A circular disc is to be made by using iron and aluminium, so that it acquires maximum moment of inertia about its geometrical axis.  It is possible with

1. iron and aluminium layers in alternate order

2. aluminium at interior and iron surrounding it

3. iron at interior and aluminium surrounding it

4. either '1' or '3'

Subtopic:  Moment of Inertia |
 72%
From NCERT
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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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