| Exam Board | Edexcel |
|---|---|
| Module | M1 (Mechanics 1) |
| Session | Specimen |
| Marks | 13 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Forces, equilibrium and resultants |
| Type | Connected particles on inclined plane |
| Difficulty | Standard +0.3 This is a standard M1 connected particles problem on an inclined plane with friction. It requires resolving forces, applying Newton's second law to both particles, and using F=μR, but follows a well-established method with no novel insight needed. The given acceleration simplifies the calculation significantly. |
| Spec | 3.03k Connected particles: pulleys and equilibrium3.03m Equilibrium: sum of resolved forces = 03.03v Motion on rough surface: including inclined planes |
\includegraphics{figure_4}
A particle of mass $m$ rests on a rough plane inclined at an angle $\alpha$ to the horizontal, where $\tan \alpha = \frac{3}{4}$. The particle is attached to one end of a light inextensible string which lies in a line of greatest slope of the plane and passes over a small light smooth pulley $P$ fixed at the top of the plane. The other end of the string is attached to a particle $B$ of mass $3m$, and $B$ hangs freely below $P$, as shown in Fig. 4. The particles are released from rest with the string taut. The particle $B$ moves down with acceleration of magnitude $\frac{1}{3}g$. Find
\begin{enumerate}[label=(\alph*)]
\item the tension in the string, [4]
\item the coefficient of friction between $A$ and the plane. [9]
\end{enumerate}
\hfill \mbox{\textit{Edexcel M1 Q6 [13]}}