Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

A rigid body is undergoing general planar motion that is a combination of translation and rotation. If at an instant the angular velocity vector is \( \vec{\omega} \) and the linear velocity of point \( A \) is \( \vec{v}_A \), then the linear velocity \( \vec{v}_B \) of any other point \( B \) separated by relative position vector \( \vec{r}_{BA} \) is given by:

1. A
   \( \vec{v}_B = \vec{v}_A - \vec{\omega} \times \vec{r}_{BA} \)
2. B
   \( \vec{v}_B = \vec{\omega} \times \vec{r}_{BA} \)
3. C
   \( \vec{v}_B = \vec{v}_A + \vec{\omega} \times \vec{r}_{BA} \)
4. D
   \( \vec{v}_B = \vec{v}_A + \vec{r}_{BA} \times \vec{\omega} \)