ROTATIONAL INERTIA OF SOLID BODIES, ROTATIONAL DYNAMICS
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Rotational Motion

269397 The radius of gyration of a body is\(18 \mathrm{~cm}\) when it is rotating about an axis passing through centre of mass of body. If radius of gyration of same body is \(30 \mathrm{~cm}\) about a parallel axis to first axis then, perpendicular distance between two parallel axes is

1 \(12 \mathrm{~cm}\)
2 \(16 \mathrm{~cm}\)
3 \(24 \mathrm{~cm}\)
4 \(36 \mathrm{~cm}\)
Rotational Motion

269398 The position of axis of rotation of a body is changed so that its moment of inertia decreases by\(36 \%\). The \(\%\) change in its radius of gyration is

1 decreases by\(18 \%\)
2 increases by\(18 \%\)
3 decreases by\(20 \%\)
4 increases by\(20 \%\)
Rotational Motion

269399 A diatomic molecule is formed by two atoms which may be treated as mass points\(m_{1}\) and \(m_{2}\) joined by a massless rod of length \(r\). Then the moment of inertia of molecule about an axis passing through centre of mass and perpendicular to the rod is :

1 zero
2 \(\left(m_{1}+m_{2}\right) r^{2}\)
3 \(\square \frac{m_{1} m_{2}}{\square m_{1}+m_{2}} \square \square^{r^{2}}\)
4 \(\frac{\square m_{1}+m_{2}}{\square m_{1} m_{2}} \square r^{r^{2}}\)
Rotational Motion

269400 I is moment of inertia of a thin square plate about an axis passing through opposite corners of plate. The moment of inertia of same plate about an axis perpendicular to the plane of plate and passing through itscentre is

1 \(I / 2\)
2 \(I / \sqrt{2}\)
3 \(\sqrt{2} \mathrm{I}\)
4 \(2 I\)
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Rotational Motion

269397 The radius of gyration of a body is\(18 \mathrm{~cm}\) when it is rotating about an axis passing through centre of mass of body. If radius of gyration of same body is \(30 \mathrm{~cm}\) about a parallel axis to first axis then, perpendicular distance between two parallel axes is

1 \(12 \mathrm{~cm}\)
2 \(16 \mathrm{~cm}\)
3 \(24 \mathrm{~cm}\)
4 \(36 \mathrm{~cm}\)
Rotational Motion

269398 The position of axis of rotation of a body is changed so that its moment of inertia decreases by\(36 \%\). The \(\%\) change in its radius of gyration is

1 decreases by\(18 \%\)
2 increases by\(18 \%\)
3 decreases by\(20 \%\)
4 increases by\(20 \%\)
Rotational Motion

269399 A diatomic molecule is formed by two atoms which may be treated as mass points\(m_{1}\) and \(m_{2}\) joined by a massless rod of length \(r\). Then the moment of inertia of molecule about an axis passing through centre of mass and perpendicular to the rod is :

1 zero
2 \(\left(m_{1}+m_{2}\right) r^{2}\)
3 \(\square \frac{m_{1} m_{2}}{\square m_{1}+m_{2}} \square \square^{r^{2}}\)
4 \(\frac{\square m_{1}+m_{2}}{\square m_{1} m_{2}} \square r^{r^{2}}\)
Rotational Motion

269400 I is moment of inertia of a thin square plate about an axis passing through opposite corners of plate. The moment of inertia of same plate about an axis perpendicular to the plane of plate and passing through itscentre is

1 \(I / 2\)
2 \(I / \sqrt{2}\)
3 \(\sqrt{2} \mathrm{I}\)
4 \(2 I\)
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Rotational Motion

269397 The radius of gyration of a body is\(18 \mathrm{~cm}\) when it is rotating about an axis passing through centre of mass of body. If radius of gyration of same body is \(30 \mathrm{~cm}\) about a parallel axis to first axis then, perpendicular distance between two parallel axes is

1 \(12 \mathrm{~cm}\)
2 \(16 \mathrm{~cm}\)
3 \(24 \mathrm{~cm}\)
4 \(36 \mathrm{~cm}\)
Rotational Motion

269398 The position of axis of rotation of a body is changed so that its moment of inertia decreases by\(36 \%\). The \(\%\) change in its radius of gyration is

1 decreases by\(18 \%\)
2 increases by\(18 \%\)
3 decreases by\(20 \%\)
4 increases by\(20 \%\)
Rotational Motion

269399 A diatomic molecule is formed by two atoms which may be treated as mass points\(m_{1}\) and \(m_{2}\) joined by a massless rod of length \(r\). Then the moment of inertia of molecule about an axis passing through centre of mass and perpendicular to the rod is :

1 zero
2 \(\left(m_{1}+m_{2}\right) r^{2}\)
3 \(\square \frac{m_{1} m_{2}}{\square m_{1}+m_{2}} \square \square^{r^{2}}\)
4 \(\frac{\square m_{1}+m_{2}}{\square m_{1} m_{2}} \square r^{r^{2}}\)
Rotational Motion

269400 I is moment of inertia of a thin square plate about an axis passing through opposite corners of plate. The moment of inertia of same plate about an axis perpendicular to the plane of plate and passing through itscentre is

1 \(I / 2\)
2 \(I / \sqrt{2}\)
3 \(\sqrt{2} \mathrm{I}\)
4 \(2 I\)
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Rotational Motion

269397 The radius of gyration of a body is\(18 \mathrm{~cm}\) when it is rotating about an axis passing through centre of mass of body. If radius of gyration of same body is \(30 \mathrm{~cm}\) about a parallel axis to first axis then, perpendicular distance between two parallel axes is

1 \(12 \mathrm{~cm}\)
2 \(16 \mathrm{~cm}\)
3 \(24 \mathrm{~cm}\)
4 \(36 \mathrm{~cm}\)
Rotational Motion

269398 The position of axis of rotation of a body is changed so that its moment of inertia decreases by\(36 \%\). The \(\%\) change in its radius of gyration is

1 decreases by\(18 \%\)
2 increases by\(18 \%\)
3 decreases by\(20 \%\)
4 increases by\(20 \%\)
Rotational Motion

269399 A diatomic molecule is formed by two atoms which may be treated as mass points\(m_{1}\) and \(m_{2}\) joined by a massless rod of length \(r\). Then the moment of inertia of molecule about an axis passing through centre of mass and perpendicular to the rod is :

1 zero
2 \(\left(m_{1}+m_{2}\right) r^{2}\)
3 \(\square \frac{m_{1} m_{2}}{\square m_{1}+m_{2}} \square \square^{r^{2}}\)
4 \(\frac{\square m_{1}+m_{2}}{\square m_{1} m_{2}} \square r^{r^{2}}\)
Rotational Motion

269400 I is moment of inertia of a thin square plate about an axis passing through opposite corners of plate. The moment of inertia of same plate about an axis perpendicular to the plane of plate and passing through itscentre is

1 \(I / 2\)
2 \(I / \sqrt{2}\)
3 \(\sqrt{2} \mathrm{I}\)
4 \(2 I\)
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