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| Tags: problem, rigid, rod |
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#11
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#12
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wrote in message ... On Fri, 19 Aug 2005 16:27:39 GMT, "Dirk Van de moortel" wrote: wrote in message ... This problem is a combination of several problems I've posted in this group. When I combine the problems, the answers given to me in previous posts don't work. Here's the problem. Another everyday experience problem with 300000 km long rigid rods, I presume? http://users.pandora.be/vdmoortel/di.../Everyday.html Dirk, the link you posted has pandora.be in it, from which I infer refers to a country different than the United States of America. So I'm guessing English is not your native language. If you carefully read my sentence that you refer to in the above link, you will see that I stated that the 300000 km length IS NOT part of my everyday experience. Sure. I *had* carefully read your sentence and I understood it just the way you had intended it. It was one of the funniest things you ever wrote on this group. In order for you not to think that I had misunderstood you line, I now have put emphasis on the entire sentence: | "Other than the rod being light-years in length, the parameters are | values that occur in our daily experience." You can check it at: http://users.pandora.be/vdmoortel/di.../Everyday.html Hope this helps! Dirk Vdm If you carefully read what I posted, you will see that the sentence begins with the word "Other". "Other" when used in this context means "with the exception of". The meaning of the sentence I posted is that the 300000 km length IS NOT in my everyday experience, but the 3 meter per second velocity is in my everyday experience, and the accleration from 0 to 3 meters per second in 0.1 seconds is in my everyday experience. There are some good dictionaries available online http://www.m-w. com for example. If you look up the definition of "other" you will see that first definition is "being the one not included" So in everyday English as used in the USA, the sentence I posted means that the 300000 km rod is the parameter that is NOT part of my everyday experience. Hope that helps you're understanding of this common English usage. David [snip unread] Please note: If you don't know the physics answer, please feel free to put up a post that includes personal attacks of my intelligence and education. That's the approach used by the vast majority of the people on the planet when they can't logically explain something, so why should you be different? Besides, your peers may join in giving each of you mutual support. Was I right? Dirk Vdm |
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On Mon, 22 Aug 2005 15:48:25 +0000 (UTC), bz
wrote: wrote in : On Sat, 20 Aug 2005 22:55:42 +0000 (UTC), bz wrote: wrote in : On Fri, 19 Aug 2005 15:07:03 +0000 (UTC), bz wrote: wrote in news:4305d0b7.540887@news- server.austin.rr.com: This problem is a combination of several problems I've posted in this group. When I combine the problems, the answers given to me in previous posts don't work. Here's the problem. I have two frames which I will call the stationary frame and the moving frame. Their relative velocity is 0.866 c. In the stationary frame, parallel to the x-axis there is a rod and a rotating cylinder. The end points of the rod and the rotating cylinder are at the same x coordinates. The diameter of the cylinder is 10 meters and the cylinder is rotating at 10 revolutions per second. As measured in the moving frame, let the length of the rod and the length of the rotating cylinder be 1 light-second. At time t0 as measured in the moving frame, each point of the rod is simultaneously attached to the surface of the rotating cylinder. (Assume the rod is made of a material that is very malleable). As viewed in the stationary frame, one end of the rod was attached to the rotating cylinder 1.73 seconds before the other end. Ok. That means that the rod wrapped around the cylinder about 17 times in a spiral pattern. Nope. From the stationary frame, the rod was rotating along with the line drawn straight along the surface of the cylinder drawn by a laser level device before the rod was ever joined to the cylinder. No. The rod develops a rotation because it is attached to the rotating cylinder. Prior to being attached, the rod is not rotating and has zero velocity wrt to the longitudinal axis of the cylinder. You have a slight problem. you said: In the stationary frame, parallel to the x-axis there is a rod and a rotating cylinder. The end points of the rod and the rotating cylinder are at the same x coordinates. The diameter of the cylinder is 10 meters and the cylinder is rotating at 10 revolutions per second. That puts one end of the rod and some [poorly