Moment of Inertia
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365908 Moment of inertia of a solid cylinder of mass \(m_{1}\) length \(L\) and diameter \(D\) about an axis passing through its centre of mass and perpendicular to its geometric axis is

1 \(m\left(\dfrac{L^{2}}{12}+\dfrac{D^{2}}{16}\right)\)
2 \(m\left(\dfrac{L^{2}}{16}+\dfrac{D^{2}}{8}\right)\)
3 \(m\left(\dfrac{D^{2}}{4}+\dfrac{L^{2}}{12}\right)\)
4 \(m\left(\dfrac{D^{2}}{4}+\dfrac{L^{2}}{6}\right)\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365909 Four identical thin rods each of mass \(M\) and length \(l\), form a square frame. Moment of inertia of this frame about an axis through the centre of the square and perpendicular to its plane is

1 \(\dfrac{1}{3} M l^{2}\)
2 \(\dfrac{4}{3} M l^{2}\)
3 \(\dfrac{13}{3} M l^{2}\)
4 \(\dfrac{2}{3} M l^{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365910 The radius of gyration of a thin uniform circular disc (of radius \(R\) ) about an axis passing through its centre and lying in its plane is

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

365911 Radius of gyration of a body depends on

1 Mass and size of body
2 Mass distribution and axis of rotation
3 Size of the body
4 Mass of body
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365912 Moment of inertia of a body about two perpendicular axes \(X\) and \(Y\) in the plane of lamina are \(20\;kg\;{m^2}\) and \(25\;kg\;{m^2}\) respectively. Its moment of inertia about an axis perpendicular to the plane of the lamina and passing through the point of intersection of \(X\) and \(Y\) axes is

1 \(5\;kg\;{m^2}\)
2 \(45\;kg\;{m^2}\)
3 \(12.5\;kg\;{m^2}\)
4 \(500\;kg\;{m^2}\)
KCET - 2018
NEET DIGITAL LIBRARY
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365908 Moment of inertia of a solid cylinder of mass \(m_{1}\) length \(L\) and diameter \(D\) about an axis passing through its centre of mass and perpendicular to its geometric axis is

1 \(m\left(\dfrac{L^{2}}{12}+\dfrac{D^{2}}{16}\right)\)
2 \(m\left(\dfrac{L^{2}}{16}+\dfrac{D^{2}}{8}\right)\)
3 \(m\left(\dfrac{D^{2}}{4}+\dfrac{L^{2}}{12}\right)\)
4 \(m\left(\dfrac{D^{2}}{4}+\dfrac{L^{2}}{6}\right)\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365909 Four identical thin rods each of mass \(M\) and length \(l\), form a square frame. Moment of inertia of this frame about an axis through the centre of the square and perpendicular to its plane is

1 \(\dfrac{1}{3} M l^{2}\)
2 \(\dfrac{4}{3} M l^{2}\)
3 \(\dfrac{13}{3} M l^{2}\)
4 \(\dfrac{2}{3} M l^{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365910 The radius of gyration of a thin uniform circular disc (of radius \(R\) ) about an axis passing through its centre and lying in its plane is

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

365911 Radius of gyration of a body depends on

1 Mass and size of body
2 Mass distribution and axis of rotation
3 Size of the body
4 Mass of body
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365912 Moment of inertia of a body about two perpendicular axes \(X\) and \(Y\) in the plane of lamina are \(20\;kg\;{m^2}\) and \(25\;kg\;{m^2}\) respectively. Its moment of inertia about an axis perpendicular to the plane of the lamina and passing through the point of intersection of \(X\) and \(Y\) axes is

1 \(5\;kg\;{m^2}\)
2 \(45\;kg\;{m^2}\)
3 \(12.5\;kg\;{m^2}\)
4 \(500\;kg\;{m^2}\)
KCET - 2018
Join With Us for More Updates
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365908 Moment of inertia of a solid cylinder of mass \(m_{1}\) length \(L\) and diameter \(D\) about an axis passing through its centre of mass and perpendicular to its geometric axis is

1 \(m\left(\dfrac{L^{2}}{12}+\dfrac{D^{2}}{16}\right)\)
2 \(m\left(\dfrac{L^{2}}{16}+\dfrac{D^{2}}{8}\right)\)
3 \(m\left(\dfrac{D^{2}}{4}+\dfrac{L^{2}}{12}\right)\)
4 \(m\left(\dfrac{D^{2}}{4}+\dfrac{L^{2}}{6}\right)\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365909 Four identical thin rods each of mass \(M\) and length \(l\), form a square frame. Moment of inertia of this frame about an axis through the centre of the square and perpendicular to its plane is

