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Chapter1_4 - The laws of physics are invariant under a...

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PHY3063 R. D. Field Department of Physics Chapter1_4.doc University of Florida Postulates of Classical Physics Consider two frames of reference the O-frame (label events according to t,x,y,z) and the O'-frame (label events according to t',x',y',z') moving at a constant velocity V, with respect to each other at let the origins coincide at t= t' = 0. Let the force F act on a mass m in the O-frame and a force F' act on the same mass M in the O'-frame . First Postulate of Classical Physics (“Relativity Principle”): The basic laws of physics are identical in all systems of reference (frames) which move with uniform (unaccelerated) velocity with respect to one another.
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Unformatted text preview: The laws of physics are invariant under a change of inertial frame. The laws of physics have the same form in all inertial frames. It is impossible to detect uniform motion. Second Postulate of Classical Physics (Galilean Transformation): • The O and O' frame are related by the Galilean Transformation. z z y y t V x x t t ′ = ′ = ′ + ′ = ′ = z z y y Vt x x t t = ′ = ′ − = ′ = ′ Newton’s Equation: In O-Frame In O'-Frame a M F r r = ' ' a M F r r = but ' a a r r = and hence ' F F r r = and hence all observers agree. Galilean invariance implies Newton’s equations of motion! y x z y' z' x' V Mass M O O' force Assume M = M'!...
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