
Vektor |
Arah X |
Arah Y |
a |
5 |
3 |
b |
−4 |
5 |
c |
−3 |
−2 |
d |
4 |
−3 |
|
\(\sum X = 2\) |
\(\sum Y= 3\) |
\begin{equation*}
\begin{split}
\overrightarrow{R} & = 2 \: i + 3 \: j \\\\
|R| & = \sqrt{(\Sigma F_x)^2 + (\Sigma F_x)^2} \\\\
|R| & = \sqrt{(2)^2 + (3)^2} \\\\
|R| & = \sqrt{13}
\end{split}
\end{equation*}
\begin{equation*}
\begin{split}
\tan \theta & = \frac{\Sigma F_y}{\Sigma F_x} \\\\
\tan \theta & = \frac{3}{2} \\\\
\theta & = \tan^{-1} \left(\frac{3}{2}\right) \\\\
\theta & = 56^{\text{o}}
\end{split}
\end{equation*}