| Exam Board | OCR MEI |
|---|---|
| Module | AS Paper 1 (AS Paper 1) |
| Year | 2018 |
| Session | June |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Forces, equilibrium and resultants |
| Type | Forces in vector form: equilibrium (find unknowns) |
| Difficulty | Moderate -0.8 This is a straightforward equilibrium problem requiring only the basic principle that forces sum to zero in both i and j components. Students simply set up two linear equations (8 + 2a = 0 and -3a + b = 0) and solve for a and b. It's more routine than average, involving direct application of a single concept with minimal steps. |
| Spec | 1.10a Vectors in 2D: i,j notation and column vectors3.03b Newton's first law: equilibrium |
I don't see any mark scheme content in your message to clean up. You've provided the question number "Question 3: 3" but there's no actual marking scheme text with symbols, annotations (M1, A1, etc.), or guidance notes to convert and format.
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- Keep any guidance notes3 A particle is in equilibrium under the action of three forces in newtons given by
$$\mathbf { F } _ { 1 } = \binom { 8 } { 0 } , \quad \mathbf { F } _ { 2 } = \binom { 2 a } { - 3 a } \quad \text { and } \quad \mathbf { F } _ { 3 } = \binom { 0 } { b } .$$
Find the values of the constants $a$ and $b$.
\hfill \mbox{\textit{OCR MEI AS Paper 1 2018 Q3 [3]}}