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| Tags: experiment, explain, frame, moving |
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I haven't been able to understand how this is explained from the point
of view of a moving observer. I asked a similar question before but did not get a clear answer. Here's the problem. I have a rotating cylinder whose longitudinal axis is aligned along the x axis. This rotating cylinder is in the rest frame. Let this cylinder rotate at 100 revolutions per second as measured in the rest frame, and let the diameter of this rotating cylinder be 10 meters. I have a second inertial frame moving with velocity V along the x axis. I'll call this frame the moving frame. At time t0 as measured in the moving frame a straight line is drawn by the moving frame observer along the top of the cylinder. Let the length of the cylinder be such that the simultaneous events at each end of the cylinder as measured in the moving frame is measured as a 1 second interval in the rest frame. This means the cylinder rotated 100 times as the line was drawn. As viewed in the moving frame this straight line is always parallel to the x-axis. As viewed in the rest frame, this line spirals around the cylinder 100 times. Now along this line we attach a steel rod. It spirals along the surface of the cylinder following the identical path as the line we drew. Observers in the moving frame measure this rod to be a straight line. Now at time t1 as measured in the moving frame all of points connecting the steel rod to the cylinder are simultaneously disconnected. Let's say we do this by removing the rotating cylinder without affecting the attached steel rod. With the rotating cylinder removed and only the steel rod remaining, observers in the moving frame measure that this straight steel rod has an unusual property. An observer in the moving frame would expect a straight rod to fly off parallel to the x-axis. But instead of this occuring, this straight steel rod continues to rotate length-wise around the x-axis at the 10 meter diameter as if the original rotating cylinder that it had been attached to was still there. It does this eventhough no force is being applied to it to cause this motion. Don't the moving frame observers who conducted this experiment have to conclude that this is not a straight steel rod? The moving frame observers do some additional experiments. They find they can create the identical situation if they accelerate a spiral rod to V and set it spinning. Or set a spiral rod spinning and then accelerate it. These experimenters also try to simultaneously attach all points of various straight rods of different materials to a rotating cylinder. They find that if the straight rod and the rotating cylinder have zero relative velocity and also are at rest with respect to experimenters ( the moving frame) all rods they try to attach can be attached to the rotating cylinder without breaking the rod. They find that if they try to attach one end first and then the other end some of these rods break, others stretch and twist. These same experimenters find that if the straight rods and the rotating cylinder have zero relative velocity but they are moving along the x-axis relative to the experimenters frame, then some rods break when all points are simultaneously attached. When these broken rods are examined these experimenters find that the rods are broken due to stretching and twisting just as they would have been if they were attached in the rotating cylinder at different times in the experimenters frame if the rod and cylinder had zero velocity with respect to the experimenters. These same experimenters can conduct various other related experiments. In the original experiment for example,after the cylinder has been removed, the experimenters can slow either the rotation rate of the "straight rod" or they can slow the velocity of the rod along the x-axis. In either case they find that the rod becomes a 10 meter diameter spiral - just as it would have been if the two ends were not attached to the rotating cylinder at the same time. With each experiment, the experimenters must conclude that the stretching and twisting was due to the rods not being attached to the two end points of the cylinder at the same time. I don't see what possible explanations exist for the shape of the rod if the moving frame observers measure that the rod on the rotating cylinder is indeed "straight". What possible explanation is there for a "straight rod" rotating lengthwise in a 10 meter diameter about the x-axis with no force acting on it to change its direction? This all seems non-sensical to me. Please give the relativity explanation. Thanks, David Seppala Based on these experiment |
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