A thin horizontal circular disc is rotating about a vertical axis passing through its centre. An insect is at rest at a point near the rim of the disc. The insect now moves along a diameter of the disc to reach its other end. During the journey of the insect, the angular speed of the disc:
- Acontinuously decreases
- Bcontinuously increases
- Cfirst increases and then decreases
- Dremains unchanged
Solution & Step-by-step Explanation
By conservation of angular momentum ():As the insect moves from the rim towards the centre, the moment of inertia () of the system decreases (since and decreases). Consequently, the angular speed increases.As the insect moves from the centre towards the other end of the rim, increases, increases, and decreases.Therefore, the angular speed first increases and then decreases.