 Quote by mananvpanchal
Hello,
Suppose, A and B is clocks at both end of train. A is at left and B is at right. Observer O is at middle of train at point M. Observer R is on platform.
Train is at rest and O synchronize both clock. The clock is synchronized with respect to both observer.
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Yes, both clocks are synchronised for both reference systems according to the standard synchronisation convention.
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Now, train starts moving to right. It accelerate and after some time it runs with constant speed. Now, the clock is still synchronized with respect to O.
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No, that is wrong: according to the standard synchronisation convention, the clocks are now out of synch with respect to O.
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But what about R? Is clocks synchronized with respect to R? If no, then which clock is ahead A or B?
Thanks.
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- Both moving clocks are now very slightly behind according to R.
- According to O, clock B in the front is now ahead on clock A in the rear.
This is quickly understood with a simplified analysis from the platform: neglecting the small effect from length contraction, both clocks are about equally behind. If O sends a signal to both A and B, clock A is moving towards the signal while B is running away from it. Thus the signals will reach A before B. Consequently, A will indicate less time than B at these events which O defines as simultaneous.
Harald