Ron Baker, Pluralitas! wrote:
> Hein ten Horn wrote:
>> Ron Baker, Pluralitas! wrote:
>>> Hein ten Horn wrote:

>>>> As a matter of fact the resulting force (the resultant) is
>>>> fully determining the change of the velocity (vector) of
>>>> the element.
>>>> The resulting force on our element is changing at the
>>>> frequency of 222 Hz, so the matter is vibrating at the
>>>> one and only 222 Hz.
>>>
>>> Your idea of frequency is informal and leaves out
>>> essential aspects of how physical systems work.
>>
>> Nonsense. Mechanical oscillations are fully determined by
>> forces acting on the vibrating mass. Both mass and resulting force
>> determine the frequency. It's just a matter of applying the laws of
>> physics.
>
> You don't know the laws of physics or how to apply them.

I'm not understood. So, back to basics.
Take a simple harmonic oscillation of a mass m, then
x(t) = A*sin(2*pi*f*t)
v(t) = d(x(t))/dt = 2*pi*f*A*cos(2*pi*f*t)
a(t) = d(v(t))/dt = -(2*pi*f)^2*A*sin(2*pi*f*t)
hence
a(t) = -(2*pi*f)^2*x(t)
and, applying Newton's second law,
Fres(t) = -m*(2*pi*f)^2*x(t)
or
f = ( -Fres(t) / m / x(t) )^0.5 / (2pi).

So my statements above, in which we have
a relatively slow varying amplitude (4 Hz),
are fundamentally spoken valid.
Calling someone an idiot is a weak scientific argument.
Hard words break no bones, yet deflate creditability.

gr, Hein