# Asymmetric free top

1. Nov 15, 2009

### Shafikae

Consider the asymmetric free top with I1 $$\neq$$ I2 $$\neq$$ I3

1) Show that $$\omega$$1 = $$\Omega$$ = const. and
$$\omega$$2 = $$\omega$$3 = 0 is a solution to Eulers equations.

2) Consider a small perturbation about the spin of the form
$$\omega$$1 = $$\Omega$$ + v1
$$\omega$$2 = v2
$$\omega$$3 = v3
and assume that the vk are small. What is the system of linear equations for the vk?

3) Find the general solution to the system of equations and interprete the result in terms of stability of the motion.

2. Nov 15, 2009

### jambaugh

3. Nov 15, 2009

### Shafikae

I dont understand any of it! I dont know what to do, I dont know how to begin solving it. I'm a helpless case :(

4. Nov 16, 2009

### jambaugh

Use the template for homework posts:
It would lead you to the first thing I'd suggest here...
Namely since the the problem refers to Euler's Equations, why don't you post those to show us you know what they are.

5. Nov 17, 2009