The figure shows a system consisting of (i) a ring the outer radius 3R rolling clockwise without slipping on a horizontal surface with angular speed ω and (ii) an inner disc of radius 2R rotating anti clockwise with angular speed ω/2. The ring and disc are separted. The point P on the inner disc is at a distance R from the origin, where OP makes an angle of 30∘ with the horizontal. Then with respect to the horizontal surface,
![](https://sahay.guru/wp-content/uploads/2020/09/110-1-4-832x1024.jpg)
![](https://sahay.guru/wp-content/uploads/2020/09/110-2-3-1024x998.jpg)