Question

A uniform rod AB of length 2l and mass `m` is rotating in a horizontal plane about a vertical axis through A, with angular velocity `omega`, when the mid-point of the rod strikes a fixed nail and is brought immediately to rest. Find the impulse exerted by the nail.

Answer 1

Angular impulse `=` change in angular momentum
`therefore(Jxxr_(bot))=Iomega`
where `J=` linear impulse `=(Iomega)/(r_(t))`
`=((m)((2l)/(3)).omega)/(l)`
`=(4)/(3)m//omega`