Thanks for your comments, Bob. It does my heart good to hear folks finally= talk about low level latching of mechanical oscillators. I spent the last= twenty years of my career (finally retiring fully this past spring from Mercer Universit= y) trying to understand subtleties of friction, especially the internal fri= ction type that derives from defects in solids. One of the first occasions for me to study magnetic levitation w= as about fifty years ago as a freshman physics major at the Univ. of Tennessee (in Prof. Oliver Thomson's laboratory). Aware of the pi= oneering work by Prof. Jesse Beams at the Univ. of Virginia, I built an ele= ctromagnet system with feedback involving output from an optical sensor --t= o levitate a steel ball bearing. I was amazed at the seeming absence of fr= iction influence on the ball for that system; even though my ball was suspe= nded in air. Professor Beams used to spin such a ball in a high vacuum by mean= s of an ever increasing frequency of an externally applied, rotating magnet= ic field. By this means he actually demonstrated a method to tear the bal= l apart. At some critical point, as the angular frequency was increased to= ward phenomenally high values, the centripetal forces of rotation became so= large that the steel ruptured. His method was also used to study diffusio= n of atoms in a metal, since a very large gradient could thus be establishe= d. His experiments were widely acclaimed, and the lab named in his honor i= s worth a visit at http://www.virginia.edu/webmap/popPages/76-PhysicsBldg_Jesse.html Suffice it to say, Beams could never have become famous for his pioneering = solid state physics contributions (ultracentrifuge work) if his magnetic fi= elds were exhibiting some kind of friction derived from magnetic hysteresis= .. Although his permanent magnets were probably an alloy of aluminum, nicke= l and cobalt (called alnico), there is little reason to believe that the ra= re earth types that have come along after his work-should show some bizarre physical property n= ot possible with alnico. Now about the matter of the other extreme-'low and slow' motions. My c= areer has been devoted to the intense study of internal friction in this re= gime. I've done more than most, when it comes to 'gravitational pendulums' outfitted with = a sensor that allows reasonable quantitative study of low level, long perio= d mechanical oscillators. I jokingly tell folks, it's because "when one ha= s only a hammer for a tool, everything looks like a nail". I became interested in the magnetic levitation case for the very reaso= n that you claim to be impossible; i.e., that the materials (whether PG pla= te or rare earth magnets, or both) must be afflicted with some presently unknown structural = property that gives rise to latching at low levels of small inertial mass o= scillators. I find no evidence from my system to support your claim, based on my invest= igations of the prototype that is described in the article that I mentioned= to this list serve. That paper does not show andy figures relevant to the regime being discusse= d, but just today I analyzed a record corresponding to noise in the output = from the covered instrument while it was 'undisturbed'. It is also worthy = of note that I had made a change to the instrument; i.e., decreased the gap= spacing between the PG plates and the upper electrode array-which increase= d the sensitivity by about ten fold. Whatever the nature of the ambient n= oise during this time, I have good reason (from other studies with my Volks= Meter under similar conditions) to believe that those noises are extremely = small and derive from low level surface motions of the Earth that are of co= mmon type, for places other than the truly 'quiet' places of our planet, as= sometimes noted by folks like Dr. Jon Berger at Scripps Inst., UCSD. So what was seen? At times, infinitesimal noise driven motion (visibl= e as a fairly sharp spectral line in the FFT ) at the characteristic period= of the instrument, about 0.6 s. The quality factor of the instrument appe= ars thus to be virtually unaffected by the amplitude of the motion; which m= eans there cannot be any latching of the type you indicated. My expectatio= n is that Chris Chapman's comment may be responsible for what you observed-= i.e., the presence of lint, hairs, or dust, interacting as a 'show stopper'= with your low mass oscillating member. I have seen this also to be true i= f I wasn't careful to eliminate such intruders. The mass of my plates is o= nly about 2 g, and so anything of the type Chris mentioned will 'lock it up= '. I was also very interested, Meredith, in your comments about the imp= ortance of shape irregularities in the PG plates. Indeed, you can see from= the photographs of my paper that my plates are (as you found) anything but= a smooth planar surface after the cleaving that I did. But one of the gre= atest features of my capacitive sensors is their relative immunity (compare= d to optical detectors) to such imperfections of construction. When I firs= t began years ago to work with crudely built components I was astonished at= this their property. So the possibility of this instrument serving as th= e basis for a useful, new type of seismograph-looks ever more promising to = me. Randall=Thanks for your = comments, Bob. It does my heart good to hear folks finally talk about= low level latching of mechanical oscillators. I spent the last twent= y years
of my career (finally retiring f= ully this past spring from Mercer University) trying to understand subtleti= es of friction, especially the internal friction type
that derives from defects in solids.
