- #1

Krushnaraj Pandya

Gold Member

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## Homework Statement

A uniform rod of mass M and length l is hinged at the center. a particle of mass m and speed u sticks after hitting the end of the rod. find the angular velocity of the rod just after collision

## Homework Equations

Energy conservation-0.5mu^2=0.5(m+M)v^2

Angular momentum conservation about hinge-muL/2=MoI about COM*angular velocity

CoM=m1x1+m2x2/m1+m2

## The Attempt at a Solution

Can we apply energy conservation since the hinge isn't specified to be frictionless?

I'm sure we can conserve angular momentum about hinge though, taking hinge as origin the CoM comes out to be at a distance mL/2(M+m) and moment of Inertia about CoM can be calculated using parallel axis theorem but this gives a lot of complicated terms. Is there a simpler way to solve this question then?