Every point on the body moves along parallel paths.
When solving for unknowns, assume a direction (e.g., counter-clockwise). If your result is negative, the rotation simply occurs in the opposite direction. Hibbeler Dynamics Chapter 16 Solutions
: A powerful shortcut for finding velocities without complex vectors. Relative-Motion Analysis (Acceleration) : Incorporating normal and tangential components: Step-by-Step Solution Strategy Establish Coordinate Systems Every point on the body moves along parallel paths
Where did your approach diverge? Common divergences: wrong reference point for relative motion, incorrect signs in cross products, or misidentifying the instantaneous center. assume a direction (e.g.
$$a_B = a_A + \alpha \times r_B/A - \omega^2 r_B/A$$