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 $\sqrt{7\mathrm{gr}}$ at the lowest point. The tension in the string at the lowest point is:
1. $$6mg$$
2. $$7mg$$
3. $$8mg$$
4. $$mg$$

Subtopic: Â Non Uniform Vertical Circular Motion |
Â 62%
From NCERT
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. $$T+\frac{m v^2}{l}$$
2. $$T-\frac{m v^2}{l}$$
3. zero
4. $$T$$

Subtopic: Â Non Uniform Vertical Circular Motion |
Â 51%
From NCERT
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: Â Non Uniform Vertical Circular Motion |
From NCERT
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: Â Non Uniform Vertical Circular Motion |
Â 79%
From NCERT
AIPMT - 2000
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