Q. No.Match the physical quantities listed in Column-I with their corresponding SI units given in Column-II.
Codes:
| Column-I | Column-II | ||
| \(\mathrm{(A)}\) | Angular velocity | \(\mathrm{(P)}\) | \(\text{J-s}\) |
| \(\mathrm{(B)}\) | Angular momentum | \(\mathrm{(Q)}\) | \(\text{N-m}\) |
| \(\mathrm{(C)}\) | Torque | \(\mathrm{(R)}\) | \(\text{kg-m}^2\) |
| \(\mathrm{(D)}\) | Moment of inertia | \(\mathrm{(S)}\) | \(\text{rad/s}\) |
| 1. | \(\mathrm {A \rightarrow R, B \rightarrow S, C \rightarrow P, D \rightarrow Q }\) |
| 2. | \(\mathrm {A \rightarrow P, B \rightarrow Q, C \rightarrow R, D \rightarrow S }\) |
| 3. | \(\mathrm {A \rightarrow R, B \rightarrow P, C \rightarrow Q, D \rightarrow S }\) |
| 4. | \(\mathrm {A \rightarrow S, B \rightarrow P, C \rightarrow Q, D \rightarrow R} \) |
Subtopic: Rotational Motion: Dynamics |
88%
Level 1: 80%+
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A torque \(\tau\) acts on a body of moment of inertia \(I\) rotating with angular speed \(\omega.\) It will stop just after time:
| 1. | \(\dfrac{I \tau}{\omega}\) | 2. | \(\dfrac{I \omega}{\tau}\) |
| 3. | \(\dfrac{\tau \omega}{I}\) | 4. | \(I \omega \tau\) |
Subtopic: Rotational Motion: Dynamics |
83%
Level 1: 80%+
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A force of \(54.4~\text{N}\) is applied on the free end of a string wrapped around a solid cylinder of mass \(15~\text{kg}\) and radius \(10~\text{cm}.\) What is the angular acceleration of the cylinder?
| 1. | \(94.10\) rad/s2 | 2. | \(72.5\) rad/s2 |
| 3. | \(14.50\) rad/s2 | 4. | \(94.50\) rad/s2 |
Subtopic: Rotational Motion: Dynamics |
82%
Level 1: 80%+
JEE
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Given below are two statements:
Choose the correct option from the given ones:
1. (A) only
2. (B) only
3. both (A) and (B)
4. neither (A) nor (B)
| Statement A: | A body is in translational equilibrium if the net force on it is zero. |
| Statement B: | A body is in rotational equilibrium if the net torque about any point is zero. |
1. (A) only
2. (B) only
3. both (A) and (B)
4. neither (A) nor (B)
Subtopic: Rotational Motion: Dynamics |
81%
Level 1: 80%+
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A constant torque of \(100~\text{N-m}\) turns a wheel of moment of inertia \(300~\text{kg-m}^2\) about an axis passing through its centre. Starting from rest, its angular velocity after \(3~\text{s} \) is:
1. \(1~\text{rad/s}\)
2. \(5~\text{rad/s}\)
3. \(10~\text{rad/s}\)
4. \(15~\text{rad/s}\)
1. \(1~\text{rad/s}\)
2. \(5~\text{rad/s}\)
3. \(10~\text{rad/s}\)
4. \(15~\text{rad/s}\)
Subtopic: Rotational Motion: Dynamics |
81%
Level 1: 80%+
NEET - 2023
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A block with a mass of \(2\) kg is moving at a velocity of \(10\) m/s. It is connected to a string wound over a pulley (in the form of a disc) with a mass of \(2\) kg and a radius of \(0.1\) m, as shown in the figure. The angular speed of the pulley is:
(assume no slipping occurs)
1. \(10\) rad/s
2. \(100\) rad/s
3. \(0.1\) rad/s
4. \(0.01\) rad/s
(assume no slipping occurs)
1. \(10\) rad/s
2. \(100\) rad/s
3. \(0.1\) rad/s
4. \(0.01\) rad/s
Subtopic: Rotational Motion: Dynamics |
79%
Level 2: 60%+
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Point masses and are placed at the opposite ends of a rigid of length L and negligible mass. The rod is to be set rotating about an axis perpendicular to it. The position of point P on this rod through which the axis should pass so that the work required to set the rod rotating with angular velocity is minimum is given by
Subtopic: Rotational Motion: Dynamics |
79%
Level 2: 60%+
AIPMT - 2015
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When a force is applied to a rigid body, what happens to the distance between any two points on the body?
| 1. | It increases. | 2. | It decreases. |
| 3. | It remains constant. | 4. | It may either increase or decrease. |
Subtopic: Rotational Motion: Dynamics |
78%
Level 2: 60%+
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A uniform rod \(AB\) of length \(l\) and mass \(m\) is free to rotate about point \(A\). The rod is released from rest in the horizontal position. Given that the moment of inertia of the rod about \(A\) is \(\dfrac{ml^2}{3}\) the initial angular acceleration of the rod will be:
1. \(\dfrac{2g}{3l}\)
2. \(\dfrac{mgl}{2}\)
3. \(\dfrac{3}{2}gl\)
4. \(\dfrac{3g}{2l}\)
Subtopic: Rotational Motion: Dynamics |
78%
Level 2: 60%+
AIPMT - 2007
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Suppose that the angular velocity of the rotation of the earth is increased. Then as a consequence:
| 1. | Weight of the objects everywhere on the earth will decrease |
| 2. | Weight of the objects everywhere on the earth will increase |
| 3. | Except at the poles weight of the object on the earth will decrease |
| 4. | There will be no change in weight anywhere on the earth. |
Subtopic: Rotational Motion: Dynamics |
77%
Level 2: 60%+
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