| Exam Board | OCR |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2005 |
| Session | January |
| Marks | 9 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Forces, equilibrium and resultants |
| Type | Resultant of coplanar forces |
| Difficulty | Moderate -0.8 This is a straightforward mechanics question requiring resolution of forces into components using basic trigonometry, followed by finding magnitude and direction of the resultant. It's a standard textbook exercise with clear diagram and routine method, making it easier than average for A-level, though not trivial since it requires careful angle work and Pythagoras/tan calculations. |
| Spec | 3.03p Resultant forces: using vectors |
3\\
\includegraphics[max width=\textwidth, alt={}, center]{5b10afa1-1c45-4370-a0e6-ad8fd626df9a-3_638_839_269_653}
Three coplanar forces of magnitudes $5 \mathrm {~N} , 8 \mathrm {~N}$ and 8 N act at the origin $O$ of rectangular coordinate axes. The directions of the forces are as shown in the diagram.\\
(i) Find the component of the resultant of the three forces in
\begin{enumerate}[label=(\alph*)]
\item the $x$-direction,
\item the $y$-direction.\\
(ii) Find the magnitude and direction of the resultant.
\end{enumerate}
\hfill \mbox{\textit{OCR M1 2005 Q3 [9]}}