specified] point on the rotating cylinder at the same point. If I assume the point is on the circumference of the cylinder rather than the center of the cylender [that would make for all kinds of problems] then you have infinite acceleration of the rod at the moment of attachment. Only if the rod is already in motion, can it be attached to the cylinder. No. The circumference of the rotating cylinder is about 31 meters. At 10 revolutions per second, the surface of the cylinder is moving at about 310 meters / second. Let's say the cylinder contains an extremely powerful electromagnet, and the rod is steel. When the magnet is turned on, if the force is strong enough, the magnet will keep the rod attached to the rotating cylinder. There are thousands of ways to do this attachment. Surely, you agree that if the rotation speed is very low, say 0.001 revolutions per second, there would be no problem attaching the rod to the cylinder - you can do this experiment with short rod segments. I only picked 10 revolutions per second so that its easier to envision the rod spiraled completely around the cylinder as opposed to spiraled over a very small angle. David delta v / delta t = acceleration. Okay, I see what you are saying, I think. I think you are saying because I said the attachment for each point of the rod takes place at the same time, t0, you think that means delta t = 0. I guess, I should have been more precise and pedantic. Let's do that and say the acceleration time for the rod to equal the rotational speed of the surface of the rotating rod is 0.1 second and the acceleration starts at each point at time t0 as measured in the moving frame. David you have a finite change in velocity (delta v) taking place in zero time (delta t). This gives infinite acceleration. Only if the rod is already in motion, can it be attached to the cylinder. The stationary observer is intellegent enough to realize that light moves in a straight line[in the rotating FoR] and that the optical delusion of a 17 times wrap is exactly that. .... When I look at myself in a funhouse mirror, I know that I really do NOT get long and thin or short and fat. When I look at something in another FoR, I know that things look different from that FoR. -- bz please pardon my infinite ignorance, the set-of-things-I-do-not-know is an infinite set. remove ch100-5 to avoid spam trap |
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On Mon, 22 Aug 2005 16:19:22 GMT, "Dirk Van de moortel"
wrote: wrote in message ... On Fri, 19 Aug 2005 16:27:39 GMT, "Dirk Van de moortel" wrote: wrote in message ... This problem is a combination of several problems I've posted in this group. When I combine the problems, the answers given to me in previous posts don't work. Here's the problem. Another everyday experience problem with 300000 km long rigid rods, I presume? http://users.pandora.be/vdmoortel/di.../Everyday.html Dirk, the link you posted has pandora.be in it, from which I infer refers to a country different than the United States of America. So I'm guessing English is not your native language. If you carefully read my sentence that you refer to in the above link, you will see that I stated that the 300000 km length IS NOT part of my everyday experience. Sure. I *had* carefully read your sentence and I understood it just the way you had intended it. It was one of the funniest things you ever wrote on this group. Well, with the velocity being only 3 meters / second, and the acceleration being only 1 g, I can experience how objects change (on a local level) when they move from one reference frame to another. For example, some posters in this group believe if the rod is made long enough, a person holding one end of the rod will be accelerated to a velocity approaching the speed of light. But with parameters like 3 meters / second and a 1 g acceleration it is easy for me to see that that notion is incorrect. You may think of that as being "an immortal fumble of David Seppala" but actually it helps me understand things easier. You're not one of those people who think one end of the rod travels at a speed close to the speed of light when it is placed on a conveyer belt moving at 3 meters / second, are you? Or is that why you label my approach as an immortal fumble? David In order for you not to think that I had misunderstood you line, I now have put emphasis on the entire sentence: | "Other than the rod being light-years in length, the parameters are | values that occur in our daily experience." You can check it at: http://users.pandora.be/vdmoortel/di.../Everyday.html Hope this helps! Dirk Vdm If you carefully read what I posted, you will see that the sentence begins with the word "Other". "Other" when used in this context means "with the exception of". The meaning of the sentence I posted is that the 300000 km length IS NOT in my everyday experience, but the 3 meter per second velocity