Equilibrium of a particle

There are 3 NRICH Mathematical resources connected to Equilibrium of a particle
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
Hold still please
problem

Hold still please

Age
16 to 18
Challenge level
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Can you arrange a set of charged particles so that none of them start to move when released from rest?
Building up friction
problem

Building up friction

Age
16 to 18
Challenge level
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A series of activities to build up intuition on the mathematics of friction.