Impulse-Momentum for Rigid Bodies II
Impulse-Momentum for Rigid Bodies II
Impulse-Momentum for Rigid Bodies II
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<strong>Impulse</strong>-<strong>Momentum</strong> <strong>for</strong> <strong>Rigid</strong> <strong>Bodies</strong> <strong>II</strong>Lecture 33ME 231: Dynamics
Question of the DayA slender bar of mass mand length b is releasedfrom rest and pivots atO until the bar strikes Aand then pivots at A.The angular velocity 2= (3g/b) ½ just be<strong>for</strong>e itengages the pivot at A.Determine the angularvelocity 3 of the barjust after it engages thepivot at A.ME 231: Dynamics2
Outline <strong>for</strong> Today Question of the day <strong>Impulse</strong>-momentum <strong>for</strong> rigid bodies:exercises Answer your questions!ME 231: Dynamics3
<strong>Impulse</strong>-<strong>Momentum</strong> <strong>for</strong> <strong>Rigid</strong> <strong>Bodies</strong>: Exercise 1The 2-kg wheel, with radius of gyration aboutO of 60 mm, rolls without slipping down theincline with a velocity v O = 0.3 m/s when a<strong>for</strong>ce P = 10 N is appliedto the cord wrappedaround its inner hub.Determine thevelocity v of thecenter O when Phas been applied<strong>for</strong> 5 s.ME 231: Dynamics4
<strong>Impulse</strong>-<strong>Momentum</strong> <strong>for</strong> <strong>Rigid</strong> <strong>Bodies</strong>: Exercise 2The man A of mass m A drops with velocity v 0onto the end of a light beam. The boy B is sentup with a velocity v B .Determine b interms of L tomaximize the v B<strong>for</strong> a given ration = m B /m A .ME 231: Dynamics5
<strong>Impulse</strong>-<strong>Momentum</strong> <strong>for</strong> <strong>Rigid</strong> <strong>Bodies</strong>: Exercise 3Two slender bars, each with mass of4 kg, are at rest and hinged at Band C. An impulse of 14 N·s isapplied to the end A <strong>for</strong> 0.1 s.Determine the angular velocity 2of the upper bar immediately afterthe impulse.ME 231: Dynamics6
Outline <strong>for</strong> Today Question of the day <strong>Impulse</strong>-momentum <strong>for</strong> rigid bodies:exercises Answer your questions!ME 231: Dynamics7
For Next Time… Continue Homework #11 due onWednesday (11/14) Review Chapters 5 & 8ME 231: Dynamics8
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