A point mass \(m\) is moved in a vertical circle of radius \(r\) with the help of a string. The velocity of the mass is \(\sqrt{7gr} \) at the lowest point. The tension in the string at the lowest point is:

1. \(6 \text{mg}\) 2. \(7 \text{mg}\)
3. \(8 \text{mg}\) 4. \( \text{mg}\)
Subtopic:  Non Uniform Vertical Circular Motion |
 64%
Level 2: 60%+
NEET - 2020
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One end of the string of length \(l\) is connected to a particle of mass \(m\) and the other end is connected to a small peg on a smooth horizontal table. If the particle moves in a circle with speed \(v\), the net force on the particle (directed towards the center) will be: (\(T\) represents the tension in the string)

1. \(T+\dfrac{m v^2}{l}\) 2. \(T-\dfrac{m v^2}{l}\)
3. zero 4. \(T\)
Subtopic:  Non Uniform Vertical Circular Motion |
 53%
Level 3: 35%-60%
NEET - 2017
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A small mass attached to a string rotates on a frictionless table top as shown. If the tension in the string is increased by pulling the string causing the radius of the circular motion to decrease by a factor of 2, the kinetic energy of the mass will:
       
1. decrease by a factor of 2
2. remain constant
3. increase by a factor of 2
4. increase by a factor of 4

Subtopic:  Non Uniform Vertical Circular Motion |
Level 3: 35%-60%
AIPMT - 2011
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A mass is performing a vertical circular motion (see figure.) If the average velocity of the particle is increased, then at which point the string will break?

1. A 2. B
3. C 4. D
Subtopic:  Non Uniform Vertical Circular Motion |
 82%
Level 1: 80%+
AIPMT - 2000
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