Cambridge maths tripos dynamics 2009
Maths and statistics discussion, revision, exam and homework help.
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Cambridge maths tripos dynamics 2009http://www.maths.cam.ac.uk/undergrad.../PaperIA_4.pdf
question 12 part b).
Am I supposed to use the electrical potential on the free particle by modelling the problem using a set of cartesian axis and use the hessian of the electrical potential to find the nature of (0,0)? seems straightforward but very tedious. also I'm not sure how you work out the frequency of the oscillation by using the hessian term. is there a better method I'm missing?
thanks.Last edited by HaouLelouch; 22-05-2012 at 22:46. -
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Re: Cambridge maths tripos dynamics 2009I'm pretty sure you'll find that the matrix is just a multiple of the identity, so it's just normal SHM. (I think if it was not, the period of oscillation would be different for small oscillations in x v.s. y).
