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 \(A\), \(8~\)N at \(B\), \(6\) N at \(C\), and \(9~\)N 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 \(\text {ABCD}\) of uniform thickness about an axis passing through the centre \(\text O\) and perpendicular to the plane of the plate is 

                            

1.  \(\text I_{1}   +   \text I_{2}\)

2.  \(\text I_{2}   +  \text I_{4}\)

3.  \(\text I_{1}   - \text   I_{3}\)

4.  \(\text I_{1}   +\text   I_{2  } +  \text I_{3}   + \text   I_{4}\)

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) |
 62%
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 |
 57%
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 |
 81%
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 |
 60%
From NCERT
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If the linear density of a rod of length \(3~ \text{m}\) varies as \(\lambda=2+x,\) then the position of the center of mass of the rod is at a distance of:
1. \({7 \over 3}~\text{m}\) 2. \({10 \over 7}~\text{m}\)
3. \({12\over 7}~\text{m}\) 4. \({9 \over 7}~\text{m}\)
Subtopic:  Center of Mass |
 67%
From NCERT
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A sphere can not roll on:

1.  a smooth horizontal surface 

2.  a rough horizontal surface 

3.  a smooth inclined surface 

4.  a rough inclined surface 

Subtopic:  Rolling Motion (OLD NCERT) |
 55%
From NCERT
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