Particle collides totally inelastically with a vertical free rod

1. Jun 11, 2013

rbwang1225

1. The problem statement, all variables and given/known data
A particle of mass M moving on a frictionless surface with velocity $V_0$ collides totally inelastically with an uniform vertical rod of mass M and length L. After immediately the collision, what is the center-of-mass velocity, the moment of inertia about the center-of-mass, and the angular speed of the system.

2. Relevant equations
conservation of momentum and conservation of angular momentum
moment of inertia

3. The attempt at a solution
I am wondering what point does the particle+rod system will rotate about?

2. Jun 11, 2013

darkxponent

First form the two equations. Conservation of linear and Conservation of angular momentum. As there is no external force and Torque.

3. Jun 11, 2013

Redbelly98

Staff Emeritus
The problem statement mentions "the moment of inertia about the center-of-mass", so that is a pretty good clue.