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A force of 5kgf is required to cut a metal sheet. A pair of shears used for cutting the metal sheet has its blades 5 cm long, while its handles are 10 cm long. What effort is needed to cut the sheet?

Machines

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Answer

Given,

Load arm = 5 cm

Effort arm = 10 cm

Mechanical advantage M.A.=Effort armLoad armM.A.=105M.A.=2\text{Mechanical advantage M.A.} = \dfrac{\text{Effort arm}}{\text{Load arm}} \\[0.5em] M.A. = \dfrac{10}{5} \\[0.5em] \Rightarrow M.A. = 2 \\[0.5em]

We also know that,

Effort=LoadM.A.\text{Effort} = \dfrac{Load}{M.A.} \\[0.5em]

Substituting the values in the formula we get,

Effort=52Effort=2.5 kgf\text{Effort} = \dfrac{5}{2} \\[0.5em] \Rightarrow \text{Effort} = \text {2.5 kgf}

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