Hi all. I have a biochem test tomorrow, and would like some help. I went through the practice exam that was given to us, and from past experience the real test and practice test tend to be very similar. Also, from past experience, I tend to get a couple of them wrong because I believe that I...
Homework Statement
Without computing A, find the bases for the 4 fundamental subspaces.
[1 0 0][1 2 3 4]
[6 1 0][0 1 2 3]=A=LU
[9 8 1][0 0 1 2]
Homework Equations
N/A
The Attempt at a Solution
There was an "example" in the book. It just showed the answers.
It was:
[1 0...
I have to do a LDL^{T} transform of a symmetrical matrix:
[2 -1 0]
[-1 2 -1]
[0 -1 2]
And, I'm just wondering if I have to do a row exchange, or something. I can't remember if the L matrix has to have the form
[x 0 0]
[x x 0]
[x x x]
where the x's are nonzero numbers...
So now I get
x-direction
Fx = N sin() - mu N cos()
ax = [N sin() - mu N cos()]/m
T = -[v0x cos() m]/[N sin() - mu N cos()]
Substitute N = mg cos()
T = -[v0x cos() m]/[mg cos() sin() - mu mg cos() cos()]
cancel m cos() to arrive at original answer, right?
Thanks for all of your...
For part a, I got
T = -v0/(g sin(theta) - mu g cos(theta)]
Obviously since it's the same situation, I should be able to get the same answer for part b, But I'm having difficulty.
x-direction
Fx = N cos() - mu N cos()
ax = [N cos() - mu N cos()]/m
T = -[v0x cos() m]/[N cos() - mu N cos()]...
Excellent. Thank you.
For the second part, with the axes being the vertical and horizontal, I'm going to have a multi-component acceleration, yeah?
In the y-direction, the forces working is the weight/gravity which is pointing in the -y-direction, and components of the Normal and Friction...
Homework Statement
A block slides down a slope from point O with initial speed V. THe sliding coefficient, mu, brings the block to rest at time T. Using the ramp as the x-axis and the perpendicular as the y-axis, find T.
Homework Equations
F = ma
mu = mg sin(theta)
a=dv/dt
The...
Homework Statement
Homework Equations
The Attempt at a Solution
(3) I haven't been able to start this one at all.
(6) I got part a (+45º P-state). I tried to do b and I got [1+i, -i+1] which isn't a polarization state, so I'm not sure what to do with c or if there is some...
I don't understand where the exp(ik) is coming from.
And, by phase, do you mean phase shift. If that's the case, it doesn't effect it at all. E is the aplitude of the wave, and it doesn't depend on the phase as far as I can remember.
I used the right identity then, I just forgot to divide by 2. Because if you check the definition of delta in the problem statement, it's divided by 2R. I just don't know how to get rid of that extra exponential term.
Also, I did a little thinking and thought that L'Hopital was the way to go...
I'm not sure how to get the exponentials into a sine function. Because exp(ix) = cos(x)-isin(x) and that doesn't seem to help me. I thought that exp(ix)-1=2i exp(ix) sin(x). Is that not right?
As for (d), it was just the wording of the problem. It doesn't ask for the limit, but if no one can...
I'm bumping this because I finished parts (a) and (b), but now I'm having trouble with (c).
I know that the irradiance is energy/area/time. But, I never understood how to derive it. The only equation our book (Hecht) has in it that defines irradiance is the time average of the poynting...
[SOLVED] Optics - Diffraction
Hi. I was given an extra credit problem in class to derive equations related to multiple slit diffraction. I was wondering if someone wouldn't mind looking over what I have so far, and pointing me in the next direction. Thank you!
Homework Statement
Homework...
Are you referring to (n1/so)+(n2/si)=(n2-n1)/R?
My initial thought about this problem was to use that equation, but I wasn't sure what to do about R. I didn't think about setting it to infinity.
Thank you.
Thank you again for the reply. A couple clarifications to make sure I understand.
So the ray I draw from the fish is arbitrary and I just choose a random angle, and use that angle in Snell's law to calculate the refracted angle?
Also, which line is the apparent depth? The entire line made...
Thank you for the reply. It did ask to locate the image of the fish, sorry.
I don't understand how to determine the apparent depth. We were never given anything like this problem in lecture or in homework. Could you explain that a little more in depth please?
Hello, first time poster. I'm in an optics class because I thought it would be fun, but I'm having a terrible time. And I didn't do so well on the first test. The second test is tomorrow and I want to do well on it. We were given a practice exam with 3 questions. I got two of them, but the third...