ROTATIONAL INERTIA OF SOLID BODIES, ROTATIONAL DYNAMICS
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Rotational Motion

269446 If I is moment of inertia of a thin circular plate about an axis passing through tangent of plate in its plane. The moment of inertia of same circular plate about an axis perpendicular to its plane and passing through itscentre is

1 \(\frac{4 I}{5}\)
2 \(\frac{2 I}{5}\)
3 \(\frac{4 I}{3}\)
4 \(\frac{2 I}{3}\)
Rotational Motion

269447 The moment of inertia of a solid sphere about an axis passing through itscentre is \(0.8 \mathrm{kgm}^{2}\). The moment of inertia of another solid sphere whose mass is same as mass of first sphere, but the density is 8 times density of first sphere, about an axis passing through its centre is

1 \(0.1 \mathrm{kgm}^{2}\)
2 \(0.2 \mathrm{kgm}^{2}\)
3 \(0.4 \mathrm{kgm}^{2}\)
4 \(0.5 \mathrm{kgm}^{2}\)
Rotational Motion

269448 Moment of inertia of a hoop suspended from a peg about the peg is

1 \(M R^{2}\)
2 \(\frac{M R^{2}}{2}\)
3 \(2 M R^{2}\)
4 \(\frac{3 M R^{2}}{2}\)
Rotational Motion

269449 Four particles each of mass\(1 \mathrm{~kg}\) are at the four corners of square of side \(1 \mathrm{~m}\). The M.I.of the system about a normal axis through centre of square is

1 \(6 \mathrm{kgm}^{2}\)
2 \(2 \mathrm{kgm}^{2}\)
3 \(1.25 \mathrm{kgm}^{2}\)
4 \(2.5 \mathrm{kgm}^{2}\)
Rotational Motion

269450 Three identical masses, each of mass\(1 \mathrm{~kg}\), are placed at the corners of an equilateral triangle of side \(l\). Then the moment of inertia of this system about an axis along one side of the triangle is

1 \(3 l^{2}\)
2 \(l^{2}\)
3 \(\frac{3}{4} l^{2}\)
4 \(\frac{3}{2} l^{2}\)
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Rotational Motion

269446 If I is moment of inertia of a thin circular plate about an axis passing through tangent of plate in its plane. The moment of inertia of same circular plate about an axis perpendicular to its plane and passing through itscentre is

1 \(\frac{4 I}{5}\)
2 \(\frac{2 I}{5}\)
3 \(\frac{4 I}{3}\)
4 \(\frac{2 I}{3}\)
Rotational Motion

269447 The moment of inertia of a solid sphere about an axis passing through itscentre is \(0.8 \mathrm{kgm}^{2}\). The moment of inertia of another solid sphere whose mass is same as mass of first sphere, but the density is 8 times density of first sphere, about an axis passing through its centre is

1 \(0.1 \mathrm{kgm}^{2}\)
2 \(0.2 \mathrm{kgm}^{2}\)
3 \(0.4 \mathrm{kgm}^{2}\)
4 \(0.5 \mathrm{kgm}^{2}\)
Rotational Motion

269448 Moment of inertia of a hoop suspended from a peg about the peg is

1 \(M R^{2}\)
2 \(\frac{M R^{2}}{2}\)
3 \(2 M R^{2}\)
4 \(\frac{3 M R^{2}}{2}\)
Rotational Motion

269449 Four particles each of mass\(1 \mathrm{~kg}\) are at the four corners of square of side \(1 \mathrm{~m}\). The M.I.of the system about a normal axis through centre of square is

1 \(6 \mathrm{kgm}^{2}\)
2 \(2 \mathrm{kgm}^{2}\)
3 \(1.25 \mathrm{kgm}^{2}\)
4 \(2.5 \mathrm{kgm}^{2}\)
Rotational Motion

269450 Three identical masses, each of mass\(1 \mathrm{~kg}\), are placed at the corners of an equilateral triangle of side \(l\). Then the moment of inertia of this system about an axis along one side of the triangle is

1 \(3 l^{2}\)
2 \(l^{2}\)
3 \(\frac{3}{4} l^{2}\)
4 \(\frac{3}{2} l^{2}\)
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Rotational Motion

269446 If I is moment of inertia of a thin circular plate about an axis passing through tangent of plate in its plane. The moment of inertia of same circular plate about an axis perpendicular to its plane and passing through itscentre is

1 \(\frac{4 I}{5}\)
2 \(\frac{2 I}{5}\)
3 \(\frac{4 I}{3}\)
4 \(\frac{2 I}{3}\)
Rotational Motion

269447 The moment of inertia of a solid sphere about an axis passing through itscentre is \(0.8 \mathrm{kgm}^{2}\). The moment of inertia of another solid sphere whose mass is same as mass of first sphere, but the density is 8 times density of first sphere, about an axis passing through its centre is

1 \(0.1 \mathrm{kgm}^{2}\)
2 \(0.2 \mathrm{kgm}^{2}\)
3 \(0.4 \mathrm{kgm}^{2}\)
4 \(0.5 \mathrm{kgm}^{2}\)
Rotational Motion

