ROTATIONAL INERTIA OF SOLID BODIES, ROTATIONAL DYNAMICS
Rotational Motion

269513 Moment of inertia of a thin circular plate of mass \(M\), radius \(R\) about an axis passing through its diameter is \(\mathrm{I}\). The moment of inertia of a circular ring of mass \(M\), radius \(R\) about an axis perpendicular to its plane and passing through its centre is

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

269514 The mass of a thin circular plate is\(M\) and its radius is \(R\). About an axis in the plane of plate at a perpendicular distance \(R / 2\) from centre of plate, its moment of inertia is

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

269515 In a rectangle\(A B C D(B C=2 A B)\). The moment of inertia is maximum along axis through

1 \(\mathrm{BC}\)
2 \(A B\)
3 \(\mathrm{HF}\)
4 EG
Rotational Motion

269516 \(M\) is mass and \(R\) is radius of a circular ring. The moment of inertia of same ring about an axis in the plane of ring at a perpendicular distance \(\frac{2 R}{3}\) from centre of ring is

1 \(\frac{2 M R^{2}}{3}\)
2 \(\frac{4 M R^{2}}{9}\)
3 \(\frac{3 M R^{2}}{8}\)
4 \(\frac{17 M R^{2}}{18}\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Rotational Motion

269513 Moment of inertia of a thin circular plate of mass \(M\), radius \(R\) about an axis passing through its diameter is \(\mathrm{I}\). The moment of inertia of a circular ring of mass \(M\), radius \(R\) about an axis perpendicular to its plane and passing through its centre is

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

269514 The mass of a thin circular plate is\(M\) and its radius is \(R\). About an axis in the plane of plate at a perpendicular distance \(R / 2\) from centre of plate, its moment of inertia is

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

269515 In a rectangle\(A B C D(B C=2 A B)\). The moment of inertia is maximum along axis through

1 \(\mathrm{BC}\)
2 \(A B\)
3 \(\mathrm{HF}\)
4 EG
Rotational Motion

269516 \(M\) is mass and \(R\) is radius of a circular ring. The moment of inertia of same ring about an axis in the plane of ring at a perpendicular distance \(\frac{2 R}{3}\) from centre of ring is

1 \(\frac{2 M R^{2}}{3}\)
2 \(\frac{4 M R^{2}}{9}\)
3 \(\frac{3 M R^{2}}{8}\)
4 \(\frac{17 M R^{2}}{18}\)
Rotational Motion

269513 Moment of inertia of a thin circular plate of mass \(M\), radius \(R\) about an axis passing through its diameter is \(\mathrm{I}\). The moment of inertia of a circular ring of mass \(M\), radius \(R\) about an axis perpendicular to its plane and passing through its centre is

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

269514 The mass of a thin circular plate is\(M\) and its radius is \(R\). About an axis in the plane of plate at a perpendicular distance \(R / 2\) from centre of plate, its moment of inertia is

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

269515 In a rectangle\(A B C D(B C=2 A B)\). The moment of inertia is maximum along axis through

1 \(\mathrm{BC}\)
2 \(A B\)
3 \(\mathrm{HF}\)
4 EG
Rotational Motion

269516 \(M\) is mass and \(R\) is radius of a circular ring. The moment of inertia of same ring about an axis in the plane of ring at a perpendicular distance \(\frac{2 R}{3}\) from centre of ring is

1 \(\frac{2 M R^{2}}{3}\)
2 \(\frac{4 M R^{2}}{9}\)
3 \(\frac{3 M R^{2}}{8}\)
4 \(\frac{17 M R^{2}}{18}\)
Rotational Motion

269513 Moment of inertia of a thin circular plate of mass \(M\), radius \(R\) about an axis passing through its diameter is \(\mathrm{I}\). The moment of inertia of a circular ring of mass \(M\), radius \(R\) about an axis perpendicular to its plane and passing through its centre is

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

269514 The mass of a thin circular plate is\(M\) and its radius is \(R\). About an axis in the plane of plate at a perpendicular distance \(R / 2\) from centre of plate, its moment of inertia is

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

269515 In a rectangle\(A B C D(B C=2 A B)\). The moment of inertia is maximum along axis through

1 \(\mathrm{BC}\)
2 \(A B\)
3 \(\mathrm{HF}\)
4 EG
Rotational Motion

269516 \(M\) is mass and \(R\) is radius of a circular ring. The moment of inertia of same ring about an axis in the plane of ring at a perpendicular distance \(\frac{2 R}{3}\) from centre of ring is

1 \(\frac{2 M R^{2}}{3}\)
2 \(\frac{4 M R^{2}}{9}\)
3 \(\frac{3 M R^{2}}{8}\)
4 \(\frac{17 M R^{2}}{18}\)