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Lecture_18_Accel_Coriolis-Jerk

# Lecture_18_Accel_Coriolis-Jerk - ME371 Chapter7 Jerk ME 371...

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ME 371 Lecture 20 1 ME 371 ME 371 Chapter 7 Chapter 7  Acceleration analysis   Acceleration analysis      Coriolis Acceleration  Coriolis Acceleration      Jerk Jerk

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ME 371 Lecture 20 2 Coriolis Acceleration Gustav Gaspard Coriolis – 1792 1843 – French professor of mechanics – Studied inertia forces due to acceleration – Conditions when there exists both slip  velocity & angular velocity
ME 371 Lecture 20 3 Coriolis Acceleration Positio n   2 θ j P pe R = slip trans slip trans P P P j P j P j j P P V V V e p V je p V e p je p dt dR V + = = = + = = 2 2 2 2 2 2 θ θ θ θ ϖ ϖ Velocity

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ME 371 Lecture 20 4 Coriolis Acceleration Acceleratio n   ( 29 ( 29 ( 29 ( 29 ( 29 slip coriolis normal P P P P P j j j j P j j j j j P j j j j j j j j j P P A A A A A e p je p e p je p A e p je p je p e j p je p A e p je p e p dt d je p e j p je p je p dt d e p je p dt d dt dV A + + + = + + - = + + + + = + = + + = + = = tangential 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 θ θ θ θ θ θ θ θ θ θ θ θ θ θ θ θ θ θ ϖ ϖ α ϖ ϖ ϖ α ϖ ϖ ϖ α ϖ ϖ
ME 371 Lecture 20 5 Coriolis Acceleration slip coriolis normal P P P P P j j j j P A A

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Lecture_18_Accel_Coriolis-Jerk - ME371 Chapter7 Jerk ME 371...

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