A wheelin uniformmotionabout an axispassingthrough its centreandperpendicularplusisconsideredto bein mechanical(translational plus rotational) equilibriumbecause no netexternalforceortorqure is reqiredtosustainits motionHowever, theparticlesthanconstitute thewheel doexperiencea centripetealtheaccelerationwheel beingin equilibrium ? howwouldyou seta halfwheelinto unifrom motionaboutanaxispassing throghthe centreof massof thewheelandperpendicularto itsplane? will ypurequire external forcestosustainthemotion ?

A wheelin uniformmotionabout an axispassingthrough its centreandperpen

1.	A wheelin uniformmotionabout an axispassingthrough its centreandperpendicularplusisconsideredto bein mechanical(translational plus rotational) equilibriumbecause no netexternalforceortorqure is reqiredtosustainits motionHowever, theparticlesthanconstitute thewheel doexperiencea centripetealtheaccelerationwheel beingin equilibrium ? howwouldyou seta halfwheelinto unifrom motionaboutanaxispassing throghthe centreof massof thewheelandperpendicularto itsplane? will ypurequire external forcestosustainthemotion ?
Answer» Solution : Wheelis a rigid BODY, theparticlesthatconsiture the wheel doexperiencea centripetal accelerationdirected towards thecentre , this acceleration ARISES dueto INTERNAL eleasticforces , whichcancel out in pairs. In a HALFWHEEL thedistributionof mass aboutits centreof mass(through whichaxis ofrotation passes ) is notsymmetrical , therefore , thedirectionof angular momentumof thewheeldoesnotcoincide withthedirectionof its angularvelocityHencean external TORQUE is required to maintainthe motionof thehalf wheel.