Question

Complete the following sentence:
For an inclined plane of a given height $\text{h}$, to minimize the effort required the length $\text{l}$ of that inclined plane should be :

• A. $\text{less than h}$
• B. $\text{equal to h}$
• C. $\text{more than h}$
• D. $\text{none of these}$

Answer 1

Answer: (C)

$\text{more than h}$

Mechanical Advantage of a inclined plane $=\frac{\text{length}}{\text{vertical height}}$
$\text{M.A.}=\frac{l}{h}$

$\text{Effort}=\frac{\text{Load}}{\text{M.A.}}$

Here we see $\text{M.A.}$ is inversely proportional to $\text{Effort}$, So, greater $\text{M.A.}$ lesser effort.

$\text{M.A.}$ will will be greater when $l$ will be more than $h$

More the length of $l$ less the effort required