(Solution) - The rod A B moves with a constant velocity v relative -(2025 Original AI-Free Solution)

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The rod A'B' moves with a constant velocity v relative to the rod AB (Fig). Both rods have the same proper length lo and at the ends of each of them clocks are mounted, which are synchronized pairwise: A with B and A' with B'. Suppose the moment when the clock B' gets opposite the clock A is taken for the beginning of the time count in the reference frames fixed to each of the rods. Determine:
(a) The readings of the clocks B and B' at the moment when they are opposite each other;
(b) The same for the clocks A and A'.