269448 Moment of inertia of a hoop suspended from a peg about the peg is

1 \(M R^{2}\)
2 \(\frac{M R^{2}}{2}\)
3 \(2 M R^{2}\)
4 \(\frac{3 M R^{2}}{2}\)
Rotational Motion

269449 Four particles each of mass\(1 \mathrm{~kg}\) are at the four corners of square of side \(1 \mathrm{~m}\). The M.I.of the system about a normal axis through centre of square is

1 \(6 \mathrm{kgm}^{2}\)
2 \(2 \mathrm{kgm}^{2}\)
3 \(1.25 \mathrm{kgm}^{2}\)
4 \(2.5 \mathrm{kgm}^{2}\)
Rotational Motion

269450 Three identical masses, each of mass\(1 \mathrm{~kg}\), are placed at the corners of an equilateral triangle of side \(l\). Then the moment of inertia of this system about an axis along one side of the triangle is

1 \(3 l^{2}\)
2 \(l^{2}\)
3 \(\frac{3}{4} l^{2}\)
4 \(\frac{3}{2} l^{2}\)
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Rotational Motion

269446 If I is moment of inertia of a thin circular plate about an axis passing through tangent of plate in its plane. The moment of inertia of same circular plate about an axis perpendicular to its plane and passing through itscentre is

1 \(\frac{4 I}{5}\)
2 \(\frac{2 I}{5}\)
3 \(\frac{4 I}{3}\)
4 \(\frac{2 I}{3}\)
Rotational Motion

269447 The moment of inertia of a solid sphere about an axis passing through itscentre is \(0.8 \mathrm{kgm}^{2}\). The moment of inertia of another solid sphere whose mass is same as mass of first sphere, but the density is 8 times density of first sphere, about an axis passing through its centre is

1 \(0.1 \mathrm{kgm}^{2}\)
2 \(0.2 \mathrm{kgm}^{2}\)
3 \(0.4 \mathrm{kgm}^{2}\)
4 \(0.5 \mathrm{kgm}^{2}\)
Rotational Motion

269448 Moment of inertia of a hoop suspended from a peg about the peg is

1 \(M R^{2}\)
2 \(\frac{M R^{2}}{2}\)
3 \(2 M R^{2}\)
4 \(\frac{3 M R^{2}}{2}\)
Rotational Motion

269449 Four particles each of mass\(1 \mathrm{~kg}\) are at the four corners of square of side \(1 \mathrm{~m}\). The M.I.of the system about a normal axis through centre of square is

1 \(6 \mathrm{kgm}^{2}\)
2 \(2 \mathrm{kgm}^{2}\)
3 \(1.25 \mathrm{kgm}^{2}\)
4 \(2.5 \mathrm{kgm}^{2}\)
Rotational Motion

269450 Three identical masses, each of mass\(1 \mathrm{~kg}\), are placed at the corners of an equilateral triangle of side \(l\). Then the moment of inertia of this system about an axis along one side of the triangle is

1 \(3 l^{2}\)
2 \(l^{2}\)
3 \(\frac{3}{4} l^{2}\)
4 \(\frac{3}{2} l^{2}\)
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Rotational Motion

269446 If I is moment of inertia of a thin circular plate about an axis passing through tangent of plate in its plane. The moment of inertia of same circular plate about an axis perpendicular to its plane and passing through itscentre is

1 \(\frac{4 I}{5}\)
2 \(\frac{2 I}{5}\)
3 \(\frac{4 I}{3}\)
4 \(\frac{2 I}{3}\)
Rotational Motion

269447 The moment of inertia of a solid sphere about an axis passing through itscentre is \(0.8 \mathrm{kgm}^{2}\). The moment of inertia of another solid sphere whose mass is same as mass of first sphere, but the density is 8 times density of first sphere, about an axis passing through its centre is

1 \(0.1 \mathrm{kgm}^{2}\)
2 \(0.2 \mathrm{kgm}^{2}\)
3 \(0.4 \mathrm{kgm}^{2}\)
4 \(0.5 \mathrm{kgm}^{2}\)
Rotational Motion

269448 Moment of inertia of a hoop suspended from a peg about the peg is

1 \(M R^{2}\)
2 \(\frac{M R^{2}}{2}\)
3 \(2 M R^{2}\)
4 \(\frac{3 M R^{2}}{2}\)
Rotational Motion

269449 Four particles each of mass\(1 \mathrm{~kg}\) are at the four corners of square of side \(1 \mathrm{~m}\). The M.I.of the system about a normal axis through centre of square is

1 \(6 \mathrm{kgm}^{2}\)
2 \(2 \mathrm{kgm}^{2}\)
3 \(1.25 \mathrm{kgm}^{2}\)
4 \(2.5 \mathrm{kgm}^{2}\)
Rotational Motion

269450 Three identical masses, each of mass\(1 \mathrm{~kg}\), are placed at the corners of an equilateral triangle of side \(l\). Then the moment of inertia of this system about an axis along one side of the triangle is

1 \(3 l^{2}\)
2 \(l^{2}\)
3 \(\frac{3}{4} l^{2}\)
4 \(\frac{3}{2} l^{2}\)