Recent content by atarr3

I've always been really interested in it. Additionally, my favorite topic in EE is also signal processing. At the very least, I would like to get involved in quantum research and/or quantum theory. There might be other fields in quantum that I might want to get involved in instead, but at the...

Sorry to bring up yet another topic about such hackneyed subject, but I've reached the point in my academic career where I need to start making some important decisions, and I could really use some advice. I'm currently a 3rd year double major at Georgia Tech in electrical engineering and...

Actually I think what I wrote is wrong. I have to calculate the tensor for the collection of particles with respect to the new axis of rotation don't I, so theta has to be replaced by \theta + \theta' where \theta ' is the angle the new angular velocity vector makes with the z-axis.

By the way, thank you so much for all of your help, I really appreciate it.

Ok one more question and then I should be able to pretty much finish this problem. I'm finding the coordinates of the point masses with respect to the CM of the of sphere, but I feel like they fall into a two dimensional plane. For example, I believe one of the masses has coordinates...

Ok so you're saying I can use superposition for the moment of inertia of the system? That's what I was mostly confused about. I have the formula for computing it for a collection of particles, I just wasn't sure if I could use that when the masses stuck to the sphere.

Also, is only the direction of the angular velocity changing, or is it both the direction and magnitude?

The only thing I can think of to do is multiply by a rotation matrix where the angle of the rotation matrix is the angle the new angular velocity vector makes with the vertical. But I still don't know how to include the two masses that are stuck on the sphere into the tensor.

Ohhhhhhh ok that makes much more sense. So then the tensor is not the one for the principal axes? I'm confused how to find tensors for objects like this, I've only calculated them for shapes like squares and spheres and rectangles.

Oh and \theta is the given angle plus the angle of the new angular velocity vector with respect to the vertical.

Can I calculate it with respect to the initial axis of rotation? So the angular momentum of each point mass would be mR^{2}\omega sin\theta added to 2/5mR^{2}\omega, where \omega is the new angular velocity vector?

Well I know the initial angular momentum is 2/5 mR^{2} \omega, but I don't know how to calculate it for the final angular momentum.

Homework Statement A uniform sphere of mass mand radius R rotates around the vertical axis with angular speed \omega. Two particles of mass m/2 are brought close to the sphere at diametrically opposite points, at an angle \theta with the vertical. The masses, which are initially at rest...

Ok so given \frac{1}{r(\theta)}=\frac{\mu}{h^{2}}\left(1+\epsilon cos(\theta)\right), this is the equation for the finding the distance of separation as a function of theta. Going back to what I said about r_{2max}=r_{1max} I can find a way to relate these to one another. Also looking at the...

Ok I think I just got the answer. I'll post it once I'm done with my classes today just make sure. Thanks for all of your help guys!