OCR M1 Specimen — Question 2

Exam BoardOCR
ModuleM1 (Mechanics 1)
SessionSpecimen
TopicNewton's laws and connected particles

2 \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{463347e9-b850-4f4a-b2d2-423cf142e30f-2_166_518_824_351} \captionsetup{labelformat=empty} \caption{Fig. 1}
\end{figure} \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{463347e9-b850-4f4a-b2d2-423cf142e30f-2_168_755_822_1043} \captionsetup{labelformat=empty} \caption{Fig. 2}
\end{figure} Forces of magnitudes 8 N and 5 N act on a particle. The angle between the directions of the two forces is \(30 ^ { \circ }\), as shown in Fig. 1. The resultant of the two forces has magnitude \(R \mathrm {~N}\) and acts at an angle \(\theta ^ { \circ }\) to the force of magnitude 8 N , as shown in Fig. 2. Find \(R\) and \(\theta\).