Re: [Phys-L] Typing Math Equations in Email - the Pendulum!

[brian whatcott <betwys1@sbcglobal.net>]

I enjoy reading of Bernard's experiments with a pendulum. It is, I 
suppose, unfair to quote phrases from a pdf on this topic which he 
offered simply to show a method of displaying equations.

Still, I cannot suppose he would deliberately put up text that he would 
not support, so I am bold enough to say that several of his assertions 
appear (to me) to be self-contradictory. The ones in question,  I marked 
as 1) and 3)

I also have a difficulty with item marked 2).
I would like to paraphrase this as
...adding mass (to a pendulum) will reduce the amplitude at equilibrium 
for a given total or mean energy, and probably
for a constant input energy for that matter.

Numbered Excerpts from "Q in Mechanical Oscillators" (BC)

1) ... "the pendulum was stopped after each attainment of equilibrium 
and free decay, and an additional mass added. Note the amplitude 
decreased with increasing mass!"

2) ..."adding mass will not reduce the energy to maintain a given 
amplitude. "

3)..." I’ve shown experimentally, contrary to many’s intuition, that the 
mass of a pendulum’s bob does not significantly affect it’s driven 
equilibrium amplitude. "


I feel sure that Bernard can explain the apparent contradictions....

Brian Whatcott


On 4/4/2015 8:08 PM, Bernard Cleyet wrote:
> On 2015, Apr 04, , at 17:47, Peter Schoch <pschoch@fandm.edu> wrote:
>
> > I’m using a Mac, and Mail, and I can’t see the equations.
> >
> > I have MathType, and I find it works very well.  The best way to get cross compatibility, though, is to create the equation and then save it as an image file and embed it in the email.
>
> Yo también!
>
>
> bc’s example of math type may be seen here:
>
> (near end)
>
>
> http://www.cleyet.org/Pendula,%20Horological%20and%20Otherwise/Mass_amplitude_question/Q%3b%20Energy%20Stored%20vs.%20Dissipation%20corrected.pdf
>
>
> IIRC, I used MathType directly in Pages and exported to PDF.  I eschew Word, whenever possible.
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