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A uniform rod of mass .m. and length l. ...

A uniform rod of mass .m. and length l. is on the smooth horizontal surface. When a constant force .F.is applied at one end of the rod for a small time las shown in the figure. Find the angualr velocity of the rod about this centre of mass.

Text Solution

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According to angualr impulse
`J=tau.t=L_(2)-L_(1)," "tau.t=Iomega_(2)-Iomega_(1)`
`:.omega_(1)=0,omega_(2)=omega," "tau=F(1)/(2)`
`F(1)/(2).t=(ml^(2))/(12)omega-0" "impliesomega=(6Ft)/(ml)`
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