Re: [Phys-l] Queston: simple pendulum lengthen suspension.

[Brian Whatcott <betwys1@sbcglobal.net>]

At 08:28 AM 3/19/2007, Phil Keller, you wrote:


> As for the case where the lengthening occurs at the extreme point (where v
> = 0), I don't see why the angular amplitude would be affected.  It would
> be like replacing the string with a longer string and then restarting the
> oscillations, but still from the same angle.  But the equilibrium speed
> would increase.
>
> Phil Keller
> 1st post to list -- hope it isn't gibberish :)


So pleasant to see a fresh metaphorical face.

I specified identical [displacement] amplitude  and others have
 specified reduced [angular] amplitude [i.e. the same presumption]
 simply to define their basis for drawing conclusions.

If you wish to define your assumption is to hold the prior angular
 amplitude  for a longer length of pendulum, then because the
stored energy is greater, it does indeed convert to a faster central
speed.

 But for me, it is the idea of pumping an oscillator or
garden swing to greater displacements that is illuminating.



Brian Whatcott    Altus OK    Eureka!