Ya, Norman. I do need to incorporate fringe benefits as well. If you happen to have your proposals easily at hand then that would be great. If not, don't worry about it.
The PhD is not necessarily in physics. In this particular case, we have a Biochemist, a Physicist, and a Materials...
So I have to put together a mock budget for a funding proposal. I am unsure, however, how much I need to pay the research assistants I will have working on the project. I also don't have a good idea of how much a professional with a PhD or master's would be paid to work on a project.
I...
Doe anyone have any actual research experience? Like the guys above said, what can you actually do with only a couple years of undergraduate education?
Hi guys,
This summer I am looking to get involved in research at my university. I am eager to go and meet with a professor to see if I can hold a position for him, but I am very intimidated and I sometimes feel like I don't know enough to contribute to a research team. I have been told...
Okay, so I think I figured out my problem. I was doing something wrong with the component form.
Here is what I got for my inertia tensor:
I_11 = 0
I_22 = (1/3)ml^2
I_33 = (1/3)ml^2
I_12 = I_21 = 0
I_13 = I_31 = 0
I_23 = I_32 = 0
So it looks something like this:
[..0...0.....0...]...
Homework Statement
A thin rod has mass M and length L. What is the moment of inertia tensor about the center of mass if placed along the x axis.
Homework Equations
I would write the inertia tensor in component notation, but I don't know how to use Latex.
The Attempt at a Solution...
I don't think it's an algebraic error. I have worked the problem through, once using endpoints x=0 and x=L and again using x=-L/2 and x=L/2 and I don't get the same answer.
In the case where I am going from 0 to L, I get that the energy is E=(n^2*h^2)/8mL^2, which is correct.
In the case...
Homework Statement
Find the energy of a particle of mass m in an infinite square well with one end at x=-L/2 and the other at x=L/2.
Homework Equations
Schrodinger Equation
The Attempt at a Solution
To save time, I won't type the solving of the differential equation which results...
Okay, so v dot u in the denominator will be zero, leaving just the 1. However, I'm still confused about u(perp) and u(para). Wouldn't u(perp) just be u and u(para) just be zero?
Homework Statement
One particle is shot in the x direction at speed u and a second is shot in the y direction at speed u as well. Show that the relative speed of one to the other is: u(2-(u/c)^2)^1/2.
Homework Equations
velocity addition: u = (u' +/- v)/(1 +/- u'*v)
Lorentz Trans...
Each of the spaceships are moving towards each other. So the ship that launches from x=0 is moving towards x=4 and vice versa. I am giving the coordinates as (x,t).
Homework Statement
Two rockets are sent off at t=0, one from x=0 and the other at x=4. The rocket leaving from x=0 is moving at .8c and the rocket leaving x=4 is moving at .2c. When the paths of the two rockets meet, they send a light signal to x=0. Read off the coordinates in the S frame...
Homework Statement
Sketch the elliptical and hyperbolic orbits two objects make around each other if their masses are equal. Next to each, sketch the equivalent one-body orbit.
Homework Equations
The Attempt at a Solution
For the elliptical orbit, I just drew two ellipses that...
Okay, thank you. That is what I was looking for. I just wasn't sure if I had to treat my r' as another variable or if I could consider it to be constant with the 2c. Thanks very much.
Homework Statement
z = cr^2
Homework Equations
The Attempt at a Solution
I have a pretty simple question. What is the second derivative of the z equation.
I know that z' = 2crr'.
Am I correct to say that z'' = 2cr'^2 or is it something else?
Hopefully my question...
So I still don't see what the point of finding this equation was. I was able to find the Lagrangian and go through and solve for the equation of motion all without having this equation.
Homework Statement
A simple pendulum has a mass M attached at the end of a massless rod of length L. Find the force of constraint the rod exerts on the bob.
Homework Equations
The Attempt at a Solution
It seems easy enough that the mass is constrained by the tension the rod...
Homework Statement
A star is moving in a circular orbit of radius r within a galaxy. What is it's orbital speed
v(r) as a function of \rho(r) and radius.
The galaxy is spherically symmetric with a mean density \rho(r) and radius R.
Homework Equations
F =...
What I'm saying is:
x(t) = Ge^(i\phi)
x(t) = G[cos(\omegat - \delta) + i*sin(\omegat - \delta)
Then taking only the real part of this:
x(t) = Gcos(\omegat - \delta).
