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Unformatted text preview: y 1 = a (cos ) + l 2 (cos ) x 2 =a (sin ) + l 2 (sin ) y 2 = a (cos ) l 2 (cos ) The kinetic energy T = m ( x 2 1 + y 2 1 + x 2 2 + y 2 2 ) / 2 becomes T = m ( a 2 2 + l 2 4 2 ) while the potential energy is equal to zero. Lagrange equations read = 0 , = 0 or = 1 = const = 2 = const Note that this independence of and motions happens only because we considered the particles of identical masses. Otherwise the energy T would have had a term proportional to . 1...
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This note was uploaded on 12/13/2011 for the course PHYS 701 taught by Professor Bazaliy during the Fall '11 term at South Carolina.
 Fall '11
 Bazaliy
 mechanics, Energy, Kinetic Energy, Mass, Work

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