You're right that's more likely what he was referring to: the OP thought was suggesting there would be another force acting on the tires to cause friction as in an equilibrium case
Let's see if Shyan ever clarifies
Trying to make a comparison using data taken at the same velocity is somewhat involved. It is a lot easier to plot distance versus time and compare the graphs (see attachment). As you can see the RS4 is consistently ahead of the EVO even if their accelerations compare differently along the...
I guess by "another force" you meant the opposite force that has to exist because of Newton's 3rd law; this is not causing the centripetal force though, forces simply exist in pairs. In any case this force is the force the tires exert on the road (in an inertial frame) and it is obviously not...
It is easier to see what's going on by calculating q(r) for r<R, this goes as r^2; the problem is really that density in a radial variable is not such an intuitive quantity
This is somewhat correct:
1) the divergence of
\vec A = A\frac {\hat r}{r^2}
is zero NEARLY everywhere and the 'nearly' is very important because the integral of this divergence over a volume including the origin is not zero. Using distribution theory you would write
div( A\frac {\hat...
Hi Neel
it is fairly simple to see what happens in the specific case of two generic point charges. Place the reference in the midpoint with both charges on the x-axis (say a and -a are the abscissae of the charges). Consider the path going from one charge to the other along the x-axis. The...
Hi tiny-tim,
I am not really following your line of reasoning:
- Euler force cannot be expressed as a gradient (F.ds is not a closed differential form) so it cannot be conservative. Even in the simple OP case, the CM frame rotating with the masses will experience angular acceleration (e.g...
Hi tharchin,
I don't have the book at hand but he is probably just talking of a Taylor expansion of the integrand
L(q+\delta q, \dot q + \delta \dot q, t ) = L(q, \dot q, t ) + \frac{\partial L}{\partial q}\delta q +\frac{\partial L}{\partial \dot q}\delta \dot q
Hello vodka,
interesting question, from what I gathered I would say that only the centrifugal force is strictly conservative (can be expressed as a gradient), neither Coriolis nor Euler fictitious forces appear to be conservative: the first depends on velocity, the second does not create a...
If you want to get high voltage w/o too much work you can try an ionizer, these days you find them a bit everywhere, e.g. air filters, hair driers. Just make sure you know what you are doing before messing around with them.
If you want to go big and do not mind the work, van der Graaf is your...
I guess we are talking matrices in 3-dim and you are referring to the sum of the determinants of the diagonal minors of order 2. What do you mean by why? Isn't it enough that they are coefficient of the characteristic polynomial?
You can also specifically prove to yourself that this quantity...
Interesting result, I guess in the second case you can still get electromagnetic field to carry away energy and momentum but I doubt that can account for that much. A more likely contributor could be Eddy currents in conductors, were the puck conductive or moving over a conductive surface?
More simply a non-holonomic costraint is any constraint that cannot be reduced (e.g. by integration) to an holonomic one; in general it will be a function of coordinates, momenta and time.