Doesn't the Wien Law rely on the object being a black body? If the coffee could be considered a black body then this would be a relatively simple thing to figure out but that's where I'm stuck -- whether or not this can be accurately modeled as a black body!
I was thinking about this the other day and I wanted some other input on the matter. Cups of boiling water (I was thinking about coffee) give off gobs of IR radiation at both near and mid wavelengths. Could I think of a coffee mug as an approximate black body for IR radiation? The insulation of...
Homework Statement
Consider a translating and rotating rigid disk. As it movies, it just tips the top of a rod that is initially at rest. The puck sticks to the rod, forming a rigid body that looks like a
popsicle that after the collision moves on as one rigid body. I did the calculations to...
That's one of the dilemmas I encountered -- what happens to a driven, undamped oscillator. The amplitude can't grow larger than the length of the string so the other possibility seems to be a period that tends to infinity. I can't seem to grasp the fundamentals of this situation.
Homework Statement
Given a simple pendulum with a mass on the end and a massless string. The support point for the pendulum is moved laterally with an amplitude D at the resonant frequency. The damping is from the air and is considered viscous i.e. not turbulent. The difference between the...
I don't really know how to solve this equation. My first (and only) attempt at the solution is an integrating factor and that doesn't work. I'm not well versed in differential equations because I haven't gotten there yet in the math sequence.
Homework Statement
y'' + 9y' = cot(3t)
Homework Equations
The Attempt at a Solution
This is a linear second order ODE where y(t) and that's what I'm solving for. Can this be solved via an integrating factor or does the cot(3t) part make that invalid? Any help is appreciated.
Start with Gauss' Law. It will provide great insight by just looking at q(enclosed) for the different radii. Wisely choose your Gaussian surfaces (in this case cylinders) in order to maximize symmetries.
Homework Statement
What is \sum_{n=0}^{\infty}{\frac{1}{(2n)!}}?
Homework Equations
e^x = \sum_{n=0}^{\infty}{\frac{x^n}{n!}}
The Attempt at a Solution
I understand that the given series looks like the series for e^1 but I know that isn't the correct answer. The answer (without...
Your current would be counterclockwise. Lenz's Law states that this coil will attempt to fight the change in flux that is brought about when the B field is switched off. Since that original B field was pointed up, the current must be CCW to produce a B field in that same direction in an attempt...
Homework Statement
A car uniformly accelerates. Show an open door that slams shut will do so in simple harmonic motion.Homework Equations
The Attempt at a Solution
This seems more conceptual than mathematical. I considered using T = Ia but the problem is the torque would act on the pivot (point...