&nb= sp; One of the first occasions for me to study magnetic levitation was= about fifty years ago as a freshman physics major at the
Univ. of Tennessee (in Prof. Oliver Thomson’s labor= atory). Aware of the pioneering work by Prof. Jesse Beams at the Univ= .. of Virginia, I built an electromagnet system with feedback involving outp= ut from an optical sensor --to levitate a steel ball bearing. I was a= mazed at the seeming absence of friction influence on the ball for that sys= tem; even though my ball was suspended in air.
Professor Bea= ms used to spin such a ball in a high vacuum by means of an ever increasing= frequency of an externally applied, rotating magnetic field. B= y this means he actually demonstrated a method to tear the ball apart. = ; At some critical point, as the angular frequency was increased toward phe= nomenally high values, the centripetal forces of rotation became so large t= hat the steel ruptured. His method was also used to study diffusion o= f atoms in a metal, since a very large gradient could thus be established.&= nbsp; His experiments were widely acclaimed, and the lab named in his honor= is worth a visit at
http://www.virgi= nia.edu/webmap/popPages/76-PhysicsBldg_Jesse.html
Suffice it to say, Beams could never have become famous for h= is pioneering solid state physics contributions (ultracentrifuge work) if h= is magnetic fields were exhibiting some kind of friction derived from magne= tic hysteresis. Although his permanent magnets were probably an alloy= of aluminum, nickel and cobalt (called alnico), there is little reason to = believe that the rare earth types that
h= ave come along after his work—should show some bizarre physical prope= rty not possible with alnico.
&nb= sp; Now about the matter of the other extreme—‘low a= nd slow’ motions. My career has been devoted to the intense stu= dy of internal friction in this regime. I’ve done
more than most, when it comes to ‘g= ravitational pendulums’ outfitted with a sensor that allows reasonabl= e quantitative study of low level, long period mechanical oscillators. = ; I jokingly tell folks, it’s because “when one has only a hamm= er for a tool, everything looks like a nail”.
I became interested in the= magnetic levitation case for the very reason that you claim to be impossib= le; i.e., that the materials (whether PG plate or rare earth
=magnets, or both) must be afflicted with some presentl= y unknown structural property that gives rise to latching at low levels of = small inertial mass oscillators.
I find no evidence from my system to support your claim, based on my = investigations of the prototype that is described in the article that I men= tioned to this list serve.
That p= aper does not show andy figures relevant to the regime being discussed, but= just today I analyzed a record corresponding to noise in the output from t= he covered instrument while it was ‘undisturbed’. It is a= lso worthy of note that I had made a change to the instrument; i.e., decrea= sed the gap spacing between the PG plates and the upper electrode arrayR= 12;which increased the sensitivity by about ten fold. Whatever = the nature of the ambient noise during this time, I have good reason (from = other studies with my VolksMeter under similar conditions) to believe that = those noises are extremely small and derive from low level surface motions = of the Earth that are of common type, for places other than the truly ̵= 6;quiet’ places of our planet, as sometimes noted by folks like= Dr. Jon Berger at Scripps Inst., UCSD.
So what was seen? At times= , infinitesimal noise driven motion (visible as a fairly sharp spectral lin= e in the FFT ) at the characteristic period of the instrument, about 0.6 s.= The quality factor of the instrument appears thus to be virtually un= affected by the amplitude of the motion; which means there cannot be any la= tching of the type you indicated. My expectation is that Chris Chapma= n’s comment may be responsible for what you observed—i.e., the = presence of lint, hairs, or dust, interacting as a ‘show stopper̵= 7; with your low mass oscillating member. I have seen this also to be= true if I wasn’t careful to eliminate such intruders. The mass= of my plates is only about 2 g, and so anything of the type Chris mentione= d will ‘lock it up’.
I was also very inte= rested, Meredith, in your comments about the importance of shape irregulari= ties in the PG plates. Indeed, you can see from the photographs of my= paper that my plates are (as you found) anything but a smooth planar surfa= ce after the cleaving that I did. But one of the greatest features of= my capacitive sensors is their relative immunity (compared to optical dete= ctors) to such imperfections of construction. When I first began year= s ago to work with crudely built components I was astonished at this their = property. So the possibility of this instrument serving as the = basis for a useful, new type of seismograph—looks ever more promising= to me.
R= andall