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**Please help me with this Question based on angular momentum.....**

## Homework Statement

A uniform rod of length L rests on a frictionless horizontal surface.The rod is pivoted about a fixed frictionless axis at one end.Initially at rest the rod is hit by a bullet travelling parallel to the horizontal surface and perpendicular to the rod with speed v.It hits the rod at the centre and becomes embedded in it.

Mass of rod = 6m

mass of bullet = m

Find the final angular velocity of the rod......?

## Homework Equations

Impulse*r=Change in angular momentum.

angular momentum abt a point =I*w

## The Attempt at a Solution

I went about by considering the axis as my reference n used d above eqn..

mass of body after impact = 7m..

So, MI of the body about axis = 7mL

^{2}/3

my eqn is

mvL/2=(7mL^2*w)/3

im getting w=3v/14L

ans in buk is 2v/9L.....

Thank you......