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Race of Rollers

The figures s...

Question

The figures show two inclined planes of same height h. However, the lengths of the two planes are l and 2l respectively. what is the ratio of the mechanical advantage of the two planes?

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Solution

M.A. in case of an inclined plane $= \frac{l e n g t h o f t h e p l a n e}{h e i g h t o f t h e p l a n e}$
$∴$ for first plane, M.A. = $\frac{l}{h}$
For second plane, M.A. = $\frac{2 l}{h} / \frac{2}{1} = 2 : 1$

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