Why don't you write your own? That's what I did fifty years ago for my dissertation. The site to which you referred appears to have the info. necessary.
bc used teletype punched tape on a PDP-8
The damping coefficient is s^-1 Rather convoluted to show. OTOH, note the equation for the position. X = A*exp(-dc*t)*cos(etc.) for the simple harmonic damped oscillator.
bc
If you're going to do more with oscillators (or waves) I recommend purchasing A. P. French's Vibrations and Waves It's inexpensive -- likely free down-loadable -- there are MIT lectures based on it.
bc
I suspect heating of the film may darken it. Ask your dentist for some film and try it. It has a Pb backing that, I suspect, must be removed.
TLD devices are read by heating, which releases the stored energy from the irradiation. A photo-sensitive device does the reading. This is how...
"... because the strong nuclear force which binds nucleons is so
much stronger than the Coulomb force which binds electrons to atoms,
the energies of gamma rays are much greater than the energies of
X-rays]."
I beg to differ slightly:
Similarly to the atomic shell model the nuclear admits...
drop the m in the RHS. Why did you use it? Also an atrctive force must be negative if you have it on the LHS.
the question implies it's an oscillator (under damped) this will only be true if beta is < 0.
Furthermore, the m's in the forces ar curious.
Since you solved it - I would...
Sorry not to have helped. I'm sure you know much more about theoretical and practical horology than I do.
Au contraire! You confirmed and did help.
bc more later?
P.W.!
Horologist have tried to increase the amplitude of a 'failing" clock by adding mass to the bob. I didn't believe a friend's claim the amplitude was independent of bob mass. So I reviewed the differential equation and solution. The m's cancelled. Then a friend gave me an...
I found via this forum the hint to use the inverse squared equation to differentiate to find the resonance frequency from the amplitude equation (equilibrium not transient solution). Thank you! (AlephZero?)
When substituting the resulting frequency for the resonance into the amplitude...