If two forces of 5 N each are acting along X and Y axes, the... | PHYSICS - EQUILIBRIUM OF PARTICLE | SolveeIt | Solveeit

Today, August 19

Question

If two forces of 5 N each are acting along X and Y axes, then the magnitude and direction of resultant is

A

$5\sqrt{2},\pi/3$

B

$5\sqrt{2},\pi/4$

C

$- 5\sqrt{2},\pi/3$

D

$- 5\sqrt{2},\pi/4$

Answer

$5\sqrt{2},\pi/4$

Explanation

Solution

$|\overset{\rightarrow}{F}| = \sqrt{5^{2} + 5^{2}} = 5\sqrt{2}\mspace{6mu} N.$ and $\tan\theta = \frac{5}{5}$ =1

$\Rightarrow \theta = \pi/4.$