ROTATIONAL INERTIA OF SOLID BODIES, ROTATIONAL DYNAMICS
Rotational Motion

269455 Two objects of masses\(1 \mathrm{~kg}\) and \(2 \mathrm{~kg}\) separated by a distance of \(1.2 \mathrm{~m}\) are rotating about their centre of mass. Find the moment of inertia of the system

1 \(0.96 \mathrm{kgm}^{2}\)
2 \(0.48 \mathrm{kgm}^{2}\)
3 \(0.83 \mathrm{kgm}^{2}\)
4 \(0.72 \mathrm{kgm}^{2}\)
Rotational Motion

269456 The radius of gyration of a body about an axis at a distance of\(4 \mathrm{~cm}\) from its centre of mass is \(5 \mathrm{~cm}\). The radius of gyration about a parallel axis through centre of mass is

1 \(2 \mathrm{~cm}\)
2 \(5 \mathrm{~cm}\)
3 \(4 \mathrm{~cm}\)
4 \(3 \mathrm{~cm}\)
Rotational Motion

269457 The M.I. of a thin rod about a normal axis through itscentre is I. It is bent at the centre such that the two parts are perpendicular to each other and perpendicular to the axis. The M.I. of the system about the same axis will be

1 \(2 I\)
2 I
3 \(I / 2\)
4 4I
Rotational Motion

269458 The moment of inertia of two spheres of equal masses about their diameters are the same. One is hollow, then ratio of their diameters

1 \(1: 5\)
2 \(1: \sqrt{5}\)
3 \(\pi: 1\)
4 \(\sqrt{5}: \sqrt{3}\)
Rotational Motion

269455 Two objects of masses\(1 \mathrm{~kg}\) and \(2 \mathrm{~kg}\) separated by a distance of \(1.2 \mathrm{~m}\) are rotating about their centre of mass. Find the moment of inertia of the system

1 \(0.96 \mathrm{kgm}^{2}\)
2 \(0.48 \mathrm{kgm}^{2}\)
3 \(0.83 \mathrm{kgm}^{2}\)
4 \(0.72 \mathrm{kgm}^{2}\)
Rotational Motion

269456 The radius of gyration of a body about an axis at a distance of\(4 \mathrm{~cm}\) from its centre of mass is \(5 \mathrm{~cm}\). The radius of gyration about a parallel axis through centre of mass is

1 \(2 \mathrm{~cm}\)
2 \(5 \mathrm{~cm}\)
3 \(4 \mathrm{~cm}\)
4 \(3 \mathrm{~cm}\)
Rotational Motion

269457 The M.I. of a thin rod about a normal axis through itscentre is I. It is bent at the centre such that the two parts are perpendicular to each other and perpendicular to the axis. The M.I. of the system about the same axis will be

1 \(2 I\)
2 I
3 \(I / 2\)
4 4I
Rotational Motion

269458 The moment of inertia of two spheres of equal masses about their diameters are the same. One is hollow, then ratio of their diameters

1 \(1: 5\)
2 \(1: \sqrt{5}\)
3 \(\pi: 1\)
4 \(\sqrt{5}: \sqrt{3}\)
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Rotational Motion

269455 Two objects of masses\(1 \mathrm{~kg}\) and \(2 \mathrm{~kg}\) separated by a distance of \(1.2 \mathrm{~m}\) are rotating about their centre of mass. Find the moment of inertia of the system

1 \(0.96 \mathrm{kgm}^{2}\)
2 \(0.48 \mathrm{kgm}^{2}\)
3 \(0.83 \mathrm{kgm}^{2}\)
4 \(0.72 \mathrm{kgm}^{2}\)
Rotational Motion

269456 The radius of gyration of a body about an axis at a distance of\(4 \mathrm{~cm}\) from its centre of mass is \(5 \mathrm{~cm}\). The radius of gyration about a parallel axis through centre of mass is

1 \(2 \mathrm{~cm}\)
2 \(5 \mathrm{~cm}\)
3 \(4 \mathrm{~cm}\)
4 \(3 \mathrm{~cm}\)
Rotational Motion

269457 The M.I. of a thin rod about a normal axis through itscentre is I. It is bent at the centre such that the two parts are perpendicular to each other and perpendicular to the axis. The M.I. of the system about the same axis will be

1 \(2 I\)
2 I
3 \(I / 2\)
4 4I
Rotational Motion

269458 The moment of inertia of two spheres of equal masses about their diameters are the same. One is hollow, then ratio of their diameters

1 \(1: 5\)
2 \(1: \sqrt{5}\)
3 \(\pi: 1\)
4 \(\sqrt{5}: \sqrt{3}\)
Rotational Motion

269455 Two objects of masses\(1 \mathrm{~kg}\) and \(2 \mathrm{~kg}\) separated by a distance of \(1.2 \mathrm{~m}\) are rotating about their centre of mass. Find the moment of inertia of the system

1 \(0.96 \mathrm{kgm}^{2}\)
2 \(0.48 \mathrm{kgm}^{2}\)
3 \(0.83 \mathrm{kgm}^{2}\)
4 \(0.72 \mathrm{kgm}^{2}\)
Rotational Motion

269456 The radius of gyration of a body about an axis at a distance of\(4 \mathrm{~cm}\) from its centre of mass is \(5 \mathrm{~cm}\). The radius of gyration about a parallel axis through centre of mass is

1 \(2 \mathrm{~cm}\)
2 \(5 \mathrm{~cm}\)
3 \(4 \mathrm{~cm}\)
4 \(3 \mathrm{~cm}\)
Rotational Motion

269457 The M.I. of a thin rod about a normal axis through itscentre is I. It is bent at the centre such that the two parts are perpendicular to each other and perpendicular to the axis. The M.I. of the system about the same axis will be

1 \(2 I\)
2 I
3 \(I / 2\)
4 4I
Rotational Motion

269458 The moment of inertia of two spheres of equal masses about their diameters are the same. One is hollow, then ratio of their diameters

1 \(1: 5\)
2 \(1: \sqrt{5}\)
3 \(\pi: 1\)
4 \(\sqrt{5}: \sqrt{3}\)