- #1
jason.farnon
- 12
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Homework Statement
I think I have too many equations for unknowns for rolling without slipping. Suppose a wheel is pushed and left rolling along the ground without slipping.
Homework Equations
T = I*alpha, where alpha is the rotation about the wheel's centroid and I is the moment of inertia.
F = ma.
omega = r*v, where omega is the rotational speed, r is the wheel radius and v is the translational speed. The rolling without slipping condition. From this, alpha = r*a.
T = r*F, where F is friction.
The Attempt at a Solution
I*alpha = r*F, so alpha = r*F/I. For rolling without slipping, a = r^2 * F/I. But from Newton's second law, a = F/m. What am I doing wrong. Thanks.