Rigid bodies

problem
Favourite

Wobbler

Age

16 to 18

Challenge level

A cone is glued to a hemisphere. When you place it on a table in what position does it come to rest?
problem
Favourite

More Bridge Building

Age

16 to 18

Challenge level

Which parts of these framework bridges are in tension and which parts are in compression?
problem
Favourite

Lunar Leaper

Age

16 to 18

Challenge level

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?
problem
Favourite

Bridge Builder

Age

16 to 18

Challenge level

In this short problem we investigate the tensions and compressions in a framework made from springs and ropes.
problem

Euler's Buckling Formula

Age

16 to 18

Challenge level

Derive Euler's buckling formula from first principles.