68. Conservative Forces in Mechanics

68. Conservative Forces in Mechanics - E r ( r = ) ....

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Conservative Forces in Mechanics Conservative forces familiar from mechanics: Elastic force: F ( x ) = - kx U ( x ) = - Z x x 0 ( - kx ) dx = 1 2 kx 2 ( x 0 = 0) . Gravitational force (locally): F ( y ) = - mg U ( y ) = - Z y y 0 ( - mg ) dy = mgy ( y 0 = 0) . Gravitational force (globally): F ( r ) = - G mm E r 2 U ( r ) = - Z r r 0 - G mm E r 2 dr = - G mm
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Unformatted text preview: E r ( r = ) . Potential energy depends on integration constant. Integration constant determines reference position where U = 0 : x = x , y = y , r = r . 17/1/2008 [tsl68 1/1]...
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