Moment of Inertia
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365917 The moment of inertia of a straight thin rod of mass \(M\) and length \(l\) about an axis perpendicular to its length and passing through its one end, is

1 \(M l^{2} / 2\)
2 \(M l^{2} / 12\)
3 \(M l^{2}\)
4 \(M l^{2} / 3\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365918 The ratio of the radii of gyration of a circular disc and a circular ring of the same radii about a tangential axis perpendicular to plane of disc or ring is

1 \(2: 3\)
2 \(1: 2\)
3 \(\sqrt{5}: \sqrt{6}\)
4 \(\dfrac{\sqrt{3}}{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365919 Identify the decreasing order of moment of inertia of the following bodies of same mass and radius
I) about diameter of circular ring
II) about diameter of circular plate
III) about tangent of circular ring \(\perp^{\mathrm{r}}\) to its plane
IV) about tangent of circular plate in its plane

1 III, IV, II, I
2 IV, III, I, II
3 IV, III, II, I
4 III, IV, I, II
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365920 The figure shows a planar body. \(\mathrm{I}_{x}, \mathrm{I}_{\mathrm{y}}\) and \(\mathrm{I}_{\mathrm{z}}\) are moment of inertias of the body about the \(x, \mathrm{y}\) and \(\mathrm{z}\) axes respectively. If \(\mathrm{I}_{\mathrm{z}}=\mathrm{I}_{x}+\mathrm{I}_{\mathrm{y}}\) then predict the correct option.
Theorem of perpendicular axes applicable to a planar body: \(x\) and \(y\) axes are two perpendicular axes in the plane and the \(z\)-axes is perpendicular to the plane.
supporting img

1 This theorem is applicable to only planar bodies
2 The intersection point can be outside the body but present in the plane of \(x y\).
3 The body must lie in the plane of \(x y\).
4 All the above.
NEET DIGITAL LIBRARY
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365917 The moment of inertia of a straight thin rod of mass \(M\) and length \(l\) about an axis perpendicular to its length and passing through its one end, is

1 \(M l^{2} / 2\)
2 \(M l^{2} / 12\)
3 \(M l^{2}\)
4 \(M l^{2} / 3\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365918 The ratio of the radii of gyration of a circular disc and a circular ring of the same radii about a tangential axis perpendicular to plane of disc or ring is

1 \(2: 3\)
2 \(1: 2\)
3 \(\sqrt{5}: \sqrt{6}\)
4 \(\dfrac{\sqrt{3}}{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365919 Identify the decreasing order of moment of inertia of the following bodies of same mass and radius
I) about diameter of circular ring
II) about diameter of circular plate
III) about tangent of circular ring \(\perp^{\mathrm{r}}\) to its plane
IV) about tangent of circular plate in its plane

1 III, IV, II, I
2 IV, III, I, II
3 IV, III, II, I
4 III, IV, I, II
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365920 The figure shows a planar body. \(\mathrm{I}_{x}, \mathrm{I}_{\mathrm{y}}\) and \(\mathrm{I}_{\mathrm{z}}\) are moment of inertias of the body about the \(x, \mathrm{y}\) and \(\mathrm{z}\) axes respectively. If \(\mathrm{I}_{\mathrm{z}}=\mathrm{I}_{x}+\mathrm{I}_{\mathrm{y}}\) then predict the correct option.
Theorem of perpendicular axes applicable to a planar body: \(x\) and \(y\) axes are two perpendicular axes in the plane and the \(z\)-axes is perpendicular to the plane.
supporting img

1 This theorem is applicable to only planar bodies
2 The intersection point can be outside the body but present in the plane of \(x y\).
3 The body must lie in the plane of \(x y\).
4 All the above.
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365917 The moment of inertia of a straight thin rod of mass \(M\) and length \(l\) about an axis perpendicular to its length and passing through its one end, is

1 \(M l^{2} / 2\)
2 \(M l^{2} / 12\)
3 \(M l^{2}\)
4 \(M l^{2} / 3\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365918 The ratio of the radii of gyration of a circular disc and a circular ring of the same radii about a tangential axis perpendicular to plane of disc or ring is

1 \(2: 3\)
2 \(1: 2\)
3 \(\sqrt{5}: \sqrt{6}\)
4 \(\dfrac{\sqrt{3}}{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365919 Identify the decreasing order of moment of inertia of the following bodies of same mass and radius
I) about diameter of circular ring
II) about diameter of circular plate
III) about tangent of circular ring \(\perp^{\mathrm{r}}\) to its plane
IV) about tangent of circular plate in its plane

1 III, IV, II, I
2 IV, III, I, II
3 IV, III, II, I
4 III, IV, I, II
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365920 The figure shows a planar body. \(\mathrm{I}_{x}, \mathrm{I}_{\mathrm{y}}\) and \(\mathrm{I}_{\mathrm{z}}\) are moment of inertias of the body about the \(x, \mathrm{y}\) and \(\mathrm{z}\) axes respectively. If \(\mathrm{I}_{\mathrm{z}}=\mathrm{I}_{x}+\mathrm{I}_{\mathrm{y}}\) then predict the correct option.
Theorem of perpendicular axes applicable to a planar body: \(x\) and \(y\) axes are two perpendicular axes in the plane and the \(z\)-axes is perpendicular to the plane.
supporting img

1 This theorem is applicable to only planar bodies
2 The intersection point can be outside the body but present in the plane of \(x y\).
3 The body must lie in the plane of \(x y\).
4 All the above.
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365917 The moment of inertia of a straight thin rod of mass \(M\) and length \(l\) about an axis perpendicular to its length and passing through its one end, is

1 \(M l^{2} / 2\)
2 \(M l^{2} / 12\)
3 \(M l^{2}\)
4 \(M l^{2} / 3\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365918 The ratio of the radii of gyration of a circular disc and a circular ring of the same radii about a tangential axis perpendicular to plane of disc or ring is

1 \(2: 3\)
2 \(1: 2\)
3 \(\sqrt{5}: \sqrt{6}\)
4 \(\dfrac{\sqrt{3}}{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365919 Identify the decreasing order of moment of inertia of the following bodies of same mass and radius
I) about diameter of circular ring
II) about diameter of circular plate
III) about tangent of circular ring \(\perp^{\mathrm{r}}\) to its plane
IV) about tangent of circular plate in its plane

1 III, IV, II, I
2 IV, III, I, II
3 IV, III, II, I
4 III, IV, I, II
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365920 The figure shows a planar body. \(\mathrm{I}_{x}, \mathrm{I}_{\mathrm{y}}\) and \(\mathrm{I}_{\mathrm{z}}\) are moment of inertias of the body about the \(x, \mathrm{y}\) and \(\mathrm{z}\) axes respectively. If \(\mathrm{I}_{\mathrm{z}}=\mathrm{I}_{x}+\mathrm{I}_{\mathrm{y}}\) then predict the correct option.
Theorem of perpendicular axes applicable to a planar body: \(x\) and \(y\) axes are two perpendicular axes in the plane and the \(z\)-axes is perpendicular to the plane.
supporting img

1 This theorem is applicable to only planar bodies
2 The intersection point can be outside the body but present in the plane of \(x y\).
3 The body must lie in the plane of \(x y\).
4 All the above.
NEET DIGITAL LIBRARY