Recent content by Rhi

Oh, right, I see what you mean now... I was thinking that it was released from rest so would have zero velocity in the x direction so wouldn't be parabolic but that's not right if you're in an inertial frame.. Thanks for all the help!

Hmm.. How do you get parabolic motion? sorry if I'm being slow here!

Ah right of course! I see what you mean now, and that gives the correct answer, thanks. The only other bit I wasn't sure about was part c), I don't really know what sort of answer they're looking for..

Apologies if I'm being really stupid here, but I don't see how the initial conditions give any information about v_{0} and w_{0}? The two initial conditions give you the constants from the ODE don't they?

I'm a bit unsure about the last couple of bits of this question, and I'm hoping someone might be able to help. Homework Statement a) Let a reference frame with origin O & Cartesian axes (x, y, z) be fixed relative to the surface of the rotating Earth at co-latitude θ (i.e. 0≤θ≤∏, where θ...

Ah, I get it. That makes a lot of sense, cheers :)

I'm not really sure what you mean, there's no L_k involved in the last line? And I'm not really sure what you mean by a commutator, either..

Homework Statement Let f(q, p), g(q, p) and h(q, p) be three functions in phase space. Let Lk = εlmkqlpm be the kth component of the angular momentum. (i) Define the Poisson bracket [f, g]. (ii) Show [fg, h] = f[g, h] + [f, h]g. (iii) Find [qj , Lk], expressing your answer in terms of...