1 \(\dfrac{1}{3} M l^{2}\)
2 \(\dfrac{4}{3} M l^{2}\)
3 \(\dfrac{13}{3} M l^{2}\)
4 \(\dfrac{2}{3} M l^{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365910 The radius of gyration of a thin uniform circular disc (of radius \(R\) ) about an axis passing through its centre and lying in its plane is

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

365911 Radius of gyration of a body depends on

1 Mass and size of body
2 Mass distribution and axis of rotation
3 Size of the body
4 Mass of body
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365912 Moment of inertia of a body about two perpendicular axes \(X\) and \(Y\) in the plane of lamina are \(20\;kg\;{m^2}\) and \(25\;kg\;{m^2}\) respectively. Its moment of inertia about an axis perpendicular to the plane of the lamina and passing through the point of intersection of \(X\) and \(Y\) axes is

1 \(5\;kg\;{m^2}\)
2 \(45\;kg\;{m^2}\)
3 \(12.5\;kg\;{m^2}\)
4 \(500\;kg\;{m^2}\)
KCET - 2018
For More Updates join with Us
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365908 Moment of inertia of a solid cylinder of mass \(m_{1}\) length \(L\) and diameter \(D\) about an axis passing through its centre of mass and perpendicular to its geometric axis is

1 \(m\left(\dfrac{L^{2}}{12}+\dfrac{D^{2}}{16}\right)\)
2 \(m\left(\dfrac{L^{2}}{16}+\dfrac{D^{2}}{8}\right)\)
3 \(m\left(\dfrac{D^{2}}{4}+\dfrac{L^{2}}{12}\right)\)
4 \(m\left(\dfrac{D^{2}}{4}+\dfrac{L^{2}}{6}\right)\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365909 Four identical thin rods each of mass \(M\) and length \(l\), form a square frame. Moment of inertia of this frame about an axis through the centre of the square and perpendicular to its plane is

1 \(\dfrac{1}{3} M l^{2}\)
2 \(\dfrac{4}{3} M l^{2}\)
3 \(\dfrac{13}{3} M l^{2}\)
4 \(\dfrac{2}{3} M l^{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365910 The radius of gyration of a thin uniform circular disc (of radius \(R\) ) about an axis passing through its centre and lying in its plane is

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

365911 Radius of gyration of a body depends on

1 Mass and size of body
2 Mass distribution and axis of rotation
3 Size of the body
4 Mass of body
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365912 Moment of inertia of a body about two perpendicular axes \(X\) and \(Y\) in the plane of lamina are \(20\;kg\;{m^2}\) and \(25\;kg\;{m^2}\) respectively. Its moment of inertia about an axis perpendicular to the plane of the lamina and passing through the point of intersection of \(X\) and \(Y\) axes is

1 \(5\;kg\;{m^2}\)
2 \(45\;kg\;{m^2}\)
3 \(12.5\;kg\;{m^2}\)
4 \(500\;kg\;{m^2}\)
KCET - 2018
NEET DIGITAL LIBRARY
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365908 Moment of inertia of a solid cylinder of mass \(m_{1}\) length \(L\) and diameter \(D\) about an axis passing through its centre of mass and perpendicular to its geometric axis is

1 \(m\left(\dfrac{L^{2}}{12}+\dfrac{D^{2}}{16}\right)\)
2 \(m\left(\dfrac{L^{2}}{16}+\dfrac{D^{2}}{8}\right)\)
3 \(m\left(\dfrac{D^{2}}{4}+\dfrac{L^{2}}{12}\right)\)
4 \(m\left(\dfrac{D^{2}}{4}+\dfrac{L^{2}}{6}\right)\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365909 Four identical thin rods each of mass \(M\) and length \(l\), form a square frame. Moment of inertia of this frame about an axis through the centre of the square and perpendicular to its plane is

1 \(\dfrac{1}{3} M l^{2}\)
2 \(\dfrac{4}{3} M l^{2}\)
3 \(\dfrac{13}{3} M l^{2}\)
4 \(\dfrac{2}{3} M l^{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365910 The radius of gyration of a thin uniform circular disc (of radius \(R\) ) about an axis passing through its centre and lying in its plane is

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

365911 Radius of gyration of a body depends on

1 Mass and size of body
2 Mass distribution and axis of rotation
3 Size of the body
4 Mass of body
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365912 Moment of inertia of a body about two perpendicular axes \(X\) and \(Y\) in the plane of lamina are \(20\;kg\;{m^2}\) and \(25\;kg\;{m^2}\) respectively. Its moment of inertia about an axis perpendicular to the plane of the lamina and passing through the point of intersection of \(X\) and \(Y\) axes is

1 \(5\;kg\;{m^2}\)
2 \(45\;kg\;{m^2}\)
3 \(12.5\;kg\;{m^2}\)
4 \(500\;kg\;{m^2}\)
KCET - 2018