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Lecture_12_Vel_Slider-Crank

# Lecture_12_Vel_Slider-Crank - ME 371 Chapter 6 Velocity...

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ME 371 Lecture 13 1 ME 371 ME 371 Chapter 6 Chapter 6 Velocity Analysis Velocity Analysis Slider Crank Slider Crank

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ME 371 Lecture 13 2 Lecture Lecture 12: Fourbar Slider Crank Given ω 2 Calculate ω 3 and V B
ME 371 Lecture 13 3 Velocity review Position and Velocity of a point Position of point P (with respect to A) Velocity of point P (with respect to A) ω is + ccw and cc ) 90 ( 0 + = = = = θ θ θ ω ω θ j j j PA PA e p je p dt d pje dt dR V θ j PA pe R =

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ME 371 Lecture 13 4 Velocity Analysis: Slider Crank The vector loop equation: 0 90 , 0 0 0 0 3 2 1 4 3 2 90 0 4 1 1 4 3 2 = = = = = d ce be ae de ce be ae R R R R j j j j j j j θ θ θ θ θ θ θ θ
ME 371 Lecture 13 5 Velocity Analysis: Slider Crank 3 3 2 2 3 2 90 , 0 0 3 2 0 3 2 ω θ ω θ θ θ θ θ θ θ = = = = dt d dt d But d be dt d j ae dt d j d ce be ae j j j j j ± Differentiate the vector loop equation with respect to time Final form B j j V d d be j ae j = = ± ± 0 3 2 3 2 θ θ ω ω

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ME 371 Lecture 13 6
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