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ME 242 Lecture 28 04.13

# ME 242 Lecture 28 04.13 - ME 242 Dynamics Today's Key...

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1 ME 242 Dynamics April 13, 2009 Eric Wang Today’s Key Concepts Chapter 7: Kinetics of Rigid Bodies Types of motion Translation Curvilinear translation Rotation about a fixed point General motion Kinetics of Curvilinear translation Rotation about a fixed point Types of Motion Translation Curvilinear Translation Rotation about General Motion fixed point Pure Translation & Curvilinear Translation Equations of Motion for 2D: F = ma G M G = ˙ H G = 0 F x = m ˙ ˙ x G F y = m ˙ ˙ y G (angular momentum is zero) Example (prob. 7.1.7) Given: L 1 = 1 m, L 2 = 1.8 m h = 0.65 m and m/s 2 Find: the change in the wheel normal forces due to thrust a G = 0.9 gi FBD=IRD mg N R N F ma G

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2 No Thrust Case (baseline) Thrust Case Compare the results Rotation about a fixed point 2D Equations of motion F = ma G M G = ˙ H G F x = m ˙ ˙ x G F y = m ˙ ˙ y G M O = ˙ H O Always true for 2D Only true for 2D rotation about a fixed point 2D is a VERY special case For 3D general motion = I
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