A particle of mass m moves along line PC with velocity v as shown. What is the angular momentum of the particle about O

             

1.  mvL

2.  mvl

3.  mvr

4.  0

Subtopic:  Angular Momentum |
 76%
From NCERT
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A solid sphere, disc, and solid cylinder all of the same mass and made up of the same material are allowed to roll down (from rest) on an inclined plane, then,

1. solid sphere reaches the bottom first.
2. solid sphere reaches the bottom late.
3. the disc will reach the bottom first.
4. all of them reach the bottom at the same time.

Subtopic:  Rolling Motion (OLD NCERT) |
 79%
From NCERT
PMT - 2010
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A cylinder of 500 g and radius 10 cm has moment of inertia (about its natural axis)

1. 2.5×10-3 kg-m2

2. 2×10-3 kg-m2

3. 5×10-3 kg-m2

4. 3.5×10-3 kg-m2

Subtopic:  Moment of Inertia |
 70%
From NCERT
PMT - 2001
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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 |
 67%
From NCERT
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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 |
 57%
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 |
 55%
From NCERT
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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 |
 64%
From NCERT
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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) |
 56%
From 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 |
From NCERT
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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 |
 64%
From NCERT
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