Recent content by Just a nobody

Homework Statement a and b are coprime. Show that for any n, there exists a nonzero integer k that makes a+bk and n coprime.Homework Equations a and b are coprime if any of the following conditions are met: \text{gcd}(a,b)=1 the ideal (a,b)=\{ax+by : x,y\in\mathbb{Z}\} is equal to the set of...

I've taken an intro QM course (1-dimensional systems and hydrogen atom) and I'm currently 3 weeks into the second undergrad QM course. We went over angular momentum and the professor is covering spin right now. In terms of grades, I'm doing okay: I received a 3.5 in the intro course and I'm...

I'm going to return to this in a couple days; I'm a bit busy with homework right now. (So don't think I'm ignoring anyone's responses—I'm very grateful for all of your help!) The string isn't fastened like that. Sorry if my drawing was misleading. I attached a close up of where the string...

Wow! Lots of replies. Thanks, everyone. That's a neat idea. I'll try adding in a model for the support structure—do you think using the http://en.wikipedia.org/wiki/Shear_modulus" would make a decent model for this? In real life, I realize the rod in the support structure might actually...

In my intro mechanics lab class, we did an experiment where we measured how much energy was lost in a pendulum over 300 seconds. In my case, the final energy of the pendulum was 2.4% what the initial energy was. The pendulum was constructed by attaching a cylindrical metal bob to a thread...

The rest of the article leads me to believe that it's just like a normal derivative, except that it's being taken with respect to a function instead of a variable. I should have mentioned this in my original post, but part of my confusion is also coming from a book I have (Classical...

In the http://en.wikipedia.org/wiki/Hamilton%27s_principle#Mathematical_formulation", I ran across a notation I'm not familiar with. The part I'm unsure about is: \frac{\delta \mathcal{S}}{\delta \mathbf{q}(t)}=0 In the context of the article, what is the meaning of that equation...

rho = \rho It's often used to represent density and the radial component in spherical coordinates, among other things.

Does anyone have any handwriting suggestions to keep rho (lowercase) and p from looking too alike? Currently, I differentiate them by making the top left corner of rho rounded and keeping the top left corner of p pointed. However, this isn't a very noticeable difference, especially when...

The integral to find area in polar coordinates is: \iint_A r \, dr \, d\theta Adjust the limits of integration to match the equations given. The actual contents of the integral (r \, dr \, d\theta) will remain the same.

From the diagram, I get the impression that the cylinder is not actually touching the triangle and is instead attached to a pivot point (which I will assume frictionless). If this is the case, the forces on the block are the gravitational force, kinetic friction force, tension force, and...

Thanks for checking my work. I'll probably talk to the professor on Monday.

Homework Statement Given that the density of a sphere with respect to radius is \rho(r) = \rho_0 \left( 1 - \frac{\alpha r}{R_0} \right) (where \rho_0, \alpha, and R_0 are constants), find the total mass of the sphere. The radius of the sphere is equal to R_0. \rho_0 = 5320 \...

Okay, thank you very much for answering. My intuition told me otherwise, so I wanted to verify my answer.

This isn't actually a homework question, but the style of it fits best in this forum. Diagram http://img355.imageshack.us/img355/9836/text5029jb0.png \tau - torque of wheel R - radius of wheel f_k - force due to kinetic friction Question Is the translational acceleration of the...