269315 The moment of inertia of a thin square plate ABCD of uniform thickness about an axis passing through the centre \(O\) and perpendicular to the plane of the plate is [IIT1992]

a) \(I_{1}+I_{3}\)
b) \(I_{2}+I_{4}\)
c) \(2 I_{1}+I_{3}\)
d) \(I_{1}+2 I_{3}\)

269316 Identify the correct order in which the ratio of radius of gyration to radius increases for the following bodies.
I) Rolling solid sphere II) Rolling solid cylinder
III) Rolling hollow cylinder
IV) Rolling hollow sphere

269317 Identify the increasing order of radius of gyration of following bodies of same radius
I) About natural axis of circular ring
II) About diameter of circular ring
III) About diameter of circular plate
IV) About diameter of solid sphere

269318 Identify the decreasing order of moments of inertia of the following bodies of same mass and same radius.
I) About diameter of circular ring
II) About diameter of circular plate
III) About tangent of circular ring \(\perp^{r}\) to its plane
IV) About tangent of circular plate in its plane

269319 Three dense point size bodies of same mass are attached at three vertices of a light equilateral triangular frame. Identify the increasing order of their moment of inertia about following axis.
I) About an axis \(\perp^{\text {r }}\) to plane and passing through a corner
II) About an axis \(\perp^{\mathrm{r}}\) to plane and passing through centre
III) About an axis passing through any side
IV) About \(\perp^{\mathrm{r}}\) bisector of any side

269315 The moment of inertia of a thin square plate ABCD of uniform thickness about an axis passing through the centre \(O\) and perpendicular to the plane of the plate is [IIT1992]

a) \(I_{1}+I_{3}\)
b) \(I_{2}+I_{4}\)
c) \(2 I_{1}+I_{3}\)
d) \(I_{1}+2 I_{3}\)

269316 Identify the correct order in which the ratio of radius of gyration to radius increases for the following bodies.
I) Rolling solid sphere II) Rolling solid cylinder
III) Rolling hollow cylinder
IV) Rolling hollow sphere

269317 Identify the increasing order of radius of gyration of following bodies of same radius
I) About natural axis of circular ring
II) About diameter of circular ring
III) About diameter of circular plate
IV) About diameter of solid sphere

269318 Identify the decreasing order of moments of inertia of the following bodies of same mass and same radius.
I) About diameter of circular ring
II) About diameter of circular plate
III) About tangent of circular ring \(\perp^{r}\) to its plane
IV) About tangent of circular plate in its plane

269319 Three dense point size bodies of same mass are attached at three vertices of a light equilateral triangular frame. Identify the increasing order of their moment of inertia about following axis.
I) About an axis \(\perp^{\text {r }}\) to plane and passing through a corner
II) About an axis \(\perp^{\mathrm{r}}\) to plane and passing through centre
III) About an axis passing through any side
IV) About \(\perp^{\mathrm{r}}\) bisector of any side

269315 The moment of inertia of a thin square plate ABCD of uniform thickness about an axis passing through the centre \(O\) and perpendicular to the plane of the plate is [IIT1992]

a) \(I_{1}+I_{3}\)
b) \(I_{2}+I_{4}\)
c) \(2 I_{1}+I_{3}\)
d) \(I_{1}+2 I_{3}\)

269316 Identify the correct order in which the ratio of radius of gyration to radius increases for the following bodies.
I) Rolling solid sphere II) Rolling solid cylinder
III) Rolling hollow cylinder
IV) Rolling hollow sphere

269317 Identify the increasing order of radius of gyration of following bodies of same radius
I) About natural axis of circular ring
II) About diameter of circular ring
III) About diameter of circular plate
IV) About diameter of solid sphere

269318 Identify the decreasing order of moments of inertia of the following bodies of same mass and same radius.
I) About diameter of circular ring
II) About diameter of circular plate
III) About tangent of circular ring \(\perp^{r}\) to its plane
IV) About tangent of circular plate in its plane

269319 Three dense point size bodies of same mass are attached at three vertices of a light equilateral triangular frame. Identify the increasing order of their moment of inertia about following axis.
I) About an axis \(\perp^{\text {r }}\) to plane and passing through a corner
II) About an axis \(\perp^{\mathrm{r}}\) to plane and passing through centre
III) About an axis passing through any side
IV) About \(\perp^{\mathrm{r}}\) bisector of any side

269315 The moment of inertia of a thin square plate ABCD of uniform thickness about an axis passing through the centre \(O\) and perpendicular to the plane of the plate is [IIT1992]

a) \(I_{1}+I_{3}\)
b) \(I_{2}+I_{4}\)
c) \(2 I_{1}+I_{3}\)
d) \(I_{1}+2 I_{3}\)

269316 Identify the correct order in which the ratio of radius of gyration to radius increases for the following bodies.
I) Rolling solid sphere II) Rolling solid cylinder
III) Rolling hollow cylinder
IV) Rolling hollow sphere

269317 Identify the increasing order of radius of gyration of following bodies of same radius
I) About natural axis of circular ring
II) About diameter of circular ring
III) About diameter of circular plate
IV) About diameter of solid sphere

269318 Identify the decreasing order of moments of inertia of the following bodies of same mass and same radius.
I) About diameter of circular ring
II) About diameter of circular plate
III) About tangent of circular ring \(\perp^{r}\) to its plane
IV) About tangent of circular plate in its plane

269319 Three dense point size bodies of same mass are attached at three vertices of a light equilateral triangular frame. Identify the increasing order of their moment of inertia about following axis.
I) About an axis \(\perp^{\text {r }}\) to plane and passing through a corner
II) About an axis \(\perp^{\mathrm{r}}\) to plane and passing through centre
III) About an axis passing through any side
IV) About \(\perp^{\mathrm{r}}\) bisector of any side

269315 The moment of inertia of a thin square plate ABCD of uniform thickness about an axis passing through the centre \(O\) and perpendicular to the plane of the plate is [IIT1992]

a) \(I_{1}+I_{3}\)
b) \(I_{2}+I_{4}\)
c) \(2 I_{1}+I_{3}\)
d) \(I_{1}+2 I_{3}\)

269316 Identify the correct order in which the ratio of radius of gyration to radius increases for the following bodies.
I) Rolling solid sphere II) Rolling solid cylinder
III) Rolling hollow cylinder
IV) Rolling hollow sphere

269317 Identify the increasing order of radius of gyration of following bodies of same radius
I) About natural axis of circular ring
II) About diameter of circular ring
III) About diameter of circular plate
IV) About diameter of solid sphere

269318 Identify the decreasing order of moments of inertia of the following bodies of same mass and same radius.
I) About diameter of circular ring
II) About diameter of circular plate
III) About tangent of circular ring \(\perp^{r}\) to its plane
IV) About tangent of circular plate in its plane

269319 Three dense point size bodies of same mass are attached at three vertices of a light equilateral triangular frame. Identify the increasing order of their moment of inertia about following axis.
I) About an axis \(\perp^{\text {r }}\) to plane and passing through a corner
II) About an axis \(\perp^{\mathrm{r}}\) to plane and passing through centre
III) About an axis passing through any side
IV) About \(\perp^{\mathrm{r}}\) bisector of any side