Unformatted text preview: i.e. L 1 < L 2 ). Measurement C is the same as measurement A except Rods 1 and 2 are interchanged and we deduce that L 2 < L 1 . But measurement C must be equivalent to measurement B by the 1 st postulate of special relativity ( i.e. “Relativity Principle”). Measurement A and measurement C are not compatible unless L 1 = L 2 . Hence, L 1 = L 2 .! y x z y’ z’ x’ V Rod at rest in the O' frame O' O Mark ends simultaneously in the O frame L Parallel moving lengths are shorter! Perpendicular moving lengths are invariant! Length Contraction! Measurement A Rod 2 Rod 1 V Rod 2 at rest. L 2 =L L 1 <L Rod 1 moving to the right at speed V. Measurement B Rod 2 Rod 1 V Rod 2 at rest. L 2 =L L 1 <L Rod 1 moving to the left at speed V. Measurement C Rod 2 Rod 1 V Rod 1 at rest. L 2 <L L 1 =L Rod 2 moving to the right at speed V....
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 Spring '07
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 Physics, Special Relativity, Distance, rod

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