question_answer

If two forces of 5 N each are acting along X and Y axes, then the magnitude and direction of resultant is [DCE 2004]

A)             \[5\sqrt{2},\,\,\pi /3\]

B)               \[5\sqrt{2},\,\,\pi /4\]

C)             \[-5\sqrt{2},\,\,\pi /3\]

D)               \[-5\sqrt{2},\,\,\pi /4\]

Correct Answer: B

Solution :

                \[|\overrightarrow{F}|=\sqrt{{{5}^{2}}+{{5}^{2}}}=5\sqrt{2}\ N.\] and \[\tan \theta =\frac{5}{5}\]=1   \[\Rightarrow \theta =\pi /4.\]