Mechanics

Download General Physics. Mechanics and Molecular Physics by L D Landau (Auth.) PDF

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By L D Landau (Auth.)

Common physics mechanics and molecular physics

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Extra resources for General Physics. Mechanics and Molecular Physics

Sample text

F o r if w e m o v e t h e point O through some distance a of given magnitude and direction, t h e radius vectors of the particles will all b e changed b y that a m o u n t , and t h e angular m o m e n t u m is changed by a X p i + aXpsH = a X (pi 4^p2-h · ·) = a X P , w h e r e Ρ is t h e total m o m e n t u m of t h e system. F o r a closed system Ρ is constant, and w e therefore see that changing t h e ori­ gin does not affect t h e c o n s t a n c y of the total angular m o m e n t u m of a closed system.

F o r if w e m o v e t h e point O through some distance a of given magnitude and direction, t h e radius vectors of the particles will all b e changed b y that a m o u n t , and t h e angular m o m e n t u m is changed by a X p i + aXpsH = a X (pi 4^p2-h · ·) = a X P , w h e r e Ρ is t h e total m o m e n t u m of t h e system. F o r a closed system Ρ is constant, and w e therefore see that changing t h e ori­ gin does not affect t h e c o n s t a n c y of the total angular m o m e n t u m of a closed system.

Since charges a r e n o w introduced for t h e first time a n d n o units of charge have yet b e e n defined, w e c a n take t h e proportion­ ality coefficient in C o u l o m b ' s law equal t o unity: F = eicjr^. This establishes a unit of charge, namely t h e charge w h o s e force of interaction with a n o t h e r similar charge at a distance of o n e centimetre is o n e dyne. This is called t h e electrostatic unit of charge. T h e system of units based o n this choice of the c o n s t a n t coefficient in C o u l o m b ' s law is called t h e electrostatic o r CGSE system.

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