Homework Statement
WE have a thermally insulated metallic bar (from enviroment/surroundings) . It has a temperature of 0 ºC. At t=0 two thermal sources are applied at either end, the first being -10 ºC and the second being 10 ºC. Find the equation for the temperature along the bar T(x,t), in...
Mainly because the condition for minimum time to reach equilibrium is given by a critically damped system. If this is so then it must be shown in the homogenous equation.
The question is not phrased that way. I just wanted to make it clear that the initial impulse was given by gravity. The...
Homework Statement
You got a plate hanging from a spring (hookes law: k) with a viscous force acting on it, -bv.
If we place a mass on the plate, gravity will cause it to oscillate.
Prove that if we want the plate to oscillate as little as possible (Crticial damping, no?), then $$b=2m...
Background info (Not actual question): So I've been gone a week from university and I've missed a lot of content, one particular thing that boggles me is this new method to operate with vector magnitudes and their angles. The operations surprised me with the speed they were done. I did ask a...
I am slightly confused, my solution 1 has a counterclockwise current. You mention having the flux of the induced current go into the paper in the center of the first coil, so as to counteract the change in flux... but this would mean adding more magnetic field lines into the paper where they are...
Alright, I agree with everything you said! However, it still does not answer my question. You've seen my work, so you know I'm having trouble thinking of where the induced flux will go against the flux generated by the first coil. It does not seem to make sense to me that the second solution I...
Homework Statement
We have two coils of copper wire, drawn below. One has a battery connected to it. The other one has a galvonometer connected. If the coil with the voltage is moved closer as shown in the picture, with considerable velocity, what direction will the current induced on the other...
So I went ahead and did the problem yesterday, I believe it ended well. Didn't prove one part though, when I divide both sides by double sines and cosines, I don't check if it's less than 0. https://drive.google.com/open?id=0BxlGAHNyMIneeUpXWEluZWF0TEE
Hmm, yes I see what you mean. I'm really running out of ideas on how to operate. I guess I could try expanding the binomials, but that looks like a long and arduous task (one I am willing to do).