ROTATIONAL INERTIA OF SOLID BODIES, ROTATIONAL DYNAMICS
Rotational Motion

269392 In the above problem the moment of inertia of four bodies about an axis passing through any side of frame is

1 \(4 \mathrm{ML}^{2}\)
2 \(2 \sqrt{2} \mathrm{ML}^{2}\)
3 \(2 \mathrm{ML}^{2}\)
4 \(\sqrt{2} \mathrm{ML}^{2}\)
Rotational Motion

269393 The diameter of a fly wheel is\(R\). Its coefficient of linear expansion is \(\alpha\). If its temperature is increased by \(\Delta T\) the percentage increase in its moment of inertia is

1 \(200 \times \alpha \times \Delta T\)
2 \(100 \times \alpha \times \Delta T\)
3 \(50 \times \alpha \times \Delta T\)
4 \(150 \times \alpha \times \Delta T\)
Rotational Motion

269394 Three point sized bodies each of mass\(M\) are fixed at three corners of light triangular frame of side length \(L\). About an axis perpendicular to the plane of frame and passing through centre of frame the moment of inertia of three bodies is

1 \(\mathrm{ML}^{2}\)
2 \(\frac{3 M L^{2}}{2}\)
3 \(\sqrt{3} M^{2}\)
4 \(3 \mathrm{ML}^{2}\)
Rotational Motion

269395 In above problem, about an axis perpendicular to the plane of frame and passing through a corner of frame the moment of inertia of three bodies is

1 \(M^{2}\)
2 \(2 \mathrm{ML}^{2}\)
3 \(\sqrt{3} \mathrm{ML}^{2}\)
4 \(\frac{3 M L^{2}}{2}\)
Rotational Motion

269396 In above problem about an axis passing through any side of frame the moment of inertia of three bodies is

1 \(\mathrm{ML}^{2}\)
2 \(\frac{3 \mathrm{ML}^{2}}{2}\)
3 \(\frac{3 M L^{2}}{4}\)
4 \(\frac{2 M L^{2}}{3}\)
Rotational Motion

269392 In the above problem the moment of inertia of four bodies about an axis passing through any side of frame is

1 \(4 \mathrm{ML}^{2}\)
2 \(2 \sqrt{2} \mathrm{ML}^{2}\)
3 \(2 \mathrm{ML}^{2}\)
4 \(\sqrt{2} \mathrm{ML}^{2}\)
Rotational Motion

269393 The diameter of a fly wheel is\(R\). Its coefficient of linear expansion is \(\alpha\). If its temperature is increased by \(\Delta T\) the percentage increase in its moment of inertia is

1 \(200 \times \alpha \times \Delta T\)
2 \(100 \times \alpha \times \Delta T\)
3 \(50 \times \alpha \times \Delta T\)
4 \(150 \times \alpha \times \Delta T\)
Rotational Motion

269394 Three point sized bodies each of mass\(M\) are fixed at three corners of light triangular frame of side length \(L\). About an axis perpendicular to the plane of frame and passing through centre of frame the moment of inertia of three bodies is

1 \(\mathrm{ML}^{2}\)
2 \(\frac{3 M L^{2}}{2}\)
3 \(\sqrt{3} M^{2}\)
4 \(3 \mathrm{ML}^{2}\)
Rotational Motion

269395 In above problem, about an axis perpendicular to the plane of frame and passing through a corner of frame the moment of inertia of three bodies is

1 \(M^{2}\)
2 \(2 \mathrm{ML}^{2}\)
3 \(\sqrt{3} \mathrm{ML}^{2}\)
4 \(\frac{3 M L^{2}}{2}\)
Rotational Motion

269396 In above problem about an axis passing through any side of frame the moment of inertia of three bodies is

1 \(\mathrm{ML}^{2}\)
2 \(\frac{3 \mathrm{ML}^{2}}{2}\)
3 \(\frac{3 M L^{2}}{4}\)
4 \(\frac{2 M L^{2}}{3}\)
Rotational Motion

269392 In the above problem the moment of inertia of four bodies about an axis passing through any side of frame is

1 \(4 \mathrm{ML}^{2}\)
2 \(2 \sqrt{2} \mathrm{ML}^{2}\)
3 \(2 \mathrm{ML}^{2}\)
4 \(\sqrt{2} \mathrm{ML}^{2}\)
Rotational Motion

269393 The diameter of a fly wheel is\(R\). Its coefficient of linear expansion is \(\alpha\). If its temperature is increased by \(\Delta T\) the percentage increase in its moment of inertia is

1 \(200 \times \alpha \times \Delta T\)
2 \(100 \times \alpha \times \Delta T\)
3 \(50 \times \alpha \times \Delta T\)
4 \(150 \times \alpha \times \Delta T\)
Rotational Motion

