| Exam Board | Edexcel |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2004 |
| Session | January |
| Marks | 9 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Moments |
| Type | Uniform beam on two supports |
| Difficulty | Moderate -0.8 This is a straightforward M1 moments question requiring taking moments about a pivot point and solving linear equations. Part (a) is a direct application of the principle of moments with given distances, while part (b) requires setting up a similar equation with an unknown distance. Both parts use standard textbook techniques with no conceptual challenges beyond basic equilibrium understanding. |
| Spec | 3.04a Calculate moments: about a point3.04b Equilibrium: zero resultant moment and force |
\includegraphics{figure_1}
A lever consists of a uniform steel rod $AB$, of weight 100 N and length 2 m, which rests on a small smooth pivot at a point $C$ of the rod. A load of weight 2200 N is suspended from the end $B$ of the rod by a rope. The lever is held in equilibrium in a horizontal position by a vertical force applied at the end $A$, as shown in Fig. 1. The rope is modelled as a light string.
Given that $BC = 0.2$ m,
\begin{enumerate}[label=(\alph*)]
\item find the magnitude of the force applied at $A$. [4]
\end{enumerate}
The position of the pivot is changed so that the rod remains in equilibrium when the force at $A$ has magnitude 1200 N.
\begin{enumerate}[label=(\alph*)]
\setcounter{enumi}{1}
\item Find, to the nearest cm, the new distance of the pivot from $B$. [5]
\end{enumerate}
\hfill \mbox{\textit{Edexcel M1 2004 Q2 [9]}}