Three-point masses 'm' each, are placed at the vertices of an equilateral triangle of side a. Moment of inertia of the system about axis COD is-

1. 2ma2

2. 23ma2

3. 54ma2

4. 74ma2

Subtopic:  Moment of Inertia |
 66%
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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:  Linear Momentum |
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An \(ABC\) is a right-angled triangular plate of uniform thickness. The sides are such that \(AB>BC\). As shown in the figure \(I_1,I_2\) and \(I_3\) are moments of inertia about \(AB, BC\) and \(AC\) respectively. Which of the following relation is correct?

             

1. \(I_1 = I_2 = I_3\) 2. \(I_2 > I_1 > I_3\)
3. \(I_3 > I_2 > I_1\) 4. \(I_3 > I_1 > I_2\)
Subtopic:  Moment of Inertia |
 50%
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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 |
 74%
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A couple produces:                                                               [NTSE 1995; CBSE PMT 1997; DCE 2004]

1. Purely linear motion

2. Purely rotational motion

3. Linear and rotational motion

4. No motion

 

Subtopic:  Rotational Motion: Kinematics |
 69%
From NCERT
PMT - 1997
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A particle of mass 1 kg is kept at (1m, 1m, 1m). The moment of inertia of this particle about z-axis would be

1.  1 kg-m2

2.  2 kg-m2

3.  3 kg-m2

4.  None of these

Subtopic:  Moment of Inertia |
 51%
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One-quarter sector is cut from a uniform circular disc of radius R.  This sector has mass M.  It is made to rotate about a line perpendicular to its plane and passing through the centre of the original disc.  Its moment of inertia about the axis of rotation is:

1. 12MR2

2. 14MR2

3. 18MR2

4. 2MR2

Subtopic:  Moment of Inertia |
 59%
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A wheel is rotating at the rate of 33 rev/min.  If it comes to stop in 20 s. Then, the angular retardation will be

1. πrads2                         

2. 11π rad/s2

3. π200 rad/s2             

4. 11π200 rad/s2

Subtopic:  Rotational Motion: Kinematics |
 77%
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A solid sphere is rotating about a diameter at an angular velocity ω.  If it cools so that its radius reduces to 1n of its  original value, its angular velocity becomes [MP PMT 2006]

1. ωn                                2. ωn2

3. nω                               4. n2ω

 

Subtopic:  Angular Momentum |
 59%
From NCERT
PMT - 2006
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A horizontal platform is rotating with uniform angular velocity around the vertical axis passing through its centre. At some instant of time a viscous fluid of mass 'm' is dropped at the centre and is allowed to spread out and finally fall. The angular velocity during this period

1. Decreases continuously

2. Decreases initially and increases again

3. Remains unaltered

4. Increases continuously

Subtopic:  Angular Momentum |
 58%
From NCERT
AIIMS - 2005
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