From here, I can compare to the given solution of x(t) = Dcos(\omegat - \delta) and say that G = D.
Does this...
Homework Statement
Show that the solution x(t) = Ge^(iwt), where G is in general complex, can be written in the form x(t) = Dcos(wt - \delta).
D(w) and \delta(w) are real functions of w.
Homework Equations
z = Ae^(i\phi)
The Attempt at a Solution
So I know I should start by...
Homework Statement
The oscillator is driven by a force F(t) = mAcos(wt). Plot the amplitude D of oscillations, in units of the maximum (resonant) amplitude D(max), as a function of w in units of w_0. (In other words, plot D/D(max) versus w/w_0.) Find Q.
\beta=(1/6)w_0
Homework...
So first of all, the equation is delta Y = (Vo_y)*t + (1/2)(-9.8)t^2.
It should not be a minus negative 4.9. You also left off the t^2.
Also, your equation for delta x should be cos(36) not sin(36).
That is the correct equation for the x component of motion.
However, the reason your getting stuck is because you need another equation so that you can eliminate the unknown variable time.
This is where the y component of the motion will come in. Do this like you did to find the x component...
Think about it. The two cars are basically going through the same process. Each starts from rest and begins accelerating. The same equation will apply to both cars. The only difference is when each car starts. Think about how you can write the kinematic equation for the second car relative...
Okay, I see it now. Ya, I forgot n=4. I see what you mean about only having 5 answers because when n=5 it just cycles back around to (1/5)*pi.
Thank you so much for your patience. I'm sure this was very frustrating for you.
Actually it's neither of those. Since I don't know how to do this, I can't just look at an equation and know how to navigate my way to the final answer.
Yes, I see your equation: (r^5)(e^(i*5*theta))=-1
This works when r=1 and theta=pi so this is one solution.
This also works when r=-1...
Okay, thanks for the explanation diazona. However, let me show you my thought process.
So I have already found that when theta=pi, 3pi, 5pi, 7pi, ... ; e^(i*theta) will equal -1.
I also think that the only possible value for r is 1.
So then you say I need to find what complex numbers when...
So:
-1 + i*0 = cos(x) + i*sin(x)
Therefore:
cos(x) = -1
sin(x) = 0
To satisfy both these conditions, X can be any odd integer multiple of pi.
cos(n*pi) = -1 for n= 1, 3, 5, 7, ...
sin(n*pi) = 0 for n= 1, 3, 5, 7, ...
I don't see how there can be a single specific answer.
I...
Ya, I know. That was the hint I was given. However, I don't know exactly how to apply it in this situation. How do I get five roots from that equation?
Homework Statement
Z^5 = -1
What are the five roots?
Homework Equations
The Attempt at a Solution
I do not know how to start this problem. I am given a hint to put -1 into the form Ae^(i*delta), but I am unsure as to how I can do that. Any help would be much appreciated.
Actually, I think I might have something.
Euler's formula says: e^(i*phi) = cos(phi) + i*sin(phi)
The real part of this is: Re(e^(i*phi)) = cos(phi).
Therefore, the real part of Be^(i*phi) is: Bcos(phi).
So I have: X = Bcos(phi) and X = Acos(wt + delta)
Am I able to...
Homework Statement
If x= Acos(\omegat + \delta), then one can also write it as x = Re(Be^{i\Phi}). Find B and \Phi in terms of A, \omega, and \delta if B is real.
Homework Equations
The Attempt at a Solution
Not sure where to start on this one. I know you guys can't give...
I usually make sure that I can work through every example that is in the textbook on my own. A lot of times, a professor will use an example from straight out of the book or use a slight variation of the example. Other than that, I use the first test of the semester to gauge how he/she asks...
Find all the forces acting on block 1 and set that equal to m1a. Then find all the forces acting on block two and set that equal to m2a. Then by solving for T, you can get the equation down to one variable and solve for m1.
You need to set up an equation of motion for block one and block two separately. You can also use the fact that the tension in the rope attached to block 1 is equal to the tension in the rope attached to block 2. Then you can solve for m1.
This does not even require any work. Just use dimensional analysis. First figure out what the units of angular acceleration are. Since you know what the units of time are, figure out which choice yields units of seconds.