Question

A $100N$ force makes an angle of $\theta$ with the x-axis and has a y-component of $30N$. Then the x-component of the force is:-

• A. $70N$
• B. $95.39N$
• C. $104.4N$
• D. $0N$

Answer 1

The correct option is B $95.39N$

$\begin{array}{c}{F}_x=F\cos \theta =?\\ F_y=F\sin \theta =30\\ 100\sin \theta =30\\ \sin \theta =\frac{3}{10}\\ \cos \theta =\frac{\sqrt{91}}{10}\\ F_x=F\cos \theta =\frac{100\sqrt{91}}{10}\\ =10\times 9.539\\ =95.39N\end{array}$