is in my everyday experience, and the accleration from 0 to 3 meters per second in 0.1 seconds is in my everyday experience. There are some good dictionaries available online http://www.m-w. com for example. If you look up the definition of "other" you will see that first definition is "being the one not included" So in everyday English as used in the USA, the sentence I posted means that the 300000 km rod is the parameter that is NOT part of my everyday experience. Hope that helps you're understanding of this common English usage. David [snip unread] Please note: If you don't know the physics answer, please feel free to put up a post that includes personal attacks of my intelligence and education. That's the approach used by the vast majority of the people on the planet when they can't logically explain something, so why should you be different? Besides, your peers may join in giving each of you mutual support. Was I right? Dirk Vdm |
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#16
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On Tue, 23 Aug 2005 09:41:49 +0000 (UTC), bz
wrote: wrote in : On Mon, 22 Aug 2005 15:48:25 +0000 (UTC), bz wrote: wrote in : On Sat, 20 Aug 2005 22:55:42 +0000 (UTC), bz wrote: wrote in : On Fri, 19 Aug 2005 15:07:03 +0000 (UTC), bz wrote: wrote in news:4305d0b7.540887@news- server.austin.rr.com: This problem is a combination of several problems I've posted in this group. When I combine the problems, the answers given to me in previous posts don't work. Here's the problem. I have two frames which I will call the stationary frame and the moving frame. Their relative velocity is 0.866 c. In the stationary frame, parallel to the x-axis there is a rod and a rotating cylinder. The end points of the rod and the rotating cylinder are at the same x coordinates. The diameter of the cylinder is 10 meters and the cylinder is rotating at 10 revolutions per second. As measured in the moving frame, let the length of the rod and the length of the rotating cylinder be 1 light-second. At time t0 as measured in the moving frame, each point of the rod is simultaneously attached to the surface of the rotating cylinder. (Assume the rod is made of a material that is very malleable). As viewed in the stationary frame, one end of the rod was attached to the rotating cylinder 1.73 seconds before the other end. Ok. That means that the rod wrapped around the cylinder about 17 times in a spiral pattern. Nope. From the stationary frame, the rod was rotating along with the line drawn straight along the surface of the cylinder drawn by a laser level device before the rod was ever joined to the cylinder. No. The rod develops a rotation because it is attached to the rotating cylinder. Prior to being attached, the rod is not rotating and has zero velocity wrt to the longitudinal axis of the cylinder. You have a slight problem. you said: In the stationary frame, parallel to the x-axis there is a rod and a rotating cylinder. The end points of the rod and the rotating cylinder are at the same x coordinates. The diameter of the cylinder is 10 meters and the cylinder is rotating at 10 revolutions per second. That puts one end of the rod and some [poorly specified] point on the rotating cylinder at the same point. If I assume the point is on the circumference of the cylinder rather than the center of the cylender [that would make for all kinds of problems] then you have infinite acceleration of the rod at the moment of attachment. Only if the rod is already in motion, can it be attached to the cylinder. No. The circumference of the rotating cylinder is about 31 meters. At 10 revolutions per second, the surface of the cylinder is moving at about 310 meters / second. Let's say the cylinder contains an extremely powerful electromagnet, and the rod is steel. When the magnet is turned on, if the force is strong enough, the magnet will keep the rod attached to the rotating cylinder. There are thousands of ways to do this attachment. Surely, you agree that if the rotation speed is very low, say 0.001 revolutions per second, there would be no problem attaching the rod to the cylinder - you can do this experiment with short rod segments. I only picked 10 revolutions per second so that its easier to envision the rod spiraled completely around the cylinder as opposed to spiraled over a very small angle. David delta v / delta t = acceleration. Okay, I see what you are saying, I think. I think you are saying because I said the attachment for each point of the rod takes place at the same time, t0, you think that means delta t = 0. I guess, I should have been more precise and pedantic. Let's do that and say the acceleration time for the rod to equal the rotational speed of the surface of the rotating rod is 0.1 second and the acceleration starts at each point at time t0 as measured in the moving frame. David ok. So now, we, like