Question

When effort is applied parallel to an inclined frictionless plane making an angle with the horizontal the mechanical advantage of the system is.

Answer 1

The input work is equal to output work If surface is frictionless. In this case work done by effort is equal to work done by load

$F\times AC=W\times BC$

$\frac{W}{F}=\frac{AC}{BC}$

$\frac{BC}{AC}=sin\theta$

$\frac{W}{F}=\frac{1}{sin\theta }$

Mechanical advantage=$\frac{W}{F}=\frac{1}{sin\theta }=cosec\theta$