- #1

Truman I

- 16

- 4

**1. Homework Statement**

A rod (m=6kg, L=3m) at rest on ice (μ=0) is struck by a piece of clay (m=1kg, V=5m/s). The clay sticks.

1) What is the Velocity of the center of mass after the collision?

2) What is the Angular Velocity of the rod following the collision?

If the clay did not stick but its rebound was V=0m/s...

3) Now what is the velocity of the center of mass?

4) And what is the Angular Velocity of the rod?

## Homework Equations

I am just getting back from Spring break, so I'm pretty much brain dead right now. All I know is that I have a test soon and the teacher said a problem like this may be on it. So, this is my attempt to recreate the problem he described. I realize that there are three other threads with similar problems, but I am still having a hard time understanding this concept. Any help would be much appreciated.

What I do understand is that obviously this problem has a lot to do with conservation of angular momentum.

Therefore L

_{i}

*=L*

_{f}.I also understand the L=Iω.

## The Attempt at a Solution

So, taking this, I plugged in what I know.

L=Iω

L=(I

_{rod}+I

_{particle})ω

L=(1/3 mL

^{2}+mr

^{2})ω

→→→→→→→→→→→→→→→→→→→→

From here I am totally stuck; I have no idea how to solve this problem. So, I turned to the AP Physics C: Mechanics test from 2005. One of the Free Response Questions follows this same concept.

It's Question 3

Solutions Link here: http://apcentral.collegeboard.com/apc/public/repository/_ap05_sg_physics_c_me_46691.pdf

Questions Link here: http://apcentral.collegeboard.com/apc/public/repository/_ap05_frq_physics_c_m_45648.pdf

Once again, it's not the same question, so please don't try and help me with this AP one. It's just a similar problem.

All help is much appreciated.