269394 Three point sized bodies each of mass\(M\) are fixed at three corners of light triangular frame of side length \(L\). About an axis perpendicular to the plane of frame and passing through centre of frame the moment of inertia of three bodies is

1 \(\mathrm{ML}^{2}\)
2 \(\frac{3 M L^{2}}{2}\)
3 \(\sqrt{3} M^{2}\)
4 \(3 \mathrm{ML}^{2}\)
Rotational Motion

269395 In above problem, about an axis perpendicular to the plane of frame and passing through a corner of frame the moment of inertia of three bodies is

1 \(M^{2}\)
2 \(2 \mathrm{ML}^{2}\)
3 \(\sqrt{3} \mathrm{ML}^{2}\)
4 \(\frac{3 M L^{2}}{2}\)
Rotational Motion

269396 In above problem about an axis passing through any side of frame the moment of inertia of three bodies is

1 \(\mathrm{ML}^{2}\)
2 \(\frac{3 \mathrm{ML}^{2}}{2}\)
3 \(\frac{3 M L^{2}}{4}\)
4 \(\frac{2 M L^{2}}{3}\)
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Rotational Motion

269392 In the above problem the moment of inertia of four bodies about an axis passing through any side of frame is

1 \(4 \mathrm{ML}^{2}\)
2 \(2 \sqrt{2} \mathrm{ML}^{2}\)
3 \(2 \mathrm{ML}^{2}\)
4 \(\sqrt{2} \mathrm{ML}^{2}\)
Rotational Motion

269393 The diameter of a fly wheel is\(R\). Its coefficient of linear expansion is \(\alpha\). If its temperature is increased by \(\Delta T\) the percentage increase in its moment of inertia is

1 \(200 \times \alpha \times \Delta T\)
2 \(100 \times \alpha \times \Delta T\)
3 \(50 \times \alpha \times \Delta T\)
4 \(150 \times \alpha \times \Delta T\)
Rotational Motion

269394 Three point sized bodies each of mass\(M\) are fixed at three corners of light triangular frame of side length \(L\). About an axis perpendicular to the plane of frame and passing through centre of frame the moment of inertia of three bodies is

1 \(\mathrm{ML}^{2}\)
2 \(\frac{3 M L^{2}}{2}\)
3 \(\sqrt{3} M^{2}\)
4 \(3 \mathrm{ML}^{2}\)
Rotational Motion

269395 In above problem, about an axis perpendicular to the plane of frame and passing through a corner of frame the moment of inertia of three bodies is

1 \(M^{2}\)
2 \(2 \mathrm{ML}^{2}\)
3 \(\sqrt{3} \mathrm{ML}^{2}\)
4 \(\frac{3 M L^{2}}{2}\)
Rotational Motion

269396 In above problem about an axis passing through any side of frame the moment of inertia of three bodies is

1 \(\mathrm{ML}^{2}\)
2 \(\frac{3 \mathrm{ML}^{2}}{2}\)
3 \(\frac{3 M L^{2}}{4}\)
4 \(\frac{2 M L^{2}}{3}\)
Rotational Motion

269392 In the above problem the moment of inertia of four bodies about an axis passing through any side of frame is

1 \(4 \mathrm{ML}^{2}\)
2 \(2 \sqrt{2} \mathrm{ML}^{2}\)
3 \(2 \mathrm{ML}^{2}\)
4 \(\sqrt{2} \mathrm{ML}^{2}\)
Rotational Motion

269393 The diameter of a fly wheel is\(R\). Its coefficient of linear expansion is \(\alpha\). If its temperature is increased by \(\Delta T\) the percentage increase in its moment of inertia is

1 \(200 \times \alpha \times \Delta T\)
2 \(100 \times \alpha \times \Delta T\)
3 \(50 \times \alpha \times \Delta T\)
4 \(150 \times \alpha \times \Delta T\)
Rotational Motion

269394 Three point sized bodies each of mass\(M\) are fixed at three corners of light triangular frame of side length \(L\). About an axis perpendicular to the plane of frame and passing through centre of frame the moment of inertia of three bodies is

1 \(\mathrm{ML}^{2}\)
2 \(\frac{3 M L^{2}}{2}\)
3 \(\sqrt{3} M^{2}\)
4 \(3 \mathrm{ML}^{2}\)
Rotational Motion

269395 In above problem, about an axis perpendicular to the plane of frame and passing through a corner of frame the moment of inertia of three bodies is

1 \(M^{2}\)
2 \(2 \mathrm{ML}^{2}\)
3 \(\sqrt{3} \mathrm{ML}^{2}\)
4 \(\frac{3 M L^{2}}{2}\)
Rotational Motion

269396 In above problem about an axis passing through any side of frame the moment of inertia of three bodies is

1 \(\mathrm{ML}^{2}\)
2 \(\frac{3 \mathrm{ML}^{2}}{2}\)
3 \(\frac{3 M L^{2}}{4}\)
4 \(\frac{2 M L^{2}}{3}\)