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

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 `t` as shown in the figure. Find the angular velocity of the rod about its centre of mass.

Text Solution

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According to angular impulse `vec(J)=vec(tau)t=vec(L)_(2)-vec(L)_(1)`
`vec(tau)t=Iomega_(2)-Iomega_(1)`
`:' omega_(1)=0, omega_(2)=omega, tau =Fl/2`
`Fl/2t=(ml^(2))/12 omega-0rArromega=(6 Ft)/(ml)`
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