All Questions
Tagged with galilean-relativity forces
12 questions
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Why is force independent of frame of reference (inertial)
This question has been bugging me for quite some time, I have seen some explanations which are mathematical and don't make sense to me, most of them talk about Galilean relativity, but I am looking ...
- 45
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Forces that are invariant under Galilean spacetime rescaling $\mathbf x' = \lambda \mathbf x$, $t' = \lambda^2 t$
Consider a force of the form
$$
m \ddot{\mathbf x}(t) = -k\frac{\mathbf x(t) - \mathbf x_0}{|\mathbf x(t) - \mathbf x_0|^d}.
$$
For what values of $d$ is this force invariant under the Galilean ...
- 553
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Is Newton's laws formulated using laboratory time?
The second Newton's law can be written as (in SI units)
$$
\frac{d}{dt}\vec p = \vec F.
$$
Newton was considered Galilean transformations and the existence of a "absolute" time. Now suppose ...
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Galilean Symmetry of Newtonian Mechanics
So for the equations of motion to be symmetric about a transformation from $(t,x)$ to $(\tau, y)$, the following must be true (for Newtonian mechanics):
$$m \frac{d^2 x}{dt^2} = f \left( x, \frac{dx}{...
- 21
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Is Newton's law really invariant under Galilean transformation (for velocity-dependent Lorentz force)?
Consider the motion of a charged particle of charge $q$ and mass $m$ from two different inertial frames $S$ and $S'$ connected by Galilean transformation equation ${\vec r}'={\vec r}-{\vec V}t$. This ...
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Interaction forces always depend on positions only through the distance, therefore conservative?
Suppose that two point masses $A_1,A_2$ are in interaction with each other, resulting in forces $F_1$ (acted upon $A_1$) and $F_2$ (acted upon $A_2$). Let $\bf{x}_1$,$\bf{x}_2$ be their respective ...
- 404
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3
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Why is it that a vertically thrown ball will move horizontally if we are travelling in a non-inertial reference frame?
If I throw a ball vertically inside a moving train, there will be horizontal movement if the train accelerates/decelerates (ie is not an IRF) and no horizontal movement if it does not (ie is an IRF).
...
- 187
1
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1
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Galilei Invariance and Newton Third Law
Let's say we have a system of two point particles that can interact with each other by forces that are position and velocity dependent. The forces might or might not be derivable from a generalized ...
- 458
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1
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Question on force invariance under the Galilean Transformations (GT)
By the Galilean transformations, one can easily derive that two different inertial observers 1,2 always measure the same forces. That is:
$$ \textbf{F}_1 \ \left(\textbf{r}_1, \dot{\textbf{r}}_1,t_1\...
- 835
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1
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Does force definition depend on frame of reference?
Let’s assume we have 2 different observers. Observer 1 sits in space and observer 2 sits in a space lab which is in a free fall state toward the Earth. We further assume that observer 2 in the space ...
- 163
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How to prove that "all unaccelerated frames behave likely for all isolated bodies"? [closed]
Say in an unaccelerated frame "S" a "isolated body A" moves with constancy of velocity , can we predict mathematically that any other such body B will move with same velocity in that frame....
My ...
- 131
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3
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Why are forces independent from the frame of reference?
The following question occurred to me while reading a proof of the following statement:
If K is an inertial frame of reference, then a K’ frame of reference,
which is moving with a constant ...
- 79