A stone of mass \(\mathrm{m}\) tied to the end of a string revolves in a vertical circle of radius \(\mathrm{R}.\) The magnitude of net forces at the lowest and highest points of the circle directed vertically downwards are:
Lowest point | Highest point | |
1. | \(\mathrm{mg}-\mathrm{T_1}\) | \(\mathrm{mg}+\mathrm{T_2}\) |
2. | \(\mathrm{mg}+\mathrm{T_1}\) | \(\mathrm{mg}+\mathrm{T_2}\) |
3. | ||
4. |
( and denote the tension and speed at the lowest point. and denote corresponding values at the highest point.)
What is the minimum speed required at the uppermost position to perform a vertical loop if the radius of the chamber is \(25\) m?
1. \(16.7\) m/s
2. \(15.8\) m/s
3. \(35\) m/s
4. \(24\) m/s