| Exam Board | Edexcel |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2001 |
| Session | January |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Moments |
| Type | Uniform beam on two supports |
| Difficulty | Moderate -0.8 This is a straightforward two-support beam problem requiring only basic moment equilibrium about one point and vertical force balance. The uniform rod setup with given reactions makes it a standard textbook exercise with minimal problem-solving demand, easier than the typical A-level question. |
| Spec | 3.04a Calculate moments: about a point3.04b Equilibrium: zero resultant moment and force |
1.
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{49169cc3-c353-430f-80ce-e14ae7fcd6ea-2_259_792_345_642}
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\caption{Fig. 1}
\end{center}
\end{figure}
A uniform $\operatorname { rod } A B$ has weight 70 N and length 3 m . It rests in a horizontal position on two smooth supports placed at $P$ and $Q$, where $A P = 0.5 \mathrm {~m}$, as shown in Fig. 1 . The reaction on the rod at $P$ has magnitude 20 N . Find
\begin{enumerate}[label=(\alph*)]
\item the magnitude of the reaction on the rod at $Q$,
\item the distance $A Q$.
\end{enumerate}
\hfill \mbox{\textit{Edexcel M1 2001 Q1 [6]}}