Recent content by maxbashi

So if I have numbers 1,2,3, intuitively you can say that there are 6 permutations: 123 132 213 231 312 321 If there any way to rigorously prove that these are the only possible arrangements of these three numbers? Even more simple, is there any way to prove that 12 and 21 are the only...

So my book has an equation describing the wavelengths of light that are diffracted by a chiral nematic liquid crystal in terms of the refractive index (n), the pitch of the helix (p), and the angle (θ) with respect to the surface. The equation is this - λ = np√((1-cos2θ)/n2) If this isn't...

Homework Statement A block of mass (m1) is attached by a massless string to a pulley of mass (m2) with radius R. Starting from rest, what is the block's speed after it has fallen height h? Homework Equations I'll call angular velocity w. I'm thinking conservation of mechanical energy, so...

So imagine that in an open room you have a big scale and on it you have a jar and a lid sitting next to each other. Imagine a butterfly floating into the jar but not touching the bottom. I wouldn't think this would increase the reading on the scale. But if you put the lid on the jar, closing the...

Oh - would the 4.0 m be the distance from the top of the water slide to the pool, or the distance from the top of the water slide to the bottom? (Ok just answered my own question - thanks)

I'm not seeing my mistake, but I'm not getting the answer in the back of the book. Homework Statement A water slide has a height of 4.0 m. The people coming down the slide shoot out horizontally at the bottom, which is a distance of 1.5 m above the surface of the water in the pool. If a person...

Why is the right side called the "input?" I'm looking at linear, 1st order ODEs, like y' + p(t)x = q(t) The notes I'm looking at are calling q(t) the "input" of the system, but I'm not sure why. I understand how to solve the equations, but I must be looking at it differently or something...

Thank you so much! Eliminating t by setting it equal to (v-vo)/a was just what I was missing. Thanks!

I'm stuck doing this problem in my first year mechanics class. I feel sort of dumb for not being able to get it. The teacher wants us to just memorize the formulas but I really really really don't want to do that - I'm trying to just do it using the basics and calculus. I can obviously do this...

Okay so that part is making sense. So from skimming ahead it looks like actually finding the charge has something to do with the laplacian (which I haven't gotten to yet), but could you get the enclosed charge (q) by taking the triple integral of p dV? Or would you just use some other method?

So I'm reading Div, Grad, Curl and All That which is my only exposure to Maxwell's equations. The author started with the integral form of Gauss's law (which I get), where the surface integral of the electric field = the enclosed charge (q) divided by epsilon nought. But in deriving the...

well that's embarrassing. thanks.

I would think math would be just as useful as any other subject for law school just because you develop a sort of logical thinking/reasoning. But you also get that from physics, so if you don't enjoy the math major then by all means I wouldn't keep taking it. There's actually an interesting list...

What would that definition be? something other than the inverse of e^x?

Homework Statement A quantity of 2.00x10^2 mL of .862 M HCl is mixed with 2.00x10^2 mL of .431 M Ba(OH)2 in a constant-pressure calorimeter of negligible heat capacity. The initial temperature of the HCl and Ba(OH)2 solutions is the same at 20.48 C. For the process H+(aq) + OH-(aq) -->...