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#11
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Jean DAVID wrote: I don't think that such string (inextensible) is physically impossible because relavity laws must be observed. Not because of relativity. Because an inextensible string is simply physically impossible. We can make shorter strings (or rods) that can resist a certain tension of pulling. Nope. The law governing the stretching or compressing (not breaking) of strings, rods, cables, I-beams, columns, etc., is (tension)/(cross-sectional area) = (material index)(change in length)/(original length). The only way (change in length) can be zero for a nonzero (tension) is if the stiffness parameter (material index) is infinite. There is no such beast, even theoretically. You'll also note that for a given (tension), the *ratio* (change in length)/(original length) is a constant. Thus, even if the (original length) is made short, you can never make the (change in length) zero. All of the above has nothing to do with relativity. *All* materials stretch or compress a little, even if just a tiny amount of force is applied. Those objects don't have to be perfectly rigid. I have supposed that the speed of unreeling of the string is small enough so not to create a big tension to break the string. The only difficulty I admit is the length of such string that we can product for the experience. You also said that speed of propagation in such a material is infinite, I really doubt so. Let's quell your doubts. Suppose you push in on one end of a metal bar, and the question is how fast the other end of the bar moves in response. How does the other end of the bar know that this end has been pushed at all? The only way is if that information gets passed atom to atom in the metal; that is, the first layer of atoms that gets pushed then pushes the next layer of atoms, which pushes the next layer of atoms, and so on. This propagation of the push to the other end of the rod is *precisely* the speed of sound in the metal. So for the other end to move instantaneously would require an infinite speed of propagation. What happens in a *real* metal bar if you bang on one end? The other end does not respond *at all* until the signal has propagated there, and this takes a finite amount of time. PD |
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#12
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"PD" wrote in message oups.com... Jean DAVID wrote: I don't think that such string (inextensible) is physically impossible because relavity laws must be observed. Not because of relativity. Because an inextensible string is simply physically impossible. We can make shorter strings (or rods) that can resist a certain tension of pulling. Nope. The law governing the stretching or compressing (not breaking) of strings, rods, cables, I-beams, columns, etc., is (tension)/(cross-sectional area) = (material index)(change in length)/(original length). The only way (change in length) can be zero for a nonzero (tension) is if the stiffness parameter (material index) is infinite. There is no such beast, even theoretically. You'll also note that for a given (tension), the *ratio* (change in length)/(original length) is a constant. Thus, even if the (original length) is made short, you can never make the (change in length) zero. All of the above has nothing to do with relativity. *All* materials stretch or compress a little, even if just a tiny amount of force is applied. Those objects don't have to be perfectly rigid. I have supposed that the speed of unreeling of the string is small enough so not to create a big tension to break the string. The only difficulty I admit is the length of such string that we can product for the experience. You also said that speed of propagation in such a material is infinite, I really doubt so. Let's quell your doubts. Suppose you push in on one end of a metal bar, and the question is how fast the other end of the bar moves in response. How does the other end of the bar know that this end has been pushed at all? The only way is if that information gets passed atom to atom in the metal; that is, the first layer of atoms that gets pushed then pushes the next layer of atoms, which pushes the next layer of atoms, and so on. This propagation of the push to the other end of the rod is *precisely* the speed of sound in the metal. So for the other end to move instantaneously would require an infinite speed of propagation. What happens in a *real* metal bar if you bang on one end? The other end does not respond *at all* until the signal has propagated there, and this takes a finite amount of time. I have been watching the cricket lately and seen their new super slow motion clips. When the ball hits the bat you can see it flex and produce a wave that travels though the bat and the batsman. Interestingly it sometimes does not actually flex - the ball turns the bat in the batsman's hands. Thanks Bill PD |
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#13
