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Hi there, i'm a bit stuck on the question:
A particle P describes the equianglar spiral with polar coordinates r = ae^θ in such a way that its acceleration has no radial component. Show that
(a) the speed of the particle is proportional to r
(b) the magnitude of the acceleration is proportional to r.
I've sat and fiddled with it for a bit but couldn't seem to get very far. Any help appreciated :-)
Student: "What's a corollary?"
Lecturer: "What's a corollary? It's like when a theorem has a child. And names it corollary."
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