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classical mechanic kinematics of rigid body motion
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5/17/2018 The Kinematics of Rigid Body Motion b
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UEEP2113 Classical
Mechanics
Topic 4: The kinematic of
Rigid Body motion !"
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E#le$ and E#le$ian angles
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E#le$ angles
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%ines of nodes
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T$ansfo$mation
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T$ansfo$mation
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T$ansfo$mation
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&n'e$se t$ansfo$mation
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E#le$(s Theo$em
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E#le$(s Theo$em
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E#le$(s Theo$em
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Eigen'al#es
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Eigen'ecto$s
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Cha$acte$istic o$ sec#la$e)#ation
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Eigen'ecto$s
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Eigen'al#es
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Eigen'al#es
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E#le$(s Theo$em
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E#le$(s Theo$em
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E#le$(s Theo$em
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E#le$(s Theo$em
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Possi!le dist$i!#tions ofeigen'al#es
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T$ace of *
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T$ace of *
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Chasles( Theo$em
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T$ansfo$mation in its acti'esense
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Rotation fo$m#la
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E#le$ angles
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&n+nitestimal $otations
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&n+nitesimal t$ansfo$mation
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&n+nitesimal t$ansfo$mation
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&n+nitesimal mat$i, isantisymmet$ic
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&n+nitesimal t$ansfo$mation
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&n+nitesimal t$ansfo$mation
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&n+nitesimal t$ansfo$mation
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&n+nitesimal t$ansfo$mation
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&n+nitesimal t$ansfo$mation