Recent content by relativespeak

dp/dt=0, d2p/dt2=0 so equil. occurs when w2=2kg, or when p=0. Is that right? And then how can I find which is stable/unstable?

Homework Statement Consider a bead of mass m sliding without friction on a wire that is bent in the shape of a parabola and is being spun with constant angular velocity w about its vertical axis. Use cylindrical polar coordinates and let the equation of the parabola be z = kp2. Write down the...

Homework Statement See thumbnail Homework Equations The Attempt at a Solution I'm not having trouble with the first part, just having trouble understanding why dQ is not exact but dS=dQ/T is. At first I was thinking that it had to do with the V in the dT part of the dQ...

Can someone tell me what I'm doing wrong with LaTex? I'm new to it and don't understand the problem with my code.

Homework Statement The entropy of an ideal paramagnet is given by S=S_{0}+CE^{2}, where E is the energy (which can be positive or negative) and C is a positive constant. Determine the equation for E as a function of T and sketch your result. Homework Equations [tex] \frac{1}{T}=\frac{\delta...

How can I find a numerical value for m without knowing the change in P? The change in U would then be U=ΔPΔV=mΔVΔV=m(ΔV)^2?

Homework Statement Imagine some helium in a cylinder with an initial volume of 1 litre and an initial pressure of 1 atm. Somehow, the helium is made to expand to a final volume of 3 litres, in such a way that its pressure rises in direct proportion to its volume. (b) Calculate the work done...

I'm fixing the code currently

Homework Statement Suppose the field inside a large piece of dielectric is \vec{E}_{0}, so that the electric displacement is \vec{D}_{0}=\epsilon_{0}\vec{E}+\vec{P}. a. Now a small spherical cavity is hollowed out of the material. Find the field at the center of the cavity in terms of...