Derive Euler's buckling formula from first principles.
Gravity on the Moon is about 1/6th that on the Earth. A pole-vaulter 2 metres tall can clear a 5 metres pole on the Earth. How high a pole could he clear on the Moon?
In this short problem we investigate the tensions and compressions in a framework made from springs and ropes.
Which parts of these framework bridges are in tension and which parts are in compression?
A cone is glued to a hemisphere. When you place it on a table in what position does it come to rest?