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. $



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