(Solved): The figure above shows a ring gear rolling on inner gear. Body 1 (labelled in the figure) is rotati ...

The figure above shows a ring gear rolling on inner gear. Body 1 (labelled in the figure) is rotating about point $\mathrm{O}$ at a constant angular velocity of $5\mathrm{k}\mathrm{rad}/\mathrm{s}$. The inner surface of the ring gear (labelled as body 2 in the figure) rolls without slip along the outer surface of body 1 . The radius of body 1 is $0.4\mathrm{m}$ and the inner diameter of body 2 is $1.2\mathrm{m}$. If the velocity of point $A$ is $30\mathrm{jm}/\mathrm{s}$. what is the angular velocity of body 2 with respect to body 1 ? $26.7\mathrm{k}\mathrm{rad}/\mathrm{s}$ $21.7\mathrm{k}\mathrm{rad}/\mathrm{s}$ $23.5\mathrm{k}\mathrm{rad}/\mathrm{s}$ $22.8\mathrm{k}\mathrm{rad}/\mathrm{s}$ $25.6\mathrm{krad}/\mathrm{s}$