Homework Statement
Two particles pigs of mass ##m## and ##M## undergo uniform circular motion about each other at a separation of ##R## under the influence of an attractive force ##F##. The angular velocity is ##\omega## radians per second. Show that R = \frac{F}{\omega^2}\left( \frac{1}{m} +...
Well, it was the way I was trying to do it, but if anything I've learned that I tend to overcomplicate things.
Anyway, I figured out the problem was my rotated frame. I plugged the ##2 t_{\text{max}}## I got above into the unrotated horizontal component of the distance equation and got the...
Using -60º just gives me +75º. I've played with all the signs; the only answer that (sort of) works out is the one I got.
And solving the problem without the frame rotation is all kinds of unpleasant.
Homework Statement
A boy stands at the peak of a hill which slopes downward uniformly at angle ##\phi##. At what angle ##\theta## from the horizontal should he throw a rock so that it has the greatest range?
Homework Equations
##\mathbf{s} = \mathbf{v}_0 t + \frac{1}{2} \mathbf{a} t^2##...
Homework Statement
This is from Kleppner, problem 1.12 in the 2010 edition, if you want to see the diagram.
The acceleration of gravity can be measured by projecting a body upward and measuring the time that it takes to pass two given points in both directions. Show that if the time the...
Homework Statement
(a) If x_{1},\ldots, x_{n} are distinct numbers, find a polynomial function f_{i} of degree n - 1 which is 1 at x_{i} and 0 at x_{j} for j \ne i. Hint: the product of all (x - x_{j}) for j \ne i is 0 at x_{j} if j \ne i. This product is usually denoted by
\prod_{\substack{j...
If you like Mandarin, go for Mandarin. Aside from the fact that learning a language you're interested in is way more fun than learning one you're not, it seems to me Chinese is highly marketable these days. And usually if a program requires or looks highly on knowing a foreign language, which...