## Four forces are acting on a bolt as shown in figure. Determine the magnitude and direction of the resultant force.

\begin{equation*}

\theta=\tan^{-1}(\frac{2}{3})=33.63^{\circ}\\

\sum Fx = 200cos33.63 + 250 + 300cos30\\

= 676.218 KN

\end{equation*}

\begin{equation*}

\sum Fy = 100 – 300sin30 +200sin33.63\\

= 60.76 KN

\end{equation*}

\begin{equation*}

R=\sqrt{\sum Fx^2 + \sum Fy^2}\\

R=\sqrt{676.218^2 + 60.76^2}\\

R=679.4KN

\end{equation*}

\begin{equation*}

\theta_1=\tan^{-1}(\frac{\sum Fy}{\sum Fx})\\

\theta_1=5.14

\end{equation*}