Question #315442

An inclined plane is 100 m long and at an angle of 20 degrees to the





horizontal. The AMA of the slope is two. Calculate:





a) the effort required to push a 72 underline C N block up the slope b) the ideal mechanical advantage c) the efficiency of the slope.

1
Expert's answer
2022-03-22T11:00:37-0400

Explanations & Calculation


  • Mechanical advantage of an incline is

MA=mgF\qquad\qquad \begin{aligned} \small MA&=\small \frac{mg}{F}\\ \end{aligned}

  • Using this,

Factual=72N2=36NIMA=mgmgsinθ=1sinθ=1sin20=2.9(>AMA)\qquad\qquad \begin{aligned} \small F_{actual}&=\small \frac{72\,N}{2}=36\,N\\ \\ \small IMA&=\small \frac{mg}{mg\sin\theta}=\frac{1}{\sin\theta}=\frac{1}{\sin20}\\ &=\small 2.9(>AMA) \end{aligned}



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