| Exam Board | Edexcel |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2007 |
| Session | June |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Forces, equilibrium and resultants |
| Type | Particle with string at angle to wall |
| Difficulty | Moderate -0.8 This is a straightforward equilibrium problem requiring resolution of forces in two perpendicular directions. Students apply standard M1 techniques (resolving horizontally and vertically) with basic trigonometry to find two unknowns. The setup is clear, the method is routine, and the calculations are simple, making this easier than average. |
| Spec | 3.03e Resolve forces: two dimensions3.03m Equilibrium: sum of resolved forces = 0 |
| Answer | Marks | Guidance |
|---|---|---|
| (a) \(T \sin 20° = 12\) | M1 A1 | (3 marks) |
| Answer | Marks | Guidance |
|---|---|---|
| (b) \(W = T \cos 20°\) | M1 A1 | (4 marks) |
| \(\approx 33.0\) N (awrt 33) | DM1 A1 | |
| [7] |
**(a)** $T \sin 20° = 12$ | M1 A1 | (3 marks)
$T \approx 35$ N (awrt 35)
**(b)** $W = T \cos 20°$ | M1 A1 | (4 marks)
$\approx 33.0$ N (awrt 33) | DM1 A1 |
| | [7] |1.
\begin{figure}[h]
\begin{center}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\includegraphics[alt={},max width=\textwidth]{5b5d70b1-1eb6-461f-9277-5912b914f443-02_579_490_301_730}
\end{center}
\end{figure}
A particle $P$ is attached to one end of a light inextensible string. The other end of the string is attached to a fixed point $O$. A horizontal force of magnitude 12 N is applied to $P$. The particle $P$ is in equilibrium with the string taut and $O P$ making an angle of $20 ^ { \circ }$ with the downward vertical, as shown in Figure 1.
Find
\begin{enumerate}[label=(\alph*)]
\item the tension in the string,
\item the weight of $P$.
\end{enumerate}
\hfill \mbox{\textit{Edexcel M1 2007 Q1 [7]}}