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

Well Balanced

Exploring balance and centres of mass can be great fun. The resulting structures can seem impossible. Here are some images to encourage you to experiment with non-breakable objects of your own.

Overarch 2

Age 16 to 18
Challenge Level

This problem follows on from Overarch 1.

 


Bricks are 20cm long and 10cm high. If you built a tower of single bricks without using mortar on a flat horizontal surface, how tall would the tower have to be for it to overhang by 1 metre? How big an overhang is it possible to make like this?

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.
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