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 |
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 |
 74%
From NCERT
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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%
From NCERT
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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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For L = 3.0 m, the total torque about pivot A provided by the forces as shown in the figure is:

1. 210 Nm 2. 140 Nm
3. 95 Nm 4. 75 Nm
Subtopic:  Torque |
 58%
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For the same total mass, which of the following will have the largest moment of inertia about an axis passing through the centre of gravity and perpendicular to the plane of the body?

1. A disc of radius a

2. a ring of radius a

3. a square lamina of side 2 a

4. four rods forming square of side 2 a.

Subtopic:  Moment of Inertia |
From NCERT
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The radius of gyration of a uniform rod of length L about an axis passing through its centre of mass is

1. L23

2. L212

3. L3

4. L2

Subtopic:  Moment of Inertia |
 73%
From NCERT
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Two uniform, thin, identical rods, each of mass M and length l are joined together to form a cross. What will be the moment of inertia of the cross about an axis passing through the point at which the two rods are joined and are perpendicular to the plane of the cross?

1. Ml212

2. Ml26

3. Ml24

4. Ml23

Subtopic:  Moment of Inertia |
 77%
From NCERT
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If the linear momentum is increased by 50%, the kinetic energy will increase by

1.  50%

2.  100%

3.  125%

4.  25%

Subtopic:  Linear Momentum |
 63%
From NCERT
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A solid sphere, a hollow sphere, and a disc, all having the same mass and radius, are placed at the top of a smooth incline and released. Least time will be taken in reaching the bottom by 

1.  the solid sphere

2.  the hollow sphere

3.  the disc

4.  all will take the same time  

 

Subtopic:  Rolling Motion (OLD NCERT) |
From NCERT
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