A stone of mass \(m\) tied to the end of a string revolves in a vertical circle of radius \(R.\) The magnitude of net forces at the lowest and highest points of the circle directed vertically downwards are:
(\(T_1\) and denote the tension and speed at the lowest point. \(T_2\) and \(v_2\) denote corresponding values at the highest point.)
Lowest point Highest point
1. \(mg-T_1\) \(mg+T_2\)
2. \(mg+T_1\) \(mg+T_2\)
3. \(mg+T_1-\frac{mv^2_1}{R}\)
\(mg-T_2+\frac{mv^2_2}{R}\)
4. \(mg-T_1-\frac{mv^2_1}{R}\) \(mg+T_2+\frac{mv^2_2}{R}\)

Subtopic:  Non Uniform Vertical Circular Motion |
 51%
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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

Subtopic:  Non Uniform Vertical Circular Motion |
 76%
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