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Q. No.Five particles of mass \(2\) kg each are attached to the circumference of a circular disc of a radius of \(0.1\) m and negligible mass. The moment of inertia of the system about the axis passing through the centre of the disc and perpendicular to its plane will be:
1. \(1\) kg-m2
2. \(0.1\) kg-m2
3. \(2\) kg-m2
4. \(0.2\) kg-m2
Subtopic: Â Moment of Inertia |
 83%
From NCERT
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A light rod of length \(l\) has two masses, \(m_1\) and \(m_2,\) attached to its two ends. The moment of inertia of the system about an axis perpendicular to the rod and passing through the centre of mass is:
1. \(\frac{m_1m_2}{m_1+m_2}l^2\)
2. \(\frac{m_1+m_2}{m_1m_2}l^2\)
3. \((m_1+m_2)l^2\)
4. \(\sqrt{(m_1m_2)}l^2\)
1. \(\frac{m_1m_2}{m_1+m_2}l^2\)
2. \(\frac{m_1+m_2}{m_1m_2}l^2\)
3. \((m_1+m_2)l^2\)
4. \(\sqrt{(m_1m_2)}l^2\)
Subtopic: Â Moment of Inertia |
 76%
From NCERT
NEET - 2016
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The one-quarter sector is cut from a uniform circular disc of radius \(R\). This sector has a 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 will be:
| 1. | \(\frac{1}{2} M R^2 \) | 2. | \(\frac{1}{4} M R^2 \) |
| 3. | \(\frac{1}{8} M R^2 \) | 4. | \(\sqrt{2} M R^2\) |
Subtopic: Â Moment of Inertia |
 71%
From NCERT
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Consider two uniform discs of the same thickness and different radii \(R_1=R\) and \(R_2=\alpha R\) made of the same material. If the ratio of their moments of inertia, \(I_1\) and \(I_2,\) respectively, about their axes is \(I_1:I_2=1:16,\) then the value of \(\alpha\) is:
1. \(\sqrt{2}\)
2. \(4\)
3. \(2\)
4. \(2\sqrt{2}\)
1. \(\sqrt{2}\)
2. \(4\)
3. \(2\)
4. \(2\sqrt{2}\)
Subtopic: Â Moment of Inertia |
From NCERT
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An energy of \(484~\text J\) is spent in increasing the speed of a flywheel from \(60~\text{rpm}\) to \(360~\text{rpm}.\) The moment of inertia of the flywheel is:
| 1. | \(0.7~\text{kg/m}^2\) | 2. | \(3.22~\text{kg/m}^2\) |
| 3. | \(30.8~\text{kg/m}^2\) | 4. | \(0.07~\text{kg/m}^2\) |
Subtopic: Â Moment of Inertia |
 57%
From NCERT
NEET - 2022
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