Laws Of Motion Question 86
Question: If two forces of 5 N each are acting along X and Y axes, then the magnitude and direction of resultant is [DCE 2004]
Options:
A) $ 5\sqrt{2},\pi /3 $
B) $ 5\sqrt{2},\pi /4 $
C) $ -5\sqrt{2},\pi /3 $
D) $ -5\sqrt{2},\pi /4 $
Show Answer
Answer:
Correct Answer: B
Solution:
$ |\overrightarrow{F}|=\sqrt{5^{2}+5^{2}}=5\sqrt{2}\ N. $
and $ \tan \theta =\frac{5}{5} $ =1 $ \Rightarrow \theta =\pi /4. $