| Topic: |
Science > Physics |
| User: |
"dedanoe" |
| Date: |
18 Apr 2007 07:06:09 AM |
| Object: |
IMBALANCE vs. ENERGY |
Imbalance vs. Energy
The 1st notion of Energy comes from the definition of Work: Work is
the change of Energy related with overcoming the Forces of resistance
on some Distance i.e. W = dE = FdDcos(a). So this Energy is scalar
product of Force & Distance as scalar. The 2nd notion of Energy comes
from the torque from where Energy is vector product of Force &
Distance i.e. E = F x D as vector. In any instance the imbalanced
weight (ordered array of Force & Distance) has them both Energies so
the problem is how to estimate the total Energy. From the very
beginning math has no way of summing scalar and vector thus Energy is
wrong description of the weight.
On the other side, Imbalance is norm of all the potential and actual
magnitudes in possession of the weight. For instance if the weight has
the potential Distance = Force F and potentially negative Force =
Distance D then Imbalance I = (+/-)Sqrt(Sqr(F) + Sqr(D)). Now the
static lever is given with: system {F = aF[1] + bF[2] and D = aD[2] +
bD[1]} so this lever has Global Imbalance I = (+/-)Sqrt(Sqr(a) +
Sqr(b)) * |F[1]D[1] - F[2]D[2]| which is zero if and only if
F[1]D[1]=F[2]D[2]. That is Archimedes' lever law thus Imbalance is
right description for the weight.
Conclusion: Imbalance beats Energy.
http://dedanoe.googlepages.com/home
.
|
|
|
Related Articles |
|
|
