Moment of Inertia
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365943 Five solid spheres each of mass ' \(m\) ' and radius ' \(r\) ' are rotating about an axis \(A A\) ' as shown in figure. Hence the moment of inertia of the system about axis of rotation \(A A^{\prime}\) is
supporting img

1 \(5\,m{r^2}\)
2 \(4\,m{r^2}\)
3 \(3\,m{r^2}\)
4 \(6\,m{r^2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365944 The radius of gyration of a uniform rod of length \(\ell\), about an axis passing through a point \(\dfrac{\ell}{4}\) away from the centre of the rod, and perpendicular to it, is

1 \(\sqrt{\dfrac{3}{8} \ell}\)
2 \(\dfrac{1}{8} \ell\)
3 \(\sqrt{\dfrac{7}{48}} \ell\)
4 \(\dfrac{1}{4} \ell\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365945 A hoop of mass \(500\,gm\) & radius \(10\;cm\) is placed on a nail. Then the moment of inertia of the hoop, when it is rotated about the nail will be ____ \(kg{m^2}\).

1 0.05
2 0.02
3 0.01
4 0.03
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365946 Seven identical discs are arranged in a planar pattern, so as to touch each other as shown in the figure. Each disc has mass ' \(m\) ' and radius \(R\). What is the moment of inertia of system of six discs about an axis passing through the centre of central disc and normal to plane of all discs?
supporting img

1 \(55 \dfrac{m R^{2}}{2}\)
2 \(85 \dfrac{m R^{2}}{2}\)
3 \(27\,mR\)
4 \(100\,m{R^2}\)
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365943 Five solid spheres each of mass ' \(m\) ' and radius ' \(r\) ' are rotating about an axis \(A A\) ' as shown in figure. Hence the moment of inertia of the system about axis of rotation \(A A^{\prime}\) is
supporting img

1 \(5\,m{r^2}\)
2 \(4\,m{r^2}\)
3 \(3\,m{r^2}\)
4 \(6\,m{r^2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365944 The radius of gyration of a uniform rod of length \(\ell\), about an axis passing through a point \(\dfrac{\ell}{4}\) away from the centre of the rod, and perpendicular to it, is

1 \(\sqrt{\dfrac{3}{8} \ell}\)
2 \(\dfrac{1}{8} \ell\)
3 \(\sqrt{\dfrac{7}{48}} \ell\)
4 \(\dfrac{1}{4} \ell\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365945 A hoop of mass \(500\,gm\) & radius \(10\;cm\) is placed on a nail. Then the moment of inertia of the hoop, when it is rotated about the nail will be ____ \(kg{m^2}\).

1 0.05
2 0.02
3 0.01
4 0.03
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365946 Seven identical discs are arranged in a planar pattern, so as to touch each other as shown in the figure. Each disc has mass ' \(m\) ' and radius \(R\). What is the moment of inertia of system of six discs about an axis passing through the centre of central disc and normal to plane of all discs?
supporting img

1 \(55 \dfrac{m R^{2}}{2}\)
2 \(85 \dfrac{m R^{2}}{2}\)
3 \(27\,mR\)
4 \(100\,m{R^2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365943 Five solid spheres each of mass ' \(m\) ' and radius ' \(r\) ' are rotating about an axis \(A A\) ' as shown in figure. Hence the moment of inertia of the system about axis of rotation \(A A^{\prime}\) is
supporting img

1 \(5\,m{r^2}\)
2 \(4\,m{r^2}\)
3 \(3\,m{r^2}\)
4 \(6\,m{r^2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365944 The radius of gyration of a uniform rod of length \(\ell\), about an axis passing through a point \(\dfrac{\ell}{4}\) away from the centre of the rod, and perpendicular to it, is

1 \(\sqrt{\dfrac{3}{8} \ell}\)
2 \(\dfrac{1}{8} \ell\)
3 \(\sqrt{\dfrac{7}{48}} \ell\)
4 \(\dfrac{1}{4} \ell\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365945 A hoop of mass \(500\,gm\) & radius \(10\;cm\) is placed on a nail. Then the moment of inertia of the hoop, when it is rotated about the nail will be ____ \(kg{m^2}\).

1 0.05
2 0.02
3 0.01
4 0.03
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365946 Seven identical discs are arranged in a planar pattern, so as to touch each other as shown in the figure. Each disc has mass ' \(m\) ' and radius \(R\). What is the moment of inertia of system of six discs about an axis passing through the centre of central disc and normal to plane of all discs?
supporting img

1 \(55 \dfrac{m R^{2}}{2}\)
2 \(85 \dfrac{m R^{2}}{2}\)
3 \(27\,mR\)
4 \(100\,m{R^2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365943 Five solid spheres each of mass ' \(m\) ' and radius ' \(r\) ' are rotating about an axis \(A A\) ' as shown in figure. Hence the moment of inertia of the system about axis of rotation \(A A^{\prime}\) is
supporting img

1 \(5\,m{r^2}\)
2 \(4\,m{r^2}\)
3 \(3\,m{r^2}\)
4 \(6\,m{r^2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365944 The radius of gyration of a uniform rod of length \(\ell\), about an axis passing through a point \(\dfrac{\ell}{4}\) away from the centre of the rod, and perpendicular to it, is

1 \(\sqrt{\dfrac{3}{8} \ell}\)
2 \(\dfrac{1}{8} \ell\)
3 \(\sqrt{\dfrac{7}{48}} \ell\)
4 \(\dfrac{1}{4} \ell\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365945 A hoop of mass \(500\,gm\) & radius \(10\;cm\) is placed on a nail. Then the moment of inertia of the hoop, when it is rotated about the nail will be ____ \(kg{m^2}\).

1 0.05
2 0.02
3 0.01
4 0.03
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365946 Seven identical discs are arranged in a planar pattern, so as to touch each other as shown in the figure. Each disc has mass ' \(m\) ' and radius \(R\). What is the moment of inertia of system of six discs about an axis passing through the centre of central disc and normal to plane of all discs?
supporting img

1 \(55 \dfrac{m R^{2}}{2}\)
2 \(85 \dfrac{m R^{2}}{2}\)
3 \(27\,mR\)
4 \(100\,m{R^2}\)