Question

A force $2$ units acts along the line $x-4=y-5.$ The moment of the force about the point $(1,\,\,1)$ along $Z-axis$ is equal to

• A. $0$
• B. $\frac{1}{\sqrt{2}}$
• C. $\sqrt{2}$
• D. $2\sqrt{2}$

Answer 1

Answer: (C)

$\sqrt{2}$

Answer 2

Given equation of line, $x-4=y-5$
$\Rightarrow$ $x-y+1=0$ ..(i)
Now, moment of the force
$=F.d=2\times \frac{1}{\sqrt{2}}$
$=\sqrt{2}$