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picture1_Homework 7 Solutions


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File: Homework 7 Solutions
chapter5 kinetics of rigid bodies question5 1 ahomogeneouscircularcylinderofmassmandradiusr isatrestatopathinsheet ofpaperasshowninfig p5 1 thepaperliesatonahorizontalsurface suddenly the paper is pulled with a very large velocity to the right and is removed from ...

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...Chapter kinetics of rigid bodies question ahomogeneouscircularcylinderofmassmandradiusr isatrestatopathinsheet ofpaperasshowninfig p thepaperliesatonahorizontalsurface suddenly the paper is pulled with a very large velocity to right and removed from under cylinder assuming that removal takes place in time t coefcient dynamic friction between all surfaces gravity acts downward determine thevelocityofthecenterofmassofthecylinderand b angular instant r g o x figure solution first let f be ground then it convenient choose following coordinate systemxedinreferenceframef origin at ex totheright ez into page ey kineticsofrigidbodies next d system xed reference frame e fixed z er now inordertosolvethisproblem weneedtoapplylinearimpulseandmomen tum center mass impulse momentum aboutthecenterofmassofthecylinder inordertoapplythesetwoprinciples we usethefreebodydiagramshowninfig where n reactionforceofpaper surface ondisk mg forceofgravity forceoffriction free body diagramofdisk nowfromthegeometr...

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