ROTATIONAL INERTIA OF SOLID BODIES, ROTATIONAL DYNAMICS
Rotational Motion

269384 Three particles of masses \(1 \mathrm{gm}, 2 \mathrm{gm} \& 3 \mathrm{gm}\) are at \(1 \mathrm{~cm}, 2 \mathrm{~cm}, \& 3 \mathrm{~cm}\) from the axis of rotation respectively then the moment of inertia of the system \& radius of gyration of the system respectively are .......gm cm \(\mathrm{cm}^{2}\) and .. \(\mathbf{c m}\)

1 \(63,2.449\)
2 \(60,4.5\)
3 \(36,4.449\)
4 \(36,2.449\)
Rotational Motion

269385 A hoop of mass\(500 \mathrm{gm}\) \& radius \(10 \mathrm{~cm}\) is placed on a nail. then the moment of inertia of the hoop, when it is rotated about the nail will be-- \(\mathbf{k g m}^{2}\)

1 0.05
2 0.02
3 0.01
4 0.03
Rotational Motion

269386 The ratio of moments of inertia of two solid spheres of same mass but densities in the ratio \(1: 8\) is

1 \(1: 4\)
2 \(4: 1\)
3 \(2: 1\)
4 \(8: 1\)
Rotational Motion

269387 The radius of a solid sphere is\(R\) and its density D. When it is made to rotate about an axis passing through any diameter of sphere, expression for its moment of inertia is

1 \(\frac{8}{7} \pi \mathrm{DR}^{5}\)
2 \(\frac{8}{15} \pi \mathrm{DR}^{5}\)
3 \(\frac{28}{15} \pi \mathrm{DR}^{5}\)
4 \(\frac{28}{5} \pi D R^{5}\)
Rotational Motion

269384 Three particles of masses \(1 \mathrm{gm}, 2 \mathrm{gm} \& 3 \mathrm{gm}\) are at \(1 \mathrm{~cm}, 2 \mathrm{~cm}, \& 3 \mathrm{~cm}\) from the axis of rotation respectively then the moment of inertia of the system \& radius of gyration of the system respectively are .......gm cm \(\mathrm{cm}^{2}\) and .. \(\mathbf{c m}\)

1 \(63,2.449\)
2 \(60,4.5\)
3 \(36,4.449\)
4 \(36,2.449\)
Rotational Motion

269385 A hoop of mass\(500 \mathrm{gm}\) \& radius \(10 \mathrm{~cm}\) is placed on a nail. then the moment of inertia of the hoop, when it is rotated about the nail will be-- \(\mathbf{k g m}^{2}\)

1 0.05
2 0.02
3 0.01
4 0.03
Rotational Motion

269386 The ratio of moments of inertia of two solid spheres of same mass but densities in the ratio \(1: 8\) is

1 \(1: 4\)
2 \(4: 1\)
3 \(2: 1\)
4 \(8: 1\)
Rotational Motion

269387 The radius of a solid sphere is\(R\) and its density D. When it is made to rotate about an axis passing through any diameter of sphere, expression for its moment of inertia is

1 \(\frac{8}{7} \pi \mathrm{DR}^{5}\)
2 \(\frac{8}{15} \pi \mathrm{DR}^{5}\)
3 \(\frac{28}{15} \pi \mathrm{DR}^{5}\)
4 \(\frac{28}{5} \pi D R^{5}\)
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Rotational Motion

269384 Three particles of masses \(1 \mathrm{gm}, 2 \mathrm{gm} \& 3 \mathrm{gm}\) are at \(1 \mathrm{~cm}, 2 \mathrm{~cm}, \& 3 \mathrm{~cm}\) from the axis of rotation respectively then the moment of inertia of the system \& radius of gyration of the system respectively are .......gm cm \(\mathrm{cm}^{2}\) and .. \(\mathbf{c m}\)

1 \(63,2.449\)
2 \(60,4.5\)
3 \(36,4.449\)
4 \(36,2.449\)
Rotational Motion

269385 A hoop of mass\(500 \mathrm{gm}\) \& radius \(10 \mathrm{~cm}\) is placed on a nail. then the moment of inertia of the hoop, when it is rotated about the nail will be-- \(\mathbf{k g m}^{2}\)

1 0.05
2 0.02
3 0.01
4 0.03
Rotational Motion

269386 The ratio of moments of inertia of two solid spheres of same mass but densities in the ratio \(1: 8\) is

1 \(1: 4\)
2 \(4: 1\)
3 \(2: 1\)
4 \(8: 1\)
Rotational Motion

269387 The radius of a solid sphere is\(R\) and its density D. When it is made to rotate about an axis passing through any diameter of sphere, expression for its moment of inertia is

1 \(\frac{8}{7} \pi \mathrm{DR}^{5}\)
2 \(\frac{8}{15} \pi \mathrm{DR}^{5}\)
3 \(\frac{28}{15} \pi \mathrm{DR}^{5}\)
4 \(\frac{28}{5} \pi D R^{5}\)
Rotational Motion

269384 Three particles of masses \(1 \mathrm{gm}, 2 \mathrm{gm} \& 3 \mathrm{gm}\) are at \(1 \mathrm{~cm}, 2 \mathrm{~cm}, \& 3 \mathrm{~cm}\) from the axis of rotation respectively then the moment of inertia of the system \& radius of gyration of the system respectively are .......gm cm \(\mathrm{cm}^{2}\) and .. \(\mathbf{c m}\)

1 \(63,2.449\)
2 \(60,4.5\)
3 \(36,4.449\)
4 \(36,2.449\)
Rotational Motion

269385 A hoop of mass\(500 \mathrm{gm}\) \& radius \(10 \mathrm{~cm}\) is placed on a nail. then the moment of inertia of the hoop, when it is rotated about the nail will be-- \(\mathbf{k g m}^{2}\)

1 0.05
2 0.02
3 0.01
4 0.03
Rotational Motion

269386 The ratio of moments of inertia of two solid spheres of same mass but densities in the ratio \(1: 8\) is

1 \(1: 4\)
2 \(4: 1\)
3 \(2: 1\)
4 \(8: 1\)
Rotational Motion

269387 The radius of a solid sphere is\(R\) and its density D. When it is made to rotate about an axis passing through any diameter of sphere, expression for its moment of inertia is

1 \(\frac{8}{7} \pi \mathrm{DR}^{5}\)
2 \(\frac{8}{15} \pi \mathrm{DR}^{5}\)
3 \(\frac{28}{15} \pi \mathrm{DR}^{5}\)
4 \(\frac{28}{5} \pi D R^{5}\)