$\int_{a}^{b}F(y)dy$

with $0 \leq y \leq 30$ and

$F(y)=(30-y)gp$

where 30-y is length of chain that has to be lifted

$W_1=\int_{0}^{30}pg(30-y)\,dy=pg\cdot 450=22050 \,J$

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