Problem # p036 |

A thin rod OA of negligible mass is attached to a rod rotating about the origin 0 in the xy plane with an angular speed of 25 rpm at the instance when it arrives on the x-axis as shown. Simultaneously, the 2 kg sphere is sliding along the rod 0A away from the origin with a speed of 2 m/s. |

Determine the following quantities :

- The x- and y-component of the velocity of the sphere in the position shown in the figure.
- The angular momentum of the sphere with respect to the origin 0.
- 1 second after the position shown in the above figure the rod with the
sphere has rotated a bit in clock-wise direction around point
**0**and the distance between the sphere and the origin**0**of the coordinate system has increased to 1.6 m. How big is the angular velocity now, assuming that there are**no external forces**acting on the rod + sphere ?