| Exam Board | OCR |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2010 |
| Session | June |
| Marks | 9 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Forces, equilibrium and resultants |
| Type | Bearing and compass direction problems |
| Difficulty | Moderate -0.3 This is a straightforward vector resolution problem requiring students to resolve forces into components along given directions and find the resultant. While it involves multiple steps and bearing conversions, the techniques are standard M1 material with no novel problem-solving required. The 'show that' in part (i) provides confirmation of correct working, making it slightly easier than average. |
| Spec | 3.03p Resultant forces: using vectors |
3\\
\includegraphics[max width=\textwidth, alt={}, center]{4b703cf9-b3d3-4210-b57b-89136595f8a5-02_570_495_1114_826}
Three horizontal forces of magnitudes $12 \mathrm {~N} , 5 \mathrm {~N}$, and 9 N act along bearings $000 ^ { \circ } , 150 ^ { \circ }$ and $270 ^ { \circ }$ respectively (see diagram).\\
(i) Show that the component of the resultant of the three forces along bearing $270 ^ { \circ }$ has magnitude 6.5 N .\\
(ii) Find the component of the resultant of the three forces along bearing $000 ^ { \circ }$.\\
(iii) Hence find the magnitude and bearing of the resultant of the three forces.
\hfill \mbox{\textit{OCR M1 2010 Q3 [9]}}