My current idea is to use our data for the equation of motion of this thing without the masses so ONLY that negligible inertia is there and use our calculated spring constant and angular frequency to calculate what the inertia actually is. But using something we calculated by ignoring inertia to...
I did an experiment to measure the spring constant of a torsion spring (lab set-up pictured here:
I have no problems calculating anything, but in the calculations, we assumed the inertia of the spring and axis to be negligibly small and it worked nicely. In the lab report I need to be able to...
Homework Statement
I have an electron of 20 GeV and negligible mass that collides with a stationary proton (mc^2 = 9.38 GeV) and deflects at an angle of 5°. I'm asked to find the square of the four-momentum transfer, q2Homework Equations
q = P - P', where P/P' is a 4-momentum vector <px, py...
I got two separate cube root expressions for H, but I see how I can factor out a 2 to combine them into what you have. And yes, I spotted the sign error. Thank you again for the help. :)
Thank you!
That's such an easy problem, I don't know why professor blew over the concept in class.
I don't know if you feel like checking me over, but for G I got \frac{3Np^2}{T^2} and the algebra's giving me trouble for H. I got p= -(dU/dV)= \frac{2NS^2}{V^3}, then...
Homework Statement
Consider an imaginary substance which is characterized by thermal energy
U=\frac{NS^2}{V^2}
(a) Determine the Helmholtz free energy F(T, V).
(b) Determine the Gibbs free energy G(T, p).
(c) Determine the enthalpy H(S, p)
Homework Equations
F=U-TS (maybe dF = dU - sdT = -pdV...
I ultimately wound up getting \int_0^{2\pi}\frac{1}{5-3cos(2\theta}d\theta
Upon evaluating the integral I got \frac{1}{2}arctan(2tan(\theta)), evaluated between 0 and 2\pi, which is 0. But after splitting the boundaries at \frac{\pi}{2} and \frac{3\pi}{2}, I got simply \pi for an answer...
Homework Statement
Evaluate over the x,y plane:
∫∫e^{-\sqrt{x^{2}+4y^{2}}}dxdy
And I know the answer SHOULD be \pi
Homework Equations
Polar-->rectangular identities maybe?
x--> rcos, y--> rsinθ, dxdy--> rdrdθ
The Attempt at a Solution
I tried using polar coordinates, but it...
My friend just came to me with this problem:
e^x + e^-x = 4
I aced precalc, and I still have no idea where to start on this one. I've factored, natural logged, factored and then natural logged... and I keep running into dead ends.
My graphing calculator puts the answer at +/-1.3169 or...
Homework Statement
A question on a pretest asks me to name this. I know it's either (1R,2R) or (1S,2S)1,2-Cyclopentanediol because the OH's are facing in opposite directions, but I'm not sure how to figure out if the OH's are S or R
2. The attempt at a solution
I somewhat have an...
Ah, all the other problems in the set listed vi as the velocity the object becomes airborne with, so I assumed that was the case here as well. Factoring in that negative acceleration up the ramp got me 5.4 m/s leaving the ramp, which got me 3.78 meters.