Recent content by zwingtip

Thanks, that made sense. Question, though. I found that only a constant can be the eigenfunction. Is this true?

Homework Statement Let V be the linear space of all real polynomials p(x) of degree < n. If p \in V, define q = T(p) to mean that q(t) = p(t + 1) for all real t. Prove that T has only the eigenvalue 1. What are the eigenfunctions belonging to this eigenvalue? Homework Equations Not sure...

I think I've got it with an induction proof from the base cases r=1, r=2 and the inductive step being that it holds for r>2 then manipulating it algebraically for an entire page of 5mm graph paper. THanks.

Still doesn't make sense to me. What if the intersection contains more than just the zero vector? Sorry for being stupid. Help?

Homework Statement let V be a finite dimensional vector space of dimension n. For W \leq V define the codimension of W in V to be codim(W) = dim(V) - dim(W). Let W_i, 1 \leq i \leq r be subspaces of V and S = \cap_{i=1}^{r}W_i. Prove: codim(S) \leq \sum_{i=1}^{r} codim(W_i)Homework...

Are you familiar with proofs by induction? Try using that.

Thanks.

Homework Statement http://www.its.caltech.edu/~tmu/ph1a/FPs/fp12.htm this is the question. Homework Equations T^2=\frac{4\pi^2a^3}{GM} E=-\frac{GMm}{2a} The Attempt at a Solution I have none. My question is, does the fact that there are two planets affect the equations for period and...

In the moment of inertia, x^2+y^2 is r^2 (pythagorean theorem)

Is the answer \frac{5}{12}ML^2 ?

Thanks. I'll try it.

Okay, in that case, I have no idea how to integrate it. Help? I tried integrating it as a function of y and got \frac{3\sqrt{3}}{16}ML^2 But that doesn't seem right either.

Homework Statement [PLAIN]http://img59.imageshack.us/img59/9484/fp5.gif to find the moment of inertia through point A Homework Equations I = \int{r^2dm}The Attempt at a Solution Used a double integral from point A: \displaystyle\int_{0}^{h}\displaystyle\int_{-L/2}^{L/2}\rho(x^2+y^2)dxdy =...

Awesome, thanks. I actually already turned in the set, but that's what I changed it to when I realized the forces didn't add up right.

Think about which way a force is acting on the cart. For example, note that in A the cart is moving upwards, but is there anything actively pushing it that way? Next think about when the cart changes directions. You can learn from Newton's laws that a force must be applied to change the...