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Results tagged with newtonian-mechanics
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user 139
Newtonian mechanics discusses the movement of classical bodies under the influence of forces by applying Newton’s three laws. For more general concepts, use [classical-mechanics]. For Newton’s description of gravity, use [newtonian-gravity].
2
votes
Why does one experience a short pull in the wrong direction when a vehicle stops?
Perhaps it can be explained like this:
At a certain moment the train pilot releases the brake system. At that point the heavy mass of the train is released from a rather powerfull constraint and it's …
- 7,071
3
votes
1
answer
293
views
Potential that is proportional to distance
Does anybody know of a treatment of the case where a potential field is proportional to the distance, i.e. in 3 dimensions:
$$V(\vec{r}) ~\sim ~ |\vec{r}|~?$$
Essentially the question is: What are t …
- 7,071
3
votes
4
answers
116
views
A little question about $F_g = F_c$
It is already some time ago that I was fluent in classical mechanics.
I do not understand a certain detail in the formula $F_{grav.}=F_{centr.}$.
Probably I overlook something simple.
Suppose mass $m$ …
- 7,071
0
votes
Accepted
A little question about $F_g = F_c$
In continuation of the answer of Claudio Saspinksi:
Choosing M as the inertial frame of reference gives
$$\frac{GMm}{r^2} = m\omega^2 r \cdot \frac{M}{M+m}= m\omega^2 r
\cdot (1 - \frac{m}{M+m})$$ wh …
- 7,071
87
votes
Why does kinetic energy increase quadratically, not linearly, with speed?
The question is especially relevant from a didactical point of view because one has to learn to distingish between energy (work) and momentum (quantity of motion).
The kinematic property that is pro …
- 7,071
8
votes
3
answers
2k
views
How about an exact solution for the position of a planet as a function of time?
Recently I was surprised to discover that no exact solution for the position of a planet as a function of time exists. I am referring to the two-body problem in a gravitational field where Newtons law …
- 7,071