A particle of mass \(m\) moves in the\(XY\) plane with a velocity of \(v\) along the straight line \(AB.\) If the angular momentum of the particle about the origin \(O\) is \(L_A\) when it is at \(A\) and \(L_B\) when it is at \(B,\) then:

                  

1. \(L_A>L_B\)
2. \(L_A=L_B\)
3. The relationship between \(L_A\) and \(L_B\) depends upon the slope of the line \(AB.\)
4. \(L_A<L_B\)

Subtopic:  Angular Momentum |
 66%
From NCERT
AIIMS - 2007
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If rotational kinetic energy is 50 % of translational kinetic energy, then the body is 

1. Ring

2. Cylinder

3. Hollow sphere

4. Solid sphere

Subtopic:  Moment of Inertia | Rolling Motion (OLD NCERT) |
 60%
From NCERT
PMT - 2003
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Consider a system of two identical particles. One of the particles is at rest and the other has an acceleration a. The centre of mass has an acceleration

1. zero

2. \(\frac{a}{2}\)

3. a

4. 2a

Subtopic:  Center of Mass |
 77%
From NCERT
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A solid sphere rolls without slipping down a 30° inclined plane. If g = 10 m/s2, the acceleration of the rolling sphere is

1.  5 ms-2

2.  725ms-2

3.  257ms-2

4.  157ms-2

Subtopic:  Rolling Motion (OLD NCERT) |
 86%
From NCERT
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If the equation for the displacement of a particle moving on a circular path is given by θ=2t3+0.5, where θ is in radian and t is in second, then the angular velocity of the particle after 2s is 

1. 8 rad/s

2. 12 rad/s

3. 24 rad /s

4. 36 rad/s

Subtopic:  Rotational Motion: Kinematics |
 85%
From NCERT
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A pan containing a layer of uniform thickness of ice is placed on a circular turntable with its centre coinciding with the centre of the turn table. The turntable is now rotated at a constant angular velocity about a vertical axis passing through its centre and then driving is withdrawn. There is no friction between the table. As the ice melts

1.  the angular velocity of the system decreases

2.  the angular velocity of the system increases

3.  the angular velocity of the system remains unchanged

4.  the moment of inertia of the system decreases

Subtopic:  Angular Momentum |
 58%
From NCERT
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The motion of planets in the solar system is an example of the conservation of

1.  mass

2.  Linear momentum

3.  Angular momentum

4.  Energy

Subtopic:  Angular Momentum |
 91%
From NCERT
AIIMS - 2003
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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 |
 73%
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 |
 50%
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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