| Exam Board | Edexcel |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2003 |
| Session | June |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Motion on a slope |
| Type | Horizontal force on slope |
| Difficulty | Standard +0.3 This is a standard M1 equilibrium problem requiring resolution of forces parallel and perpendicular to an inclined plane with a horizontal force. While it involves multiple force components and friction at limiting equilibrium, it follows a routine method taught in all M1 courses with no novel insight required. The tan α = 3/4 setup is standard. Slightly easier than average due to being a straightforward application of a well-practiced technique. |
| Spec | 3.03e Resolve forces: two dimensions3.03m Equilibrium: sum of resolved forces = 03.03t Coefficient of friction: F <= mu*R model3.03u Static equilibrium: on rough surfaces |
4.
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\caption{Figure 2}
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A parcel of mass 5 kg lies on a rough plane inclined at an angle $\alpha$ to the horizontal, where $\tan \alpha = \frac { 3 } { 4 }$. The parcel is held in equilibrium by the action of a horizontal force of magnitude 20 N , as shown in Fig. 2. The force acts in a vertical plane through a line of greatest slope of the plane. The parcel is on the point of sliding down the plane. Find the coefficient of friction between the parcel and the plane.\\
(8)\\
\hfill \mbox{\textit{Edexcel M1 2003 Q4 [8]}}