Thanks guys. It seems it's as I thought... at least, if we're talking about
being constrained to a plane.

Now... what happens if my moving particle is contraigned to a sphere? In
other words, there is a mass-less inextensible "string" teathering it to a
fixed point in space. (The force will always be acting in such a way that
the "string" remains taut - there is no possibility of it 'going slack',
which makes things a bit easier.)

If an unconstrained object were acted upon by a resultant force F, it would
accelerate in a path along F. So do I just need to find the nearest curved
path along the sphere? (And gosh, how the hell am I gonna do that? ;-)

Just thought I'd try making my Chaos Pendulum into an actual "penulum" - the
flat view I did was a deliberate simplification.

Thanks.
Andrew.

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