class06

# class06 - Announcements Reading for Wednesday Review...

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Announcements • Reading for Wednesday: Review Chapter 1 • HW#2 (including ~1page essay on interferometers) due this Friday Today’s class • Review: – Spacetime diagrams – Time dilation Length contraction • Length contraction • Start with Lorentz transformation (relativistic version of Galileo transformation) Review: Spacetime Diagrams (1D in space) In PHYS 2130: x c·t object moving with 0<v<c. ‘Worldline’ of the object -2 -1 0 1 2 1 2 x c·t -2 -1 0 1 2 object at rest at x=1 x c·t -2 -1 0 1 2 object moving with v = -c. x=0 at time t=0 object moving with 0>v>-c L R Recall: Lucy played with a fire cracker in the train. Ethel watched the scene from the track. v Lucy Ethel Example: Lucy in the train ct Light travels to both walls Light reaches both walls at the same time. L R x In Lucy’s frame: Walls are at rest Lucy concludes: Light reaches both sides at the same time Example: Ethel on the tracks ct Ethel concludes: Light reaches left L R x In Ethel’s frame: Walls are in motion side first.

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v=0.5c ... -3 -2 -1 0 1 2 3 ... S S’ Last class’ clicker question: ... -3 -2 -1 0 1 2 3 ... Frame S’ was moving to the right at v=0.5c. The origins of S and S’ coincided at t=t’=0. We found that the world line of the origin of S’ as viewed in S was represented by the blue line on the right: ct x ct’ Frame S’ as viewed from S ct ct’ This is the time axis of the frame S’ x’ These angles are equal x This is the space axis of the frame S’ Frame S’ as viewed from S ct ct’ x’ In S: (3,3) In S’: (1.8,2) x Both frames are adequate for describing
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class06 - Announcements Reading for Wednesday Review...

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