Standard +0.3 This is a standard statics problem requiring resolution of forces and taking moments about a point. The geometry is slightly more complex than typical (wall at 80° rather than vertical), but the solution method is routine: resolve horizontally/vertically, take moments about A, and solve simultaneous equations. This is a straightforward M2 application question with no novel insight required.
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\includegraphics[max width=\textwidth, alt={}, center]{982647bd-8514-40cf-b4ee-674f51df32c5-2_412_380_909_884}
A uniform rod \(A B\), of weight 25 N and length 1.6 m , rests in equilibrium in a vertical plane with the end \(A\) in contact with rough horizontal ground and the end \(B\) resting against a smooth wall which is inclined at \(80 ^ { \circ }\) to the horizontal. The rod is inclined at \(60 ^ { \circ }\) to the horizontal (see diagram). Calculate the magnitude of the force acting on the rod at \(B\).
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\includegraphics[max width=\textwidth, alt={}, center]{982647bd-8514-40cf-b4ee-674f51df32c5-2_412_380_909_884}
A uniform rod $A B$, of weight 25 N and length 1.6 m , rests in equilibrium in a vertical plane with the end $A$ in contact with rough horizontal ground and the end $B$ resting against a smooth wall which is inclined at $80 ^ { \circ }$ to the horizontal. The rod is inclined at $60 ^ { \circ }$ to the horizontal (see diagram). Calculate the magnitude of the force acting on the rod at $B$.
\hfill \mbox{\textit{OCR M2 2008 Q3 [6]}}