Three-point masses each of mass 'm', are placed at the vertices of an equilateral triangle of side a. The moment of inertia of the system through a mass m at O and lying in the plane of COA and perpendicular to OA is:

  

1. \(2ma^2\) 2. \({2 \over 3}ma^2\)
3. \({5 \over 4}ma^2\) 4. \({7 \over 4}ma^2\)
Subtopic:  Moment of Inertia |
 70%
From NCERT
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A particle is moving in a circular orbit with constant speed. Select wrong alternate

1. Its linear momentum is conserved

2. Its angular momentum is conserved

3. It is moving with variable velocity

4. It is moving with variable acceleration

Subtopic:  Angular Momentum |
 58%
From NCERT
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One solid sphere A and another hollow sphere B are of same mass and same outer radii. Their moment of inertia about their diameters are respectively IA and IB such that

1. IA=IB

2. IA>IB

3. IA<IB

4. IAIB=dAdB

Subtopic:  Moment of Inertia |
 83%
From NCERT
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A couple produces:   

1. purely linear motion
2. purely rotational motion
3. linear and rotational motion
4. no motion

Subtopic:  Rotational Motion: Kinematics |
 77%
From NCERT
PMT - 1997
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A wheel of radius R rolls on the ground with a uniform velocity v. The velocity of topmost point relative to the bottommost point is

1. v

2. 2v

3. v/2

4. zero

 

Subtopic:  Rolling Motion (OLD NCERT) |
 76%
From NCERT
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A constant torque of 1000 N-m turns a wheel of moment of inertial 200 kg-m2 about an axis through its centre. Its angular velocity after 3 s is

1. 1 rad/s

2. 5 rad/s

3. 10 rad/s

4. 15 rad/s

Subtopic:  Rotational Motion: Kinematics | Torque | Angular Momentum |
 84%
From NCERT
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Point masses m1 and m2 are placed at the opposite ends of a rigid of length L and negligible mass. The rod is to be set rotating about an axis perpendicular to it. The position of point P on this rod through which the axis should pass so that the work required to set the rod rotating with angular velocity ω0 is minimum is given by

1. x =m1m2L
2. x = m2m1L
3. x = m2Lm1+ m2
4. x = m1Lm1+ m2

Subtopic:  Moment of Inertia |
 84%
From NCERT
AIPMT - 2015
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A solid sphere rolls down on an inclined plane of inclination θ.
What is the acceleration as the sphere reaches bottom?
                                      [Odisha JEE 2002, 03; CBSE PMT 2014]
(a) 57gSinθ                                      (b) 35gSinθ
(c) 27gSinθ                                       (d) 25gSinθ

Subtopic:  Rolling Motion (OLD NCERT) |
 82%
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 |
 69%
From NCERT
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Two discs are rotating about their axes, normal to the discs and passing through the centres of the discs. Disc D1 has a 2 kg mass, 0.2 m radius, and an initial angular velocity of 50 rad s-1. Disc D2 has 4 kg mass, 0.1 m radius, and initial angular velocity of 200 rad s-1. The two discs are brought in contact face to face, with their axes of rotation coincident. The final angular velocity (in rad.s-1) of the system will be:

1. 60

2. 100

3. 120

4. 40

Subtopic:  Angular Momentum |
 77%
From NCERT
NEET - 2013
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