### Lunar Leaper

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?

### Wobbler

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

### Bridge Builder

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

# More Bridge Building

##### Stage: 5 Challenge Level:

Newton, from Macquerie Fields primary school thinks that the bridges of even length will be the most stable and not feel any forces at the joints. Is he right? Can you use vectors and mechanics to help?

Fygliwu presents a very intuitive mechanical explanation:

A bridge of even length should be less stable due to the fact that it has a central point which bears a load. On a bridge of uneven length this load is shared between a set of three points, the two in the middle on the bottom and the one in the middle on the top. This therefore means that the load of an uneven bridge is spread out and therefore dissapated whilst the load of an uneven bridge in focused on a single joint.

Can anyone supply mathematical justification?