Two Circular discs A and B are of equal masses and thicknesses but made of metal with densities dA and dB (dA > dB). If their moments of inertia about an axis passing through their centers and perpendicular to circular faces be IA and IB, then

1.  IA = IB

2.  IA > IB

3.  IA<IB

4.  IA  IB

Subtopic:  Moment of Inertia |
From NCERT
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A body is rolling without slipping on a horizontal surface and its rotational kinetic energy is equal to the translational kinetic energy. The body is 

1.  Disc

2.  Sphere

3.  Cylinder

4.  Ring

Subtopic:  Rolling Motion (OLD NCERT) |
 79%
From NCERT
PMT - 1996
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A wheel with a radius of 20 cm has forces applied to it as shown in the figure. The torque produced by the forces of 4 N at A, 8N at B, 6 N at C, and 9N at D, at the angles indicated, is:
                    
1.  5.4 N-m anticlockwise

2.  1.80 N-m clockwise

3.  2.0 N-m clockwise

4.  3.6 N-m clockwise

Subtopic:  Torque |
 77%
From NCERT
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The moment of inertia of a thin rectangular plate ABCD of uniform thickness about an axis passing through the centre O and perpendicular to the plane of the plate is 

                            

1.  I1 + I2

2.  I2 + I4

3.  I1 - I3

4.  I1 + I2 + I3 + I4

Subtopic:  Moment of Inertia |
 65%
From NCERT
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The centre of a wheel rolling on a plane surface moves with a speed \(v_0.\) A particle on the rim of the wheel at the same level as the centre will be moving at speed:
1. zero
2. \(v_0\)
3. \(\sqrt{2}v_0\)
4. \(2v_0\)

Subtopic:  Rolling Motion (OLD NCERT) |
 61%
From NCERT
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Moment of inertia of a uniform cylinder of mass M, radius R and length l about an axis passing through its center and normal to its axis would be

1.  Ml212

2.  MR22

3.  Ml212 + R24

4.  Ml212 + R22

Subtopic:  Moment of Inertia |
 58%
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A particle moves along a circle of radius 20πm with constant tangential acceleration. If the velocity of the particle is 80 m/s at the end of the second revolution after motion has begin, the tangential acceleration is

1. 640 π m/s2

2. 160 π m/s2

3. 40 π m/s2

4. 40 m/s2

Subtopic:  Rotational Motion: Kinematics |
 56%
From NCERT
PMT - 2003
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If the radius of the earth is suddenly contracted to half of its present value, then the duration of the day will be of:

1. 6 hours 2. 12 hours
3. 18 hours 4. 24 hours
Subtopic:  Angular Momentum |
 70%
From NCERT
PMT - 1999
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A wheel has angular acceleration of 3.0 rad/sec2 and an initial angular speed of 2.00 rad/sec.  In a time of 2 sec it has rotated through an angle (in radian) of 

1. 10               

2. 12

3. 4                 

4. 6

Subtopic:  Rotational Motion: Kinematics | Torque |
 82%
From NCERT
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If a force acts on a body at a point away from the centre of mass, then 

1.  Linear acceleration changes 

2.  Angular acceleration changes 

3.  Both change 

4.  None of these

Subtopic:  Torque |
 61%
From NCERT
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