I was going through my textbook, Introduction to Electrodynamics, and I came across this question that puzzled me. The book is really great by the way, I would highly recommend it. No, this isn't a homework question, it just got me thinking.
For a finite line of charge (like a rod, for...
I found out what I was doing wrong. It's really stupid. When solving for N, my value for tau(7.04 microseconds), I didn't punch it into my calculator right. Was entering 7.04 instead of 7.04X10^-6. The answer I got then was right, about 1.13X10^4.
Mark this problem as solved. Thanks...
I apologize for the shameless 'thread bumping', but I'm really stuck on this problem and could use some help. It's due in about 12 hours so that's why I'm rushing now. I don't like turning in HW I know is wrong.
Homework Statement
The muon is an unstable particle that spontaneously decays into an electron and two neutrinos. If the number of muons at t = 0 is N_{o}, the number at time t is given by N = N_{0}e^{-t/\tau}, where \tau is the mean lifetime, equal to 2.2 \mu s. Suppose the muons move at a...
Homework Statement
A 2000-kg car moving with a speed of 20 m/s collides with and sticks to a 1500-kg car at rest. Show that because momentum is conserved in the rest frame, momentum is also conserved in a reference frame moving with a speed of 10 m/s in the direction of the moving car...
Thank you. I always over complicate things. I believe I know how to do it now.
To answer your question, y is -b\omega^2\cos(\omega t) and z is 2c
Now I square them, add them up, and take the square root of that sum (this:||\mathbf{a}||=\sqrt{a_x^2+a_y^2+a_y^2}). Correct?
So I take \mathbf{a} (the second derivative above), and factor in x for the first part. So it would look like this:
\mathbf{a_x}(t)=[-b\omega^2\sin(\omega t)\mathbf{i}-b\omega^2\cos(\omega t)\mathbf{j}+2c\mathbf{k}*\mathbf{b}sin(\omega t)]^2, where \mathbf{b}sin(\omega t) is x.
Then do...
The first derivative:
ib\omega cos \omegat - jb\omega sin \omegat + 2kct
Second derivative:
-ib\omega^{2} sin \omegat - jb\omega^{2} cos \omegat + 2kc
Is that right?
I hope I posted in the right place. Sorry in advanced.
Homework Statement
A buzzing fly moves in a helical path given by the equation
r(t) = ib sin \omegat + jb cos \omegat + kct^{2}
Show that the magnitude of the acceleration of the fly is constant, provided b, \omega, and c are...
\int_{e}^{infinity} \frac{dx}{x \ln x} = \int_{e}^{infinity} \frac{1}{x \ln x} dx = \int_{e}^{infinity} \frac{1}{\ln x} d \ln x = ln|lnx| + C evaluated from e to infinity
I think I know what I need to do next, I just want to make sure I'm good up to this point. Also, how do you put in an...
No I'm not drunk, I'm just new to this material. However I think were just about done:
I understand how you did everything, so now...
4\int(\sec \theta \tan \theta) \tan \theta d\theta=4(\sec \theta \tan \theta-\int\sec^{3}\theta d\theta)
Where... \int\sec^{3}\theta d\theta) =...