I know the solution to the equation (1) below can be written in terms of exponential functions or sin and cos as in (2). But I can't remember exactly how to get there using separation of variables. If I separate the quotient on the left and bring a Psi across, aka separation of variables (as I...
I'm looking for a book to help me understand a project I'm working on measuring the magnetocaloric effect. I'd like to understand a bit more about the link between magnetism and entropy. I'm a third year bachelor student so I've studied no quantum mechanics (yet), but I'm not against doing so if...
I'm trying to use a solenoid to measure the magnetocaloric effect of dysprosium. The effect is highest at the Neel temp which is down near 180K. I have a solenoid in a cryostat to get the correct temperature. The cryostat's heat exchanger is made of a thick copper cylinder and I think it is...
I'm working on a project at university to calculate the magnetocaloric effect of dysprosium. This will be done using a new technique designed at the university of which its not necessary to go into detail about. In short, the Dy is placed in a solenoid, through which a current runs, the current...
Ok maybe I wasn't clear enough. Thanks for your response. I'm aware this is how you find the eigenvalue. My question is how do i solve the final expression to give me some eigenvalues. I also just realized I made a mistake...
My actual final expression is λ4 - 2λ3k2 + λ2(k22+k2 - k1) + λ(k1k2 -...
Homework Statement
Coupled Harmonic Oscillators. In this series of exercises you are asked
to generalize the material on harmonic oscillators in Section 6.2 to the
case where the oscillators are coupled. Suppose there are two masses m1
and m2 attached to springs and walls as shown in Figure...
Ah ok, I didn't spot that... doh...
So I was nearly there... is this correct below? I've converted the linear momentum of the meteoroid to angular momentum by multiplying by the offset. So the momentum of the meteoroid is now Pm and the offset (where it impacts phobos) is still D.
Iωpi + PmD...
Something isn't right in my second step. Can you tell me where the distance that the meteor impact on Phobos comes into the equation? Otherwise I don't see how to get a solution without the initial angular velocity of Phobos.
Homework Statement
Phobos is a small moon of Mars. For the purpose of the following problem, assume that Phobos has a mass of 5.8x10^15 kg and that it has a shape of a uniform sphere of radius 7.5x10^3 m. Suppose that a meteoroid strikes Phobos 5.0x10^3 m off center and remains stuck. If the...
I have a physics project at university, we designed an experiment to measure the effectiveness of Poiseuilles law in a 'quasi non-steady state'. Poiseuilles law, simply being the measurement of the flow rate of a fluid in a pipe, holding only under steady state though. So by quasi steady state I...