This shows why a moving coil cartridge with its higher mass is a dumb idea but what does this have to do with acoustic suspension loudspeakers/
BTW, this is not the whole equation, it's the high school physics version and without the rest of it it's useless.
Here's the whole thing;
F(t)=ma + bv + kx
where F(t) is the position of an object as a function of time, m= moving mass, a=acceleration, b=damping factor (velocity dependent frictional loss), v= velocity, k= spring costant, and x= displacement.
You can see immediately the advantage an acoustic suspension speaker has over a ported design. For an AS speaker, k is NOT frequency dependent. It dependes only on the compression and rarifiaction of air trapped inside. The ideal gas laws which applies virtually in tact (Boyle's and Charles' laws) include P1*V1=P2*V2 where P is pressure and V is volume. (F force = pressure* area.) As the volume of air increases or decreases the pressure inside changes inversely and proportionally. The restoring force is the pressure difference between the inside of the box and outside of the box times the area. What's more it is applied uniformly over the entire surface of the cone. This eliminates differences in restoring force from the center spider to the outer surround which would tend to shear the cone and difference along the inner and outer circumference that would tend to twist the cone. Speakers relying on mechanically restoring the cone to its neutral position work against a force applied by the spider and surround that is not uniform with frequency and a column of air that has little resistance to air flow at its resonant frequency and its exact multiples and very high resistance at points halfway inbetween. The FR of a ported system is therefore very irregular with high Q at resonance and a falloff below resonance of 24 db per octave. The woofer/enclosure resonance freuency is therefore the systems practical lower limit. AS designs can be equalized flat for up to 2 or more octaves below resonance. The stuffing inside an AS design forces the speaker to work to push and pull air between the spaces between the fibers. These fibers create an enormous surface area and control b by virtue of their aerodyamic drag which is how they create the damping factor. By controlling b vis a v k and m, the FR can be tuned to any F3 desired. This is invariably done by trial and error. As stuffing is increased to increase b, the volume of are displaced works to increase k as the same time so there is a tradeoff. The speaker generally has a characteristic of low F3 (wherever you want it), response to whatever Q you want, and does not have nearly the same tendency to cone breakup and resulting harmonic distortion as ported designs. The price that's paid is efficiency. In 1960 an amplifier that could produce 25 wpc rms or more at 30 hz was an expensive amplifier. Today 150 wpc rms can be a very inexpensive amplifier unless you listen to the advertising claptrap of high end amplifier designers. But if you want to plunk down money for a Krell or Bryston it's your money.
I could not quickly find a good presentation of this law explaining how tuning mbk affects frequency response for damped oscillation. At the bottom of this link there's an explanation with a graph showing that the resonant peak decreases with increasing b. BTW; v (velocity) is dx/dt and a (acceleration) is d2x/dt2. (these are the first and second time based derivitives of position versus time.) Most textbooks give an approximate solution indicating the center of the resonant frequency and q based on the values of mb and k. One problem is that as you add stuffing to the box to increase b, you are displacing air which increases k, the trapped air's springiness at the same time so it's a tradeoff for a given box size and cone mass.
http://www.calpoly.edu/~rbrown/Oscillations.pdf
It was interesting that Villchur didn't understand that this is why his invention works. He thought it had something to do with thermodynamnics. While the system of course does not violate any physical laws including those of thermodynamics, that law is not useful in explaining how this system operates. A small amount of energy is lost heating the fibers in the stuffing but this is insignificant compared to the energly lost to I2R heating of the voice coil.