| Exam Board | OCR |
|---|---|
| Module | H240/03 (Pure Mathematics and Mechanics) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Topic | Forces, equilibrium and resultants |
| Type | Resultant of coplanar forces |
| Difficulty | Moderate -0.8 This is a straightforward two-force resultant problem requiring basic vector addition using the cosine rule and sine rule. The 120° angle is given explicitly, making it a direct application of standard formulae with no problem-solving insight needed. Easier than average A-level mechanics. |
| Spec | 1.10b Vectors in 3D: i,j,k notation3.03e Resolve forces: two dimensions3.03p Resultant forces: using vectors |
9 Two forces, of magnitudes 2 N and 5 N , act on a particle in the directions shown in the diagram below.\\
\includegraphics[max width=\textwidth, alt={}, center]{ec83c2c5-f8f8-4357-abfa-d40bc1d026b4-07_323_755_548_283}
\begin{enumerate}[label=(\alph*)]
\item Calculate the magnitude of the resultant force on the particle.
\item Calculate the angle between this resultant force and the force of magnitude 5 N .
\end{enumerate}
\hfill \mbox{\textit{OCR H240/03 Q9 [4]}}