Recent content by philnow

Homework Statement Two identical undamped oscillators are coupled in such a way that the coupling force exerted on oscillator A is \alpha\frac{d^2x_a}{dt^2} and the coupling force exerted on oscillator B is \alpha\frac{d^2x_b}{dt^2} where \alpha is a coupling constant with magnitude less than...

Homework Statement I calculated T_o to be 1.27 seconds and "T_o"' to be 1.23 seconds, each representing a normal mode of oscillation. These are correct according to the text. Here is the question: what is the time interval between successive maximum possible amplitudes of one pendulum after...

Ux^2 + Uy^2... should equal C^2 What's the problem folks :(

That's a great question. As an undergrad in physics myself, my hunch is that it's because the pulley has no mass, so ma=0. In fact, most Atwood machine problems that I have seen have been very careful to include that the pulley indeed has no mass... as for the physical meaning, I too would be...

Hi! Even with the lower pulley accelerating, by balancing the forces on the bottom pulley, we see that the tension in the upper string must be 2T. However... this tension will be dependent on the acceleration of the masses. The three F=ma equations: 2T-mCg=mCaC T-mAg=mAaA T-mBg=mBaB...

Hi again. I'm assuming you meant without the lorentz factor, I think the that is only for S to S', and not vice versa. So using this, I'm getting Ux = C*sin / (1 + cv*cos/c^2) and Uy = C*cos / (1 + cv*cos/c^2) Once again, my algebra defeats me. This time it simplifies much better, though...

Ok that makes sense. But how does the Y component of the photon's velocity change from S' to S?

Homework Statement A photon moves at an angle theta with respect to the x' axis in the frame S'. Frame S' moves with speed v with respect to frame S (along the x' axis). Calculate the components of the photon's velocity in S and verify that it's speed is c.The Attempt at a Solution I break...

Homework Statement Hey all. The problem is to solve the double integral xy da where the constraints C is x^2 + y^2 = 1, with the change of variables x = u^2 - v^2 and y = 2uv The problem is applying the change of variables to the constraint unit circle. After the algebra I end up with...

Could I get a confirmation that this is indeed correct?

Well, I'm not sure what part of your post corresponds to the second paragraph >.< So does this integral look correct? Double integral from 0 to 4 and from 0 to 2pi (4-(x^2+y^2)/4)*r d(theta)dr = (4 - r/4)*r d(theta)dr

I can't seem to evaluate the integral using the "dydx" method, so I'm thinking this problem needs to be done using polar coordinates.

Thanks for the reply. If I wanted to set it up using polar coordinates (I haven't covered cylindrical coordinates yet) I would take r between 0 and 4, theta between 0 and 2pi, but over what function would I integrate?

Homework Statement Hi. I'm asked to find the volume of the solid bounded by the paraboloid 4z=x^2 + y^2 and the plane z=4 I have drawn the graph in 3D but I'm unsure of how to set up the integral. Also, how does one decide to use double integrals/triple integrals when finding volume?

Thank you so much, that made it very clear.