the viewer of a reflection in a funhouse mirror, see an optical illusion as we see the 0.1 second moment move away from us [presumably we have a very powerful telescope with zoom capability that has been programmed to focus on that moment, as it appears to move away from us. We see the optical equivalent of a thunder roll, as the sound from different portions of the path reach our ears. We recognize that sight and sound can be missleading and that no wrapping actually occurs. Wrapping actually does occur. In the rest frame of the rod and of the rotating cylinder, we are attaching one end of the rod to the cylinder a second before we attach the other end. The cylinder rotates 10 times before the other end is attached. Since the speeds are everyday values can actually do this experiment over a much shorter length. The short rod will attach to the short segment of the rotating disk, and if we attach one end at a different time then we attach the other end (the stationary frame view), the attached rod will spiral about the cylinder. In the problem I posted because of the lengths involved the spiral and wrapping occur over large distances, but it still occurs. David you have a finite change in velocity (delta v) taking place in zero time (delta t). This gives infinite acceleration. Only if the rod is already in motion, can it be attached to the cylinder. The stationary observer is intellegent enough to realize that light moves in a straight line[in the rotating FoR] and that the optical delusion of a 17 times wrap is exactly that. .... When I look at myself in a funhouse mirror, I know that I really do NOT get long and thin or short and fat. When I look at something in another FoR, I know that things look different from that FoR. -- bz please pardon my infinite ignorance, the set-of-things-I-do-not-know is an infinite set. remove ch100-5 to avoid spam trap -- bz please pardon my infinite ignorance, the set-of-things-I-do-not-know is an infinite set. remove ch100-5 to avoid spam trap |
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#17
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#18
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wrote in message ... On Mon, 22 Aug 2005 16:19:22 GMT, "Dirk Van de moortel" wrote: wrote in message ... On Fri, 19 Aug 2005 16:27:39 GMT, "Dirk Van de moortel" wrote: wrote in message ... This problem is a combination of several problems I've posted in this group. When I combine the problems, the answers given to me in previous posts don't work. Here's the problem. Another everyday experience problem with 300000 km long rigid rods, I presume? http://users.pandora.be/vdmoortel/di.../Everyday.html Dirk, the link you posted has pandora.be in it, from which I infer refers to a country different than the United States of America. So I'm guessing English is not your native language. If you carefully read my sentence that you refer to in the above link, you will see that I stated that the 300000 km length IS NOT part of my everyday experience. Sure. I *had* carefully read your sentence and I understood it just the way you had intended it. It was one of the funniest things you ever wrote on this group. Well, with the velocity being only 3 meters / second, and the acceleration being only 1 g, I can experience how objects change (on a local level) when they move from one reference frame to another. For example, some posters in this group believe if the rod is made long enough, a person holding one end of the rod will be accelerated to a velocity approaching the speed of light. But with parameters like 3 meters / second and a 1 g acceleration it is easy for me to see that that notion is incorrect. You may think of that as being "an immortal fumble of David Seppala" but actually it helps me understand things easier. You're not one of those people who think one end of the rod travels at a speed close to the speed of light when it is placed on a conveyer belt moving at 3 meters / second, are you? Or is that why you label my approach as an immortal fumble? Just compare your | "Other than the rod being light-years in length, the parameters are | values that occur in our daily experience." with "Your Honour, other than that bitchy wife of mine, I would never kill anyone, so surely you're not going to put me behind bars?" Dirk Vdm David In order for you not to think that I had misunderstood you line, I now have put emphasis on the entire sentence: | "Other than the rod being light-years in length, the parameters are | values that occur in our daily experience." You can check it at: http://users.pandora.be/vdmoortel/di.../Everyday.html Hope this helps! Dirk Vdm |
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#20
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Sorry about the double-post there. The first 7 paragraphs got repeated.
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