In an orbital motion, the angular momentum vector is 

1. Along the radius vector

2. Parallel to the linear momentum

3. In the orbital plane

4. Perpendicular to the orbital plane

Subtopic:  Angular Momentum |
 75%
From NCERT
AIIMS - 2004
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A particle of mass m moves with a constant velocity along 3 different paths, DE, OA and BC. Which of the following statements is not correct about its angular momentum about point O?

                           

1. It is zero when it is at A and moving along OA.
2. The same at all points along the line DE.
3. Of the same magnitude but oppositely directed at B and  D.
4. Increases as it moves along the line BC.

Subtopic:  Angular Momentum |
 53%
From NCERT
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A particle of mass 0.2 kg is moving in a circle of radius 1m with 
f=2/π rps, then its angular momentum is-
(A) 0.8 kgm2/s                        (B) 2 kgm2/s 
(C) 8 kgm2/s                            (D) 16 kgm2/s 

Subtopic:  Angular Momentum |
 84%
From NCERT
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A sphere is rolling down a plane of inclination θ to the horizontal.  The acceleration of its centre down the plane is 

1. g sin θ                   

2. less than g sin θ

3. greater than g sin θ

4. zero

  

Subtopic:  Rolling Motion (OLD NCERT) |
 67%
From NCERT
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A bob of mass m attached to an inextensible string of length l is suspended from vertical support.  The bob rotates in a horizontal circle with an angular speed ω rad/s about the vertical.  About the point of suspension.

1.  Angular momentum is conserved
2. Angular momentum changes in magnitude but not in the direction
3. Angular momentum changes in direction but not in magnitude
4. Angular momentum changes both in direction and magnitude 

Subtopic:  Angular Momentum |
From NCERT
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In free space, a rifle of mass M shoots a bullet of mass m at a stationary block of mass M at a distance D away from it. When the bullet has moved through a distance d towards the block, the centre of mass of the bullet - block system is at a distance of

1. (D-d)M+m from the bullet

2. md+MDM+m from the block

3. 2md+MDM+m from the block

4. (D-d)MM+m from the bullet

Subtopic:  Center of Mass |
 57%
From NCERT
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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 |
 74%
From NCERT
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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%
From NCERT
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A force\(- F \hat k\) acts on O, the origin of the coordinate system. The torque at the point (1, -1) will be:

1. -Fi^+j^

2. Fi^+j^

3. -Fi^-j^

4. Fi^-j^

Subtopic:  Torque |
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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 |
 78%
From NCERT
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