Lecture5

Lecture5 - Inertial reference frames Inertial reference...

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Inertial reference frames Inertial reference frame Ref. frames that move one respect to the other with CONSTANT VELOCITY R r r S z x y z x y S’ r = r’ + R S z x y z x y S’ v’ v’ = constant v’ v = constant and or

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Time dependence of Relative Motion: Position r = r’ + t v S’S r’ = r - t v S’S Galileian transformation x = x’ + v x S’S t y = y’ + v y S’S t x’ = x – v x S’S t y’ = y – v y S’S t or R S z x y z x y S’ r r r = r’ + R Since S’ moves with constant v’ then R=R(t) v S’S R= v S’S t
Relative Motion: Velocity v V S’S v S z x y z x y S’ v = v + v S’S Galileian transformation for velocity This also follows from the definition of velocity d r d t v = r = r’ + t v S’S d r d t = d d t ( r’ + t v S’S ) = d r’ d t + d d t (t v S’S ) = (v’ + v S’S )

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Relative Motion: Acceleration v = v + v S’S Galileian transformation for velocity d v d t a = v = v’ + v S’S = d v’ d t + d d t v S’S = a All INERTIAL REFERENCE FRAMES measure SAME acceleration d v d t = d d t ( v ’ + v S’S ) a= because inertial reference frame v S’S =cost a = a Galileian transformation for acceleration
Other convention for Relative Motion r BA r PA r PB Relate inertial reference frames: Position z x y S z’ x’ y’ S’ P r PS = r PS’ + r S’S First subscript gives the system being located Second subscript gives the system with respect to which we are doing the location Velocity r PS = r PS’ + r S’S d r d t v = v PS = v PS’ + v S’S Galileian transformation for velocity

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This note was uploaded on 04/03/2008 for the course PHYSICS 7A taught by Professor Lanzara during the Spring '08 term at Berkeley.

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Lecture5 - Inertial reference frames Inertial reference...

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