Standard +0.3 This is a straightforward moments problem requiring students to apply the principle of moments about a point and resolve forces horizontally. It involves standard M1 techniques with clear given values and a single equilibrium setup, making it slightly easier than average but still requiring systematic application of mechanics principles.
1.
\includegraphics[max width=\textwidth, alt={}, center]{31efa627-5114-4797-9d46-7f1311c18ff8-1_490_254_354_347}
A vertical pole \(X Y\), of length 2.5 m and mass 0.5 kg , has its lower end \(Y\) free to move in a smooth horizontal groove. Forces of magnitude 0.2 N and 0.14 N are applied to the pole horizontally at the points \(V\) and \(W\) respectively, where \(X V = 1.5 \mathrm {~m}\) and \(V W = 0.5 \mathrm {~m}\).
Find, to the nearest cm , the distance from \(X\) at which an opposing horizontal force must be applied to keep the pole at rest in equilibrium, and state the magnitude of this force.
1.\\
\includegraphics[max width=\textwidth, alt={}, center]{31efa627-5114-4797-9d46-7f1311c18ff8-1_490_254_354_347}
A vertical pole $X Y$, of length 2.5 m and mass 0.5 kg , has its lower end $Y$ free to move in a smooth horizontal groove. Forces of magnitude 0.2 N and 0.14 N are applied to the pole horizontally at the points $V$ and $W$ respectively, where $X V = 1.5 \mathrm {~m}$ and $V W = 0.5 \mathrm {~m}$.\\
Find, to the nearest cm , the distance from $X$ at which an opposing horizontal force must be applied to keep the pole at rest in equilibrium, and state the magnitude of this force.\\
\hfill \mbox{\textit{Edexcel M1 Q1 [6]}}