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Bill Hobba wrote: "PD" wrote in message oups.com... Jean DAVID wrote: I don't think that such string (inextensible) is physically impossible because relavity laws must be observed. Not because of relativity. Because an inextensible string is simply physically impossible. We can make shorter strings (or rods) that can resist a certain tension of pulling. Nope. The law governing the stretching or compressing (not breaking) of strings, rods, cables, I-beams, columns, etc., is (tension)/(cross-sectional area) = (material index)(change in length)/(original length). The only way (change in length) can be zero for a nonzero (tension) is if the stiffness parameter (material index) is infinite. There is no such beast, even theoretically. You'll also note that for a given (tension), the *ratio* (change in length)/(original length) is a constant. Thus, even if the (original length) is made short, you can never make the (change in length) zero. All of the above has nothing to do with relativity. *All* materials stretch or compress a little, even if just a tiny amount of force is applied. Those objects don't have to be perfectly rigid. I have supposed that the speed of unreeling of the string is small enough so not to create a big tension to break the string. The only difficulty I admit is the length of such string that we can product for the experience. You also said that speed of propagation in such a material is infinite, I really doubt so. Let's quell your doubts. Suppose you push in on one end of a metal bar, and the question is how fast the other end of the bar moves in response. How does the other end of the bar know that this end has been pushed at all? The only way is if that information gets passed atom to atom in the metal; that is, the first layer of atoms that gets pushed then pushes the next layer of atoms, which pushes the next layer of atoms, and so on. This propagation of the push to the other end of the rod is *precisely* the speed of sound in the metal. So for the other end to move instantaneously would require an infinite speed of propagation. What happens in a *real* metal bar if you bang on one end? The other end does not respond *at all* until the signal has propagated there, and this takes a finite amount of time. I have been watching the cricket lately and seen their new super slow motion clips. When the ball hits the bat you can see it flex and produce a wave that travels though the bat and the batsman. Interestingly it sometimes does not actually flex - the ball turns the bat in the batsman's hands. Thanks Bill The "sewer grate" puzzle in SR is related to this. PD |
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#14
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PD wrote: Bill Hobba wrote: "PD" wrote in message oups.com... Jean DAVID wrote: I don't think that such string (inextensible) is physically impossible because relavity laws must be observed. Not because of relativity. Because an inextensible string is simply physically impossible. We can make shorter strings (or rods) that can resist a certain tension of pulling. Nope. The law governing the stretching or compressing (not breaking) of strings, rods, cables, I-beams, columns, etc., is (tension)/(cross-sectional area) = (material index)(change in length)/(original length). The only way (change in length) can be zero for a nonzero (tension) is if the stiffness parameter (material index) is infinite. There is no such beast, even theoretically. You'll also note that for a given (tension), the *ratio* (change in length)/(original length) is a constant. Thus, even if the (original length) is made short, you can never make the (change in length) zero. All of the above has nothing to do with relativity. *All* materials stretch or compress a little, even if just a tiny amount of force is applied. Those objects don't have to be perfectly rigid. I have supposed that the speed of unreeling of the string is small enough so not to create a big tension to break the string. The only difficulty I admit is the length of such string that we can product for the experience. You also said that speed of propagation in such a material is infinite, I really doubt so. Let's quell your doubts. Suppose you push in on one end of a metal bar, and the question is how fast the other end of the bar moves in response. How does the other end of the bar know that this end has been pushed at all? The only way is if that information gets passed atom to atom in the metal; that is, the first layer of atoms that gets pushed then pushes the next layer of atoms, which pushes the next layer of atoms, and so on. This propagation of the push to the other end of the rod is *precisely* the speed of sound in the metal. So for the other end to move instantaneously would require an infinite speed of propagation. What happens in a *real* metal bar if you bang on one end? The other end does not respond *at all* until the signal has propagated there, and this takes a finite amount of time. I have been watching the cricket lately and seen their new super slow motion clips. When the ball hits the bat you can see it flex and produce a wave that travels though the bat and the batsman. Interestingly it sometimes does not actually flex - the ball turns the bat in the batsman's hands. Thanks Bill The "sewer grate" puzzle in SR is related to this. PD i don think is quite simple as you say if an electron from a higher potential function, call it EM, impinges an electron from say minu potential in a conductor, then it impinges again ta tha next atoms electron and so farther etc then all this at high speed near c but when an atom impinges tha same, then it only takes tha speed of sound how do ya like it? |
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