Question: A and B move at speed v (v < < c) in a circle of radius r, at diametrically opposite points. They both see their

A and B move at speed v (v << c) in a circle of radius r, at diametrically opposite points. They both see their clocks ticking at the same rate. Show this in three ways. Work in:
(a) The lab frame (the inertial frame whose origin is the center of the circle).
(b) The frame whose origin is B and whose axes remain parallel to an inertial set of axes.
(c) The rotating frame that is centered at the origin and rotates with the same frequency as A and B.

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a In the lab frame the situation is symmetric with respect to A and B Therefore if A and B are decel... View full answer

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