Recent content by boardbox

It's not. You have the right k. Try factoring f(x) out the given equation. Remember the solution is f(x) times g(x).

Q1 I'm not really sure. Fourier is actually pretty easy but I bet this one can be done without. Separation of variables is a method of solving partial differential equations. The idea is that you have PDE that describes what you're looking at (in this case you're interested in the wave...

Problem 2 delves into a little Fourier analysis, so if you're familiar with that at all try thinking in that direction. As for the expression, you can use separation of variable to arrive at forms for the solution. The wave will be described by the infinite sum of f(x)g(t) so the f(x) is...

Homework Statement A stick of proper length L moves at a speed v in the direction of its length. It passes over a thin sheet with a hole of diameter L cut into it. As the stick passes over the sheet is raised and the stick moves through the hole so that it is underneath the sheet. Is this...

Rolling without slipping implies that the bottom of the wheel doesn't translate for a moment but I'm uncertain that's what I'm looking for, mostly due the wording of the question and my instructor's hint. I'm not looking for points on the wheel that don't move. I'm looking for where spoke on...

Homework Statement A wheel with spokes rolls without slipping on the ground. You take a picture with a stationary camera from the side of the wheel. Because the wheel is moving and the camera has a nonzero exposure time, the spokes are usually blurred. At what points in the picture do the...

I see, makes sense. Thanks for the help.

Zero? You highlight sum. I'm wondering if you want magnitude of difference?

Would it be the sum of the two accelerations over the radius? I think rolling without slipping is \omega = v/r so the acceleration version of that should just be the time derivative. If I have a a constant v on the paper and the ball I would expect to just sum them.

\SigmaFball = Fpaper = maball \Sigmat = tpaper = I \alpha t = r x F \alpha = apaper/r plug and chug aball = 2apaper/5 does that get it about right?

Homework Statement I have a heavy ball on a piece of paper on the floor. The paper is grabbed and moved horizontally with acceleration a. What is the acceleration of the center of the ball? The ball is assumed to not slip with respect to the paper. Homework Equations The Attempt...

Alright well let me think this out for a second. What I'm after is the potential from c to a, after that the problem is simple. That's going to be V(c) - V(a). Well V changes, so taking two steps V(c) - V(b) + V(b) - V(a). If V(c) = V(a) then I get zero potential. That seems a little silly...

Homework Statement Find the capacitance per unit length of three long coaxial metal tubes, with radii a < b < c . A wire connects the innermost and outermost tubes (radii a and c). Homework Equations The Attempt at a Solution I'm a little confused as to how I should set this...

I see, you're right. I missed the hat on R in my text. Thanks.

Homework Statement let R be the separation vector from (a,b,c) to (x,y,z) and r be the magnitude of R. Show that: del(1/r) = -R/r^2Homework Equations del is the gradient operatorThe Attempt at a Solution The problem is that I keep getting a 3/2 power in the denominator when I calculate the left...