# Rolling motion of an unbalanced disk

1. Nov 23, 2009

### NoYou

1. The problem statement, all variables and given/known data
The mass center G of a 5kg wheel of radius R = 300 mm is located at a distance r = 100 mm from its geometric center C. The centroidal radius of gyration is k = 150 mm. As the wheel rolls without sliding, its angular velocity varies and it is observed that it is = 8 rad/s in position shown. Determine the corresponding angular acceleration of the wheel.

2. Relevant equations
Ac=Ag=Ac + Ag/c = Ac + (Ag/c)tangent + (Ag/c) Normal
I= mk^2
a=r$$\alpha$$

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution