OCR M2 2009 June — Question 3 10 marks

Exam BoardOCR
ModuleM2 (Mechanics 2)
Year2009
SessionJune
Marks10
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicMoments
TypeRod hinged to wall with strut or direct force support
DifficultyStandard +0.3 This is a standard M2 moments problem requiring taking moments about the hinge, resolving forces, and using Pythagoras to find the angle. It involves multiple steps (finding angle, taking moments, resolving horizontally and vertically) but uses routine techniques with no novel insight required. Slightly easier than average due to the straightforward setup and clear diagram.
Spec6.04e Rigid body equilibrium: coplanar forces
3 \includegraphics[max width=\textwidth, alt={}, center]{e85c2bf4-21a8-4d9a-93c5-d5679b2a8233-2_497_951_1123_598} A uniform beam \(A B\) has weight 70 N and length 2.8 m . The beam is freely hinged to a wall at \(A\) and is supported in a horizontal position by a strut \(C D\) of length 1.3 m . One end of the strut is attached to the beam at \(C , 0.5 \mathrm {~m}\) from \(A\), and the other end is attached to the wall at \(D\), vertically below \(A\). The strut exerts a force on the beam in the direction \(D C\). The beam carries a load of weight 50 N at its end \(B\) (see diagram).
  1. Calculate the magnitude of the force exerted by the strut on the beam.
  2. Calculate the magnitude of the force acting on the beam at \(A\).
3\\
\includegraphics[max width=\textwidth, alt={}, center]{e85c2bf4-21a8-4d9a-93c5-d5679b2a8233-2_497_951_1123_598}

A uniform beam $A B$ has weight 70 N and length 2.8 m . The beam is freely hinged to a wall at $A$ and is supported in a horizontal position by a strut $C D$ of length 1.3 m . One end of the strut is attached to the beam at $C , 0.5 \mathrm {~m}$ from $A$, and the other end is attached to the wall at $D$, vertically below $A$. The strut exerts a force on the beam in the direction $D C$. The beam carries a load of weight 50 N at its end $B$ (see diagram).\\
(i) Calculate the magnitude of the force exerted by the strut on the beam.\\
(ii) Calculate the magnitude of the force acting on the beam at $A$.

\hfill \mbox{\textit{OCR M2 2009 Q3 [10]}}
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