Two rings of the same radius and mass are placed such that their centers are at a common point and their planes are perpendicular to each other. The moment of inertia of the system about an axis passing through the center and perpendicular to the plane of one of the rings is (mass of the ring and radius = r)

1.  12mr2

2.  mr2

3.  32mr2

4.  2mr2

Subtopic:  Moment of Inertia |
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In a rectangle ABCD (BC = 2AB). The moment of inertia along which axis will be minimum?

1.  BC

2.  BD

3.  HF

4.  EG

               

Subtopic:  Moment of Inertia |
From NCERT

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A wheel comprises of a ring of radius R and mass M and three spokes of mass m each. The moment of inertia of the wheel about its axis is

                   

1.  M + m4R2

2.  M + mR2

3.  M + 3mR2

4.  M + m2R2

Subtopic:  Moment of Inertia |
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The angular velocity of a body changes from 125 rev./sec to 1 rev./sec. without applying any torque. The ratio of its radius of gyration in two situations is :

1.  5: 1

2.  1: 5

3.  1: 25

4.  25: 1

Subtopic:  Angular Momentum |
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A solid cylinder and a solid sphere, both having the same mass and radius, are released from a rough inclined plane. Both roll without slipping. Then,

1.  the force of friction that acts on the two is the same

2.  the force of friction is greater in the case of a sphere than in a cylinder

3.  the force of friction is greater in the case of a cylinder than in a sphere

4.  the force of friction will depend on the nature of the surface of the body that is moving and that of the inclined surface and is independent of the shape and size of the moving body

Subtopic:  Rolling Motion (OLD NCERT) |
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A homogeneous disc of mass 2 kg and radius 15 cm is rotating about its axis (which is fixed) with an angular velocity of 4 rad/sec. The linear momentum Of the disc is 

1.  1.2 kg m/sec 

2.  1.0 kg m/sec 

3.  0.6 kg m/sec 

4.  None of these

Subtopic:  Rotational Motion: Kinematics |
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A rigid body rotates about a fixed axis with a variable angular velocity equal to \(\alpha\) \(-\) \(\beta t\), at the time t, where \(\alpha , \beta\) are constants. The angle through which it rotates before it stops is:

1. \(\frac{\left(\alpha\right)^{2}}{2 \beta}\) 2. \(\frac{\left(\alpha\right)^{2} - \left(\beta\right)^{2}}{2 \alpha}\)
3. \(\frac{\left(\alpha\right)^{2} - \left(\beta\right)^{2}}{2 \beta}\) 4. \(\frac{\left(\alpha-\beta\right) \alpha}{2}\)
Subtopic:  Rotational Motion: Kinematics |
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For the uniform T shaped structure, with mass 3M, the moment of inertia about an axis normal to the plane and passing through O would be

            

1.  23MI2

2.  MI2

3.  MI23

4.  None of these

Subtopic:  Moment of Inertia |
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Moment of inertia of a disc about its own
axis is I. Its MOI about a tangential axis in
its plane is:
A 52I            B 3I            C32I           D4I

Subtopic:  Moment of Inertia |
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A rigid body rotates with an angular momentum L. If its rotational kinetic energy is made 4 times, its angular momentum will become

1.  4L

2.  16L

3.  2 L

4.  2L

Subtopic:  Angular Momentum |
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