Centre of mass

There are 7 NRICH Mathematical resources connected to Centre of mass
Pole vaulting
problem

Pole vaulting

Age
16 to 18
Challenge level
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Consider the mechanics of pole vaulting
Uniformly unstable
problem

Uniformly unstable

Age
16 to 18
Challenge level
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Invent shapes with different numbers of stable and unstable equilibrium points
Well balanced
problem

Well balanced

Age
5 to 18
Challenge level
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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.
Wobbler
problem

Wobbler

Age
16 to 18
Challenge level
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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?
Overarch 2
problem

Overarch 2

Age
16 to 18
Challenge level
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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?
High Jumping
article

High Jumping

How high can a high jumper jump? How can a high jumper jump higher without jumping higher? Read on...