Blocks A and B are resting on a smooth horizontal surface given equal speeds of 2 m/s in the opposite sense as shown in the figure.

                           

At t = 0, the position of blocks are shown, then the coordinates of centre of mass at t = 3s will be 

1.  (1, 0)

2.  (3, 0)

3.  (5, 0)

4.  (2.25, 0)

Subtopic:  Center of Mass |
 75%
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A wheel is at rest. Its angular velocity increases uniformly and becomes 80 rad/s after 5 s. The total angular displacement is 

1. 800 rad

2. 400 rad

3. 200 rad

4. 100 rad

Subtopic:  Rotational Motion: Kinematics |
 70%
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Moment of inertia of an object does not depend upon

1.  mass of object

2.  mass distribution

3.  angular velocity

4.  axis of rotation

Subtopic:  Moment of Inertia |
 79%
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A force F = 4i^ - 5j^ + 3k^ is acting on a point r1 = i^ + 2j^ + 3k^. The torque acting about a point r2 = 3i^ - 2j^ - 3k^ is

1.  0

2.  42i^ - 30j^ + 6k^

2.  42i^ + 30j^ + 6k^

4.  42i^ + 30j^ - 6k^

Subtopic:  Torque |
 59%
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A thin uniform circular disc of mass \(M\) and radius \(R\) is rotating in a horizontal plane about an axis passing through its center and perpendicular to its plane with an angular velocity ω. Another disc of the same dimensions but of mass \(\frac{1}{4}M\) is placed gently on the first disc co-axially. The angular velocity of the system will be:

1. 23ω 2. 45ω
3. 34ω 4. 13ω
Subtopic:  Angular Momentum |
 81%
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When a torque acting upon a system is zero, then which of the following will be constant 

1.  force

2.  Linear momentum

3.  Angular momentum

4.  Linear impulse

Subtopic:  Angular Momentum |
 86%
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PMT - 1997
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Consider a system of two particles having masses \(m_1~\text{and}~m_2.\) If the particle of mass \(m_1\) is pushed towards the centre of mass of particles through a distance, by what distance would be the particle of the mass \(m_2\) move so as to keep the centre of mass of particles at the original position?
1. \(\frac{m_1}{m_1+m_2}d\)
2. \(\frac{m_1}{m_2}d\)
3. \(d\)
4. \(\frac{m_2}{m_1}d\)
Subtopic:  Center of Mass |
 56%
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PMT - 2004
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A wheel whose moment of inertia is 12 Kgm2 has an initial angular velocity of 40 rad/sec. A constant torque of 20 Nm acts on the wheel. The time in which the wheel is accelerated to 100 rad/sec is

1.  72 seconds

2.  16 seconds

3.  8 seconds

4.  36 seconds

Subtopic:  Rotational Motion: Kinematics | Torque |
 82%
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A flywheel is in the form of a uniform circular disc of radius 1 m and mass 2 kg. The work which must be done on it to increase its frequency of rotation from 5 rev s-1 to 10 rev s-1 is approximately

1.  1.5 x 102 J

2.  3.0 x 102 J

3.  1.5 x 103 J

4.  3.0 x 103 J

Subtopic:  Rotational Motion: Kinematics |
 59%
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A constant torque acting on a uniform circular wheel changes its angular momentum from A0 to 4 A0 in 4s. The magnitude of this torque is 

1. 3A04

2. 4 A0

3. A0

4. 12 A0

Subtopic:  Angular Momentum |
 88%
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