Four forces are acting on a bolt as shown in figure.

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

Four forces are acting on a bolt as shown in figure.

\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*}

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