A solid cylinder of mass 50 kg and radius 0.5 m is free to rotate about the horizontal axis.A massless string is wound round the cylinder with one end attached to it and other hanging freely.Tension in the string required to produce an angular acceleration of 2 rev/ s2 is

(1)25N

(2)50N

(3)78.5N

(4)157N

Subtopic:  Torque |
From NCERT
NEET - 2014
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The ratio of the accelerations for a solid sphere (mass m and radius R) rolling down an incline of angle  θ without slipping and slipping down the incline without rolling is

(1) 5:7

(2) 2:3

(3) 2:5

(4) 7:5

Subtopic:  Rolling Motion (OLD NCERT) |
 74%
From NCERT
NEET - 2014
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A rod PQ of mass M and length L is hinged at end P. The rod is kept horizontal by a muscle string tied to point Q as shown in the figure. When the string is cut, the initial angular acceleration of the rod is -

(1)3g/2L

(2)g/L

(3)2g/L

(4)2g/3L

Subtopic:  Torque |
 85%
From NCERT
NEET - 2013
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When a mass is rotating in a plane about a fixed point, its angular momentum is directed along

1. a line perpendicular to the plane of rotation

2. the line making an angle of 45° to the plane of rotation

3. the radius

4. the tangent to the orbit

Subtopic:  Angular Momentum |
 74%
From NCERT
NEET - 2012
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Two persons of mass 55 kg and 65 kg respectively, are at the opposite ends of a boat.The length of the boat is 3.0m and weighs 100 kg.The 55 kg man walks up to the 65 kg man and sits with him.If the boat is in still water the centre of mass of the system shifts by 

(1)3.0m

(2)2.3m

(3)zero

(4)0.75m

Subtopic:  Center of Mass |
 71%
From NCERT
NEET - 2012
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The moment of inertia of a uniform circular disc is maximum about an axis perpendicular to the disc and passing through:
 
1. B                   
2. C
3. D                   
4. A

Subtopic:  Moment of Inertia |
 78%
From NCERT
NEET - 2012
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Three masses are placed on the x-axis: \(300\) g at the origin, \(500\) g at \(x =40\) cm, and \(400\) g at \(x=70\) cm. The distance of the center of mass from the origin is:

1. \(40\) cm 2. \(45\) cm
3. \(50\) cm 4. \(30\) cm
Subtopic:  Center of Mass |
 82%
From NCERT
NEET - 2012
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The moment of inertia of a thin uniform rod of 

mass M and length L about an axis passing

through its mid-point and perpendicular to its

length is I0. Its moment of inertia about an 

axis passing through one of its ends and

perpendicular to its length is

(1) I0+ML2/4

(2) I0+2ML2

(3) I0+ML2

(4) I0+ML2/2

Subtopic:  Moment of Inertia |
 80%
From NCERT
NEET - 2011
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A circular disk of moment of inertia It is rotating in a horizontal plane, about its symmetry axis, with a constant angular speed ωi. Another disk of moment of inertia Ib is dropped coaxially onto the rotation disk. Initially the second disk has zero angular speed. Eventually both the disks rotate with a constant angular speed ωf. The energy lost by the initially rotating disc to friction is 

(1)12Ib2It+Ibωi2                                     

(2)12It2It+Ibωi2

(3)12Ib-ItIt+Ibωi2                                     

(4)12IbItIt+Ibωi2

Subtopic:  Angular Momentum |
 68%
From NCERT
NEET - 2010
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A man of 50 kg mass is standing in a gravity free space at a height of 10m above the floor. He throws a stone of 0.5 kg mass downwards with a speed 2 ms-1. When the stone reaches the floor, the distance of the man above the floor will be 

1. 9.9m                                 

2. 10.1m

3. 10m                                 

4. 20m                       

Subtopic:  Center of Mass |
 75%
From NCERT
NEET - 2010
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