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Question

# Consider a 20-foot chain that weighs 3 pounds per foot hanging from a winch 20 feet above ground level. Find the work done by the winch in winding up the specified amount of chain. Wind up the entire chain.

Solution

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$\textrm{\textbf{First, we need to state the equations we will need in this example}}$

$\Huge \color{#c34632} \boxed{W = \int _a ^b x\; dF \; } \Rightarrow (1)$

$\Huge \color{#c34632} \boxed{dF = W_{per\; feet} \; dy} \Rightarrow (2)$

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