Recent content by Hannisch

Homework Statement How many "words" with 5 letters can be created from the letters in the word ALGEBRA? Each letter can be used only once. Homework Equations The Attempt at a Solution I know the answer to this (1320) and I know how I got to it (which I'll describe in a minute)...

I honestly can't find any, the closest I came to it was from my lecture notes, where my teacher wrote |spatial>|spin> in an example.

Thank you :D Well then, I actually need some help with d) as well, it turns out. Because I know, from c), that the two fermions will be in n_x=n_y=1 , so that the wavefunctions will be \psi_{1,1}^{(1)}(x_1,y_1) = \frac{\sqrt{2}}{a}sin(\frac{\pi x_1}{a})sin(\frac{\pi y_1}{2a})...

Homework Statement So, I'm asking for a bit of help before I confuse myself completely. The question statement is: Consider a two-dimensional potentialbox V(x,y) = 0 if 0 \leq x \leq a, 0 \leq y \leq 2a and infinity otherwise. a) Determine the energy eigenstates and energy...

Homework Statement A charge distribution with spherical symmetry has the density \rho = \rho _0 r/R for 0≤ r ≤ R. Determine the total charge content of the sphere. Homework Equations \rho = Q / V The Attempt at a Solution I started by thinking of the charge dQ of a small...

Okay, never mind, I realized my mistake. I'd stared myself blind in my tiredness x)

Homework Statement Calculate the curve integral \int_{\gamma}(x^2+xy)dx+(y^2-xy)dy where \gamma is the line segments from (0,0) to (2,0) and from (2,0) to (2,2). Homework Equations \int_{\gamma} P(x,y)dx+Q(x,y)dy= \int^{\beta}_{\alpha}(P(g(t),h(t))g'(t)+Q(g(t),h(t))h'(t))dt...

Ah, okay. I thought I went wrong somewhere in the beginning. I'll try to do it during the day (there's no time right now, I need to go to my lecture), but thank you!

Homework Statement A homogenous cylinder with radius R and mass M is resting, with the axis vertical, on a horizontal surface, which can be asumed to be completely slippery. A string is partially wound around the cylinder. The string then runs over a pulley at the end of the table, in the same...

Torquil: That makes a lot of sense. Since the tension is affecting the pulley equally on both sides, I guess that means it would have the half the acceleration of m and half that of M. Thanks!

Why wouldn't the tension be necessary? It's the only force affecting the masses up and the only force affecting the pulley down. And I don't agree that T = F. I definitely don't, since there's tension from both sides of the pulley and that means that 2T = F.

I guess they're different (it doesn't say that they're the same and the question clearly differentiates them), so I'd say they probably are moving relative to each other. Otherwise their acceleration would be the same as that of the pulley, right?

Homework Statement P is a pulley with neglectable mass which is being affected by an external force F. Determine the accelerations of P, m and M. I've got a picture, but it goes something like this: There's a pulley and from it (on each side) there are two masses hanging. On the left...

Oh thank you! Talk about change in thinking. And anyway, I didn't use that second interval, because it didn't fit with the area that I was given, since it stated that x^(1/9) needed to be >= x^9. It gave me the right answer, so I'm very happy now!

Homework Statement Calculate the double integral: \iint\limits_D x^{5}y^{6}dxdy where D = {(x,y): x9 ≤ y ≤ x1/9} Homework Equations The Attempt at a Solution I didn't think this problem would be too hard, but it seems I'm really not good with double integrals. Anyway, I...