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| Tags: der, dirk, moortel, problem, van |
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#1
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Here is your problem, self-proclaimed relativity expert:
k m /\/\/\/\---O m is rest mass and k is a linear spring, massless in this case. The free end of the spring is atatched to a locally inertial frame a For example, in Newtonian mechanics, the equations are derived in one line as follows (for non-relativistic cases): F = dp/dt = -kx, in the case of an unforced oscillator the equation of motion is: md^2x/dt^2+kx = 0, x(t=0) = x0, dx/dt(t=0) = v0 Go ahead and write down the relativistic equation of motion according to GR. Assume v0/c = 0.9. Don't scream, shout or throw curses as usual. Hint: avoid just stating G = T. Come on Dork, show us what kind of expert you are. I will not ask you to solve the equations now. Maybe later. You are allowed to ask for help from other cranks in these groups, including your local priest, etc. NOTE: DO NOT BY ANY MEANS REFER TO NEWTON. Mike |
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#2
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Mike wrote: Here is your problem, self-proclaimed relativity expert: k m /\/\/\/\---O m is rest mass and k is a linear spring, massless in this case. The free end of the spring is atatched to a locally inertial frame a For example, in Newtonian mechanics, the equations are derived in one line as follows (for non-relativistic cases): F = dp/dt = -kx, in the case of an unforced oscillator the equation of motion is: md^2x/dt^2+kx = 0, x(t=0) = x0, dx/dt(t=0) = v0 Go ahead and write down the relativistic equation of motion according to GR. Assume v0/c = 0.9. Don't scream, shout or throw curses as usual. Hint: avoid just stating G = T. There is no gravity in that example, so exactly what is there for general relativity to explain? Come on Dork, show us what kind of expert you are. I will not ask you to solve the equations now. Maybe later. You are allowed to ask for help from other cranks in these groups, including your local priest, etc. NOTE: DO NOT BY ANY MEANS REFER TO NEWTON. That is extremely important in your example, since Newtonian mechanics makes a great many assumptions in order to arrive at a tractable differential equation and explains exactly nothing about the physics of the spring or why Hooke's law should apply. If anyone were to mention those shortcomings you would lose the advantage of creating a strawman to object to any approximations made for a relativistic case (assuming you manage to create an example that includes gravity). |
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#3
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"Mike" wrote in message ups.com... | Here is your problem, self-proclaimed relativity expert: | | k m | /\/\/\/\---O | | m is rest mass and k is a linear spring, massless in this case. The | free end of the spring is atatched to a locally inertial frame a | | For example, in Newtonian mechanics, the equations are derived in one | line as follows (for non-relativistic cases): F = dp/dt = -kx, in the | case of an unforced oscillator the equation of motion is: md^2x/dt^2+kx | = 0, x(t=0) = x0, dx/dt(t=0) = v0 | | Go ahead and write down the relativistic equation of motion according | to GR. Assume v0/c = 0.9. Don't scream, shout or throw curses as | usual. Hint: avoid just stating G = T. | | Come on Dork, show us what kind of expert you are. I will not ask you | to solve the equations now. Maybe later. | | You are allowed to ask for help from other cranks in these groups, | including your local priest, etc. | | NOTE: DO NOT BY ANY MEANS REFER TO NEWTON. | | | Mike http://users.telenet.be/vdmoortel/di...insEvents.html "So if T = 5 years and v = 0.8c, then the stay at home twin will have aged 10 years" -- Dork Van de progeria. And you want it to solve a problem? |
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#4
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#6
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Sorcerer wrote: "Mike" wrote in message ups.com... | Here is your problem, self-proclaimed relativity expert: | | k m | /\/\/\/\---O | | m is rest mass and k is a linear spring, massless in this case. The | free end of the spring is atatched to a locally inertial frame a | | For example, in Newtonian mechanics, the equations are derived in one | line as follows (for non-relativistic cases): F = dp/dt = -kx, in the | case of an unforced oscillator the equation of motion is: md^2x/dt^2+kx | = 0, x(t=0) = x0, dx/dt(t=0) = v0 | | Go ahead and write down the relativistic equation of motion according | to GR. Assume v0/c = 0.9. Don't scream, shout or throw curses as | usual. Hint: avoid just stating G = T. | | Come on Dork, show us what kind of expert you are. I will not ask you | to solve the equations now. Maybe later. | | You are allowed to ask for help from other cranks in these groups, | including your local priest, etc. | | NOTE: DO NOT BY ANY MEANS REFER TO NEWTON. | | | Mike http://users.telenet.be/vdmoortel/di...insEvents.html "So if T = 5 years and v = 0.8c, then the stay at home twin will have aged 10 years" -- Dork Van de progeria. And you want it to solve a problem? xxein: You can't even think your way off of the side of a piece of paper. !00% of posters think you are nuts. Just because half of them are idiots like you does not mean you have a 50% chance of being right or credible. |
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#7
