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Overarch 2

Bricks are 20cm long and 10cm high. How high could an arch be built without mortar on a flat horizontal surface, to overhang by 1 metre? How big an overhang is it possible to make like this?

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Explain why, when moving heavy objects on rollers, the object moves twice as fast as the rollers. Try a similar experiment yourself.

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Maximum Flow

Given the graph of a supply network and the maximum capacity for flow in each section find the maximum flow across the network.

Overarch 1

Age 16 to 18 Short Challenge Level:

Before attempting this problem is it interesting to ask students to make a scale sketch of their best intuitive guess at the answer.

Once the answer is found the students can compare their intuition with reality. Were they roughly correct? Does their answer give them any clues as to the form of a larger compound structure?

Ask students to explain in words why their structures only just balance, as producing a clear verbal explanation will reinforce the understanding of the underlying mechanical principles.