Long Bar and the Speed of Light

Appity
Messages
9
Reaction score
0
I was asked this today, and I cannot picture an answer. Say you had a long bar in a vacuum, billions of miles long. If a force was applied lengthwise on one end, would the other end immediately respond? Would reference frames matter in this instance? I know information cannot travel faster than the speed of light, and I have a basic understanding of special relatively, but i cannot picture what would happen in this case...
 
Physics news on Phys.org
There are lots of threads about this. Perhaps someone who participated in one of them can post a link.

The other end will not respond immediately. You will just create a mechanical wave that propagates at the speed of sound. (A longitudinal mechanical wave is, by definition, sound). If you hit it with a hammer that's moving faster than the speed of sound in that material, then you'll just break it and create a wave the propagates at the speed of sound.
 
I started reading a National Geographic article related to the Big Bang. It starts these statements: Gazing up at the stars at night, it’s easy to imagine that space goes on forever. But cosmologists know that the universe actually has limits. First, their best models indicate that space and time had a beginning, a subatomic point called a singularity. This point of intense heat and density rapidly ballooned outward. My first reaction was that this is a layman's approximation to...
Thread 'Dirac's integral for the energy-momentum of the gravitational field'
See Dirac's brief treatment of the energy-momentum pseudo-tensor in the attached picture. Dirac is presumably integrating eq. (31.2) over the 4D "hypercylinder" defined by ##T_1 \le x^0 \le T_2## and ##\mathbf{|x|} \le R##, where ##R## is sufficiently large to include all the matter-energy fields in the system. Then \begin{align} 0 &= \int_V \left[ ({t_\mu}^\nu + T_\mu^\nu)\sqrt{-g}\, \right]_{,\nu} d^4 x = \int_{\partial V} ({t_\mu}^\nu + T_\mu^\nu)\sqrt{-g} \, dS_\nu \nonumber\\ &= \left(...
In Philippe G. Ciarlet's book 'An introduction to differential geometry', He gives the integrability conditions of the differential equations like this: $$ \partial_{i} F_{lj}=L^p_{ij} F_{lp},\,\,\,F_{ij}(x_0)=F^0_{ij}. $$ The integrability conditions for the existence of a global solution ##F_{lj}## is: $$ R^i_{jkl}\equiv\partial_k L^i_{jl}-\partial_l L^i_{jk}+L^h_{jl} L^i_{hk}-L^h_{jk} L^i_{hl}=0 $$ Then from the equation: $$\nabla_b e_a= \Gamma^c_{ab} e_c$$ Using cartesian basis ## e_I...

Similar threads

Replies
93
Views
5K
Replies
10
Views
1K
Replies
8
Views
3K
Replies
6
Views
1K
Replies
11
Views
2K
Replies
26
Views
1K
Replies
5
Views
356
Replies
1
Views
2K
Back
Top