1.
\begin{figure}[h]
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\caption{Figure 1}
\includegraphics[alt={},max width=\textwidth]{57a51cfd-7206-4f34-9744-44255789188d-2_467_1094_352_511}
\end{figure}
A particle of weight \(W\) newtons is attached at \(C\) to the ends of two light inextensible strings \(A C\) and \(B C\). The other ends of the strings are attached to two fixed points \(A\) and \(B\) on a horizontal ceiling. The particle hangs in equilibrium with \(A C\) and \(B C\) inclined to the horizontal at \(30 ^ { \circ }\) and \(60 ^ { \circ }\) respectively, as shown in Fig.1. Given the tension in \(A C\) is 50 N , calculate
- the tension in \(B C\), to 3 significant figures,
- the value of \(W\).