Moment of Inertia
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365900 Five particles of each mass \(2\;kg\) are attached to the rim of a circular disc of radius \(0.1\,\;m\) and negligible mass. Moment of inertia of the system about the axis passing through the centre of the disc and perpendicular to its place is

1 \(1\;kg - {m^2}\)
2 \(0.1\;kg - {m^2}\)
3 \(2\;kg - {m^2}\)
4 \(0.2\;kg - {m^2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365901 The moment of inertia of two equal masses each of mass \(m\) at separation \(L\) connected by a rod of mass \(M\), about an axis passing through centre and perpendicular to length of rod is

1 \(\dfrac{(M+3 m) L^{2}}{12}\)
2 \(\dfrac{(M+6 m) L^{2}}{12}\)
3 \(\dfrac{M L^{2}}{4}\)
4 \(\dfrac{M L^{2}}{12}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365902 The moment of inertia of a solid sphere about its diameter is \({I}\). Two such spheres are arranged, as shown in the figure. The moment of inertia of system about axis \({Y Y^{\prime}}\) will be
supporting img

1 \({2 I}\)
2 \({\dfrac{7 I}{2}}\)
3 \({\dfrac{9 I}{2}}\)
4 \({\dfrac{5 I}{2}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365903 Three identical spherical shells, each of mass \(2\;kg\) and radius \(10\;cm\) are placed as shown in figure.Consider an axis \(XX'\) which is touching to two shells and passing through diameter of third shell. Moment of inertia of the system consisting of these three spherical shells about \(XX'\) axis is
supporting img

1 \(0.08\,kg\,{m^2}\)
2 \(0.01\,kg\,{m^2}\)
3 \(0.15\,kg\,{m^2}\)
4 \(0.25\,kg\,{m^2}\)
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365900 Five particles of each mass \(2\;kg\) are attached to the rim of a circular disc of radius \(0.1\,\;m\) and negligible mass. Moment of inertia of the system about the axis passing through the centre of the disc and perpendicular to its place is

1 \(1\;kg - {m^2}\)
2 \(0.1\;kg - {m^2}\)
3 \(2\;kg - {m^2}\)
4 \(0.2\;kg - {m^2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365901 The moment of inertia of two equal masses each of mass \(m\) at separation \(L\) connected by a rod of mass \(M\), about an axis passing through centre and perpendicular to length of rod is

1 \(\dfrac{(M+3 m) L^{2}}{12}\)
2 \(\dfrac{(M+6 m) L^{2}}{12}\)
3 \(\dfrac{M L^{2}}{4}\)
4 \(\dfrac{M L^{2}}{12}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365902 The moment of inertia of a solid sphere about its diameter is \({I}\). Two such spheres are arranged, as shown in the figure. The moment of inertia of system about axis \({Y Y^{\prime}}\) will be
supporting img

1 \({2 I}\)
2 \({\dfrac{7 I}{2}}\)
3 \({\dfrac{9 I}{2}}\)
4 \({\dfrac{5 I}{2}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365903 Three identical spherical shells, each of mass \(2\;kg\) and radius \(10\;cm\) are placed as shown in figure.Consider an axis \(XX'\) which is touching to two shells and passing through diameter of third shell. Moment of inertia of the system consisting of these three spherical shells about \(XX'\) axis is
supporting img

1 \(0.08\,kg\,{m^2}\)
2 \(0.01\,kg\,{m^2}\)
3 \(0.15\,kg\,{m^2}\)
4 \(0.25\,kg\,{m^2}\)
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365900 Five particles of each mass \(2\;kg\) are attached to the rim of a circular disc of radius \(0.1\,\;m\) and negligible mass. Moment of inertia of the system about the axis passing through the centre of the disc and perpendicular to its place is

1 \(1\;kg - {m^2}\)
2 \(0.1\;kg - {m^2}\)
3 \(2\;kg - {m^2}\)
4 \(0.2\;kg - {m^2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365901 The moment of inertia of two equal masses each of mass \(m\) at separation \(L\) connected by a rod of mass \(M\), about an axis passing through centre and perpendicular to length of rod is

1 \(\dfrac{(M+3 m) L^{2}}{12}\)
2 \(\dfrac{(M+6 m) L^{2}}{12}\)
3 \(\dfrac{M L^{2}}{4}\)
4 \(\dfrac{M L^{2}}{12}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365902 The moment of inertia of a solid sphere about its diameter is \({I}\). Two such spheres are arranged, as shown in the figure. The moment of inertia of system about axis \({Y Y^{\prime}}\) will be
supporting img

1 \({2 I}\)
2 \({\dfrac{7 I}{2}}\)
3 \({\dfrac{9 I}{2}}\)
4 \({\dfrac{5 I}{2}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365903 Three identical spherical shells, each of mass \(2\;kg\) and radius \(10\;cm\) are placed as shown in figure.Consider an axis \(XX'\) which is touching to two shells and passing through diameter of third shell. Moment of inertia of the system consisting of these three spherical shells about \(XX'\) axis is
supporting img

1 \(0.08\,kg\,{m^2}\)
2 \(0.01\,kg\,{m^2}\)
3 \(0.15\,kg\,{m^2}\)
4 \(0.25\,kg\,{m^2}\)
NEET DIGITAL LIBRARY
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365900 Five particles of each mass \(2\;kg\) are attached to the rim of a circular disc of radius \(0.1\,\;m\) and negligible mass. Moment of inertia of the system about the axis passing through the centre of the disc and perpendicular to its place is

1 \(1\;kg - {m^2}\)
2 \(0.1\;kg - {m^2}\)
3 \(2\;kg - {m^2}\)
4 \(0.2\;kg - {m^2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365901 The moment of inertia of two equal masses each of mass \(m\) at separation \(L\) connected by a rod of mass \(M\), about an axis passing through centre and perpendicular to length of rod is

1 \(\dfrac{(M+3 m) L^{2}}{12}\)
2 \(\dfrac{(M+6 m) L^{2}}{12}\)
3 \(\dfrac{M L^{2}}{4}\)
4 \(\dfrac{M L^{2}}{12}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365902 The moment of inertia of a solid sphere about its diameter is \({I}\). Two such spheres are arranged, as shown in the figure. The moment of inertia of system about axis \({Y Y^{\prime}}\) will be
supporting img

1 \({2 I}\)
2 \({\dfrac{7 I}{2}}\)
3 \({\dfrac{9 I}{2}}\)
4 \({\dfrac{5 I}{2}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365903 Three identical spherical shells, each of mass \(2\;kg\) and radius \(10\;cm\) are placed as shown in figure.Consider an axis \(XX'\) which is touching to two shells and passing through diameter of third shell. Moment of inertia of the system consisting of these three spherical shells about \(XX'\) axis is
supporting img

1 \(0.08\,kg\,{m^2}\)
2 \(0.01\,kg\,{m^2}\)
3 \(0.15\,kg\,{m^2}\)
4 \(0.25\,kg\,{m^2}\)
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