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Sorcerer wrote: "Mike" wrote in message ups.com... | Here is your problem, self-proclaimed relativity expert: | | k m | /\/\/\/\---O | | m is rest mass and k is a linear spring, massless in this case. The | free end of the spring is atatched to a locally inertial frame a | | For example, in Newtonian mechanics, the equations are derived in one | line as follows (for non-relativistic cases): F = dp/dt = -kx, in the | case of an unforced oscillator the equation of motion is: md^2x/dt^2+kx | = 0, x(t=0) = x0, dx/dt(t=0) = v0 | | Go ahead and write down the relativistic equation of motion according | to GR. Assume v0/c = 0.9. Don't scream, shout or throw curses as | usual. Hint: avoid just stating G = T. | | Come on Dork, show us what kind of expert you are. I will not ask you | to solve the equations now. Maybe later. | | You are allowed to ask for help from other cranks in these groups, | including your local priest, etc. | | NOTE: DO NOT BY ANY MEANS REFER TO NEWTON. | | | Mike http://users.telenet.be/vdmoortel/di...insEvents.html "So if T = 5 years and v = 0.8c, then the stay at home twin will have aged 10 years" -- Dork Van de progeria. And you want it to solve a problem? xxein: You can't even think your way off of the side of a piece of paper. !00% of posters think you are nuts. Just because half of them are idiots like you does not mean you have a 50% chance of being right or credible. |
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#8
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On Mon, 11 Dec 2006 07:30:36 -0800, Mike wrote:
Here is your problem, self-proclaimed relativity expert: k m /\/\/\/\---O m is rest mass and k is a linear spring, massless in this case. The free end of the spring is atatched to a locally inertial frame a For example, in Newtonian mechanics, the equations are derived in one line as follows (for non-relativistic cases): F = dp/dt = -kx, in the case of an unforced oscillator the equation of motion is: md^2x/dt^2+kx = 0, x(t=0) = x0, dx/dt(t=0) = v0 Go ahead and write down the relativistic equation of motion according to GR. Assume v0/c = 0.9. Don't scream, shout or throw curses as usual. Hint: avoid just stating G = T. Come on Dork, show us what kind of expert you are. I will not ask you to solve the equations now. Maybe later. You are allowed to ask for help from other cranks in these groups, including your local priest, etc. NOTE: DO NOT BY ANY MEANS REFER TO NEWTON. Mike As you know but likely can't accept, SR and GR reduce to the classical limit for weak fields and slow moving objects. The equations for the spring on a mass are found by writing the Lagrangian for the mass point at the integral of the proper length of the mass world line. Add to this the proper length of the spring times k and one has the Lagrangian for the mass and the spring in free space. The constraint of attaching the free end of the spring must be imposed by adding a constraint to the variation that the free end of the spring is to follow a predefined geodesic curve. Perform the constrained variation and solve. Regards The |
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#9
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wrote in message ups.com... | | Sorcerer wrote: | "Mike" wrote in message ups.com... | | Here is your problem, self-proclaimed relativity expert: | | | | k m | | /\/\/\/\---O | | | | m is rest mass and k is a linear spring, massless in this case. The | | free end of the spring is atatched to a locally inertial frame a | | | | For example, in Newtonian mechanics, the equations are derived in one | | line as follows (for non-relativistic cases): F = dp/dt = -kx, in the | | case of an unforced oscillator the equation of motion is: md^2x/dt^2+kx | | = 0, x(t=0) = x0, dx/dt(t=0) = v0 | | | | Go ahead and write down the relativistic equation of motion according | | to GR. Assume v0/c = 0.9. Don't scream, shout or throw curses as | | usual. Hint: avoid just stating G = T. | | | | Come on Dork, show us what kind of expert you are. I will not ask you | | to solve the equations now. Maybe later. | | | | You are allowed to ask for help from other cranks in these groups, | | including your local priest, etc. | | | | NOTE: DO NOT BY ANY MEANS REFER TO NEWTON. | | | | | | Mike | | http://users.telenet.be/vdmoortel/di...insEvents.html | | "So if T = 5 years and v = 0.8c, then the stay at home twin will | have aged 10 years" -- Dork Van de progeria. | | And you want it to solve a problem? | | xxein: You can't even think your way off of the side of a piece of | paper. !00% of posters think you are nuts. Just because half of them | are idiots like you does not mean you have a 50% chance of being right | or credible. The entire !00%... You can't even find your way around a keyboard, as you've just proved, ****head. **** off, troll. |
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#10
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wrote in message ups.com... | | Sorcerer wrote: | "Mike" wrote in message ups.com... | | Here is your problem, self-proclaimed relativity expert: | | | | k m | | /\/\/\/\---O | | | | m is rest mass and k is a linear spring, massless in this case. The | | free end of the spring is atatched to a locally inertial frame a | | | | For example, in Newtonian mechanics, the equations are derived in one | | line as follows (for non-relativistic cases): F = dp/dt = -kx, in the | | case of an unforced oscillator the equation of motion is: md^2x/dt^2+kx | | = 0, x(t=0) = x0, dx/dt(t=0) = v0 | | | | Go ahead and write down the relativistic equation of motion according | | to GR. Assume v0/c = 0.9. Don't scream, shout or throw curses as | | usual. Hint: avoid just stating G = T. | | | | Come on Dork, show us what kind of expert you are. I will not ask you | | to solve the equations now. Maybe later. | | | | You are allowed to ask for help from other cranks in these groups, | | including your local priest, etc. | | | | NOTE: DO NOT BY ANY MEANS REFER TO NEWTON. | | | | | | Mike | | http://users.telenet.be/vdmoortel/di...insEvents.html | | "So if T = 5 years and v = 0.8c, then the stay at home twin will | have aged 10 years" -- Dork Van de progeria. | | And you want it to solve a problem? | | xxein: You can't even think your way off of the side of a piece of | paper. !00% of posters think you are nuts. Just because half of them | are idiots like you does not mean you have a 50% chance of being right | or credible. | Even repeats the same **** up... what !00%, ****head troll? |
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