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A roofer needs to get a stack of shingles onto a roof. Pulling the shingles up manually uses 1,549 n of force. The roofer decides that it would be easier to use a system of pulleys to raise the shingles. Using the pulleys, 446 n are required to lift the shingles. What is the mechanical advantage of the system of pulleys? Explain your answer

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Answer:

[tex]3.47[/tex]

Explanation:

Mechanical advantage is given by the ratio of output force by input force.

[tex]F_o[/tex] = Output force = [tex]1549\ \text{N}[/tex]

[tex]F_i[/tex] = Input force = [tex]446\ \text{N}[/tex]

So,

[tex]MA=\dfrac{F_o}{F_i}\\\Rightarrow MA=\dfrac{1549}{446}\\\Rightarrow MA=3.47[/tex]

The mechanical advantage of the pulley's is [tex]3.47[/tex].

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