7. As part of a design for a new building, an architect wants to support a wooden beam in a horizontal position. The beam is suspended using a vertical steel cable and a smooth fixed support on its underside. The diagram below shows the architect's diagram and the adjacent table shows the categories of steel cable available.
\includegraphics[max width=\textwidth, alt={}, center]{8f47b2ff-f954-42ec-8ecc-fc64313a7b89-18_504_1699_559_191}
You may use the following modelling assumptions.
- The wooden beam is a rigid uniform rod of mass 100 kg .
- The force exerted on the beam by the support is vertical.
- The steel cable is inextensible.
\section*{SAFETY REQUIREMENT}
Both the steel cable and the support must be capable of withstanding forces of at least four times those present in the architect's diagram above.
The wooden beam is held in horizontal equilibrium.
[0pt]
- Given that the support is capable of withstanding loads of up to 2000 N , show that the force exerted on the beam by the support satisfies the safety requirement. [3]
- Determine which categories of steel cable in the table opposite could meet the safety requirements.
- State how you have used the modelling assumption that the beam is a uniform rod.
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