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Q. No.A uniform rod of mass \(m\) and length \(l\) is rotated about an axis perpendicular to it and passes through its ends, in a gravity-free space with constant angular velocity \(\omega\). The force applied by the inner half (close to the axis) of the rod on the outer half is:
| 1. | \(\dfrac{1}{2} m \omega^{2}\) | 2. | \(\dfrac{2}{3} m \omega^{2}l\) |
| 3. | \(\dfrac{3}{8} m \omega^{2}l\) | 4. | \(\dfrac{3}{4} m \omega^{2}l\) |
Subtopic: Â Uniform Circular Motion |
From NCERT
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A bob is whirled in a horizontal plane by means of a string with an initial speed of \(\omega\) rpm. The tension in the string is \(T\). If speed becomes \(2\omega\) while keeping the same radius, the tension in the string becomes:
| 1. | \(4 T\) | 2. | \(\dfrac{T}{4}\) |
| 3. | \(\sqrt{2} T\) | 4. | \(T\) |
Subtopic: Â Uniform Circular Motion |
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From NCERT
NEET - 2024
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A bob is whirled in a horizontal circle by means of a string at an initial speed of \(10\) rpm. If the tension in the string is quadrupled while keeping the radius constant, the new speed is:
| 1. | \(20\) rpm | 2. | \(40\) rpm |
| 3. | \(5\) rpm | 4. | \(10\) rpm |
Subtopic: Â Uniform Circular Motion |
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From NCERT
NEET - 2024
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One end of a string of length \(l\) is connected to a particle of mass \(m\) and the other 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) is:
| 1. | \(T\) | 2. | \(T-\dfrac{m v^2}{l}\) |
| 3. | \(T+\dfrac{m v^2}{l}\) | 4. | \(0\) |
Subtopic: Â Uniform Circular Motion |
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From NCERT
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