ME231_lecture_10 - Absolute Motion Lecture 10 ME 231...

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Absolute Motion Lecture 10 ME 231: Dynamics
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Question of the Day ME 231: Dynamics The cable reel rolls without slipping on the horizontal surface. Point A on the cable has a velocity v A = 0.8 m/s to the right. Compute the velocity of the center O and the angular velocity ω of the reel.
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Outline for Today • Absolute-motion analysis • Geometric relations • Maintaining consistent sense • Absolute motion: exercise(s) • Answer your questions! ME 231: Dynamics
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Absolute-Motion Analysis • The method relates the position of a point , A , on a rigid body to the angular position , θ , of a line contained in the body • The velocity and acceleration of point A are obtained in terms of the angular velocity , ω , and angular acceleration , α , of the rigid body ME 231: Dynamics
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Recall: Constrained Motion of Connected Particles • Application of absolute-motion analysis • Successive differentiation of cable length Geometric relations are simple ( i.e., linear variables only ) ME 231: Dynamics y x 2 0 + = y x
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ME231_lecture_10 - Absolute Motion Lecture 10 ME 231...

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