Moment of Inertia
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365934 A rod of mass \(2\;m\) and \(2\ell \) length is bent into \(L\) shape at its mid point. The moment of inertia at its mid point is.

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

365935 A square frame \(A B C D\) is formed by four identical rods each of mass \(m\) and length \(l\). This frame is in \(x y\) - plane such that side \(AB\) coincides with \(X\) - axis and side \(AD\) along \(Y\) - axis. The moment of inertia of the frame about \(X\) - axis is

1 \(\dfrac{5 m l^{2}}{3}\)
2 \(\dfrac{2 m l^{2}}{3}\)
3 \(\dfrac{4 m l^{2}}{3}\)
4 \(\dfrac{m l^{2}}{12}\)
MHTCET - 2018
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365936 Two spheres each of mass \(M\) and radius \(R / 2\) are connected with a mass less rod of length \(2R\) as shown in the figure. The moment of inertia of the system about an axis passing through the centre of one of the spheres and perpendicular to the rod
supporting img

1 \(\dfrac{21}{5} M R^{2}\)
2 \(\dfrac{2}{5} M R^{2}\)
3 \(\dfrac{5}{2} M R^{2}\)
4 \(\dfrac{5}{21} M R^{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365937 A thin rod of length \(L\) and mass \(M\) is bent at the middle point \(O\) at an angle of \(60^{\circ}\). The moment of inertia of the rod about an axis passing through \(O\) and perpendicular to the plane of the rod will be
supporting img

1 \(\dfrac{M L^{2}}{12}\)
2 \(\dfrac{M L^{2}}{3}\)
3 \(\dfrac{M L^{2}}{6}\)
4 \(\dfrac{M L^{2}}{24}\)
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365934 A rod of mass \(2\;m\) and \(2\ell \) length is bent into \(L\) shape at its mid point. The moment of inertia at its mid point is.

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

365935 A square frame \(A B C D\) is formed by four identical rods each of mass \(m\) and length \(l\). This frame is in \(x y\) - plane such that side \(AB\) coincides with \(X\) - axis and side \(AD\) along \(Y\) - axis. The moment of inertia of the frame about \(X\) - axis is

1 \(\dfrac{5 m l^{2}}{3}\)
2 \(\dfrac{2 m l^{2}}{3}\)
3 \(\dfrac{4 m l^{2}}{3}\)
4 \(\dfrac{m l^{2}}{12}\)
MHTCET - 2018
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365936 Two spheres each of mass \(M\) and radius \(R / 2\) are connected with a mass less rod of length \(2R\) as shown in the figure. The moment of inertia of the system about an axis passing through the centre of one of the spheres and perpendicular to the rod
supporting img

1 \(\dfrac{21}{5} M R^{2}\)
2 \(\dfrac{2}{5} M R^{2}\)
3 \(\dfrac{5}{2} M R^{2}\)
4 \(\dfrac{5}{21} M R^{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365937 A thin rod of length \(L\) and mass \(M\) is bent at the middle point \(O\) at an angle of \(60^{\circ}\). The moment of inertia of the rod about an axis passing through \(O\) and perpendicular to the plane of the rod will be
supporting img

1 \(\dfrac{M L^{2}}{12}\)
2 \(\dfrac{M L^{2}}{3}\)
3 \(\dfrac{M L^{2}}{6}\)
4 \(\dfrac{M L^{2}}{24}\)
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365934 A rod of mass \(2\;m\) and \(2\ell \) length is bent into \(L\) shape at its mid point. The moment of inertia at its mid point is.

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

365935 A square frame \(A B C D\) is formed by four identical rods each of mass \(m\) and length \(l\). This frame is in \(x y\) - plane such that side \(AB\) coincides with \(X\) - axis and side \(AD\) along \(Y\) - axis. The moment of inertia of the frame about \(X\) - axis is

1 \(\dfrac{5 m l^{2}}{3}\)
2 \(\dfrac{2 m l^{2}}{3}\)
3 \(\dfrac{4 m l^{2}}{3}\)
4 \(\dfrac{m l^{2}}{12}\)
MHTCET - 2018
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365936 Two spheres each of mass \(M\) and radius \(R / 2\) are connected with a mass less rod of length \(2R\) as shown in the figure. The moment of inertia of the system about an axis passing through the centre of one of the spheres and perpendicular to the rod
supporting img

1 \(\dfrac{21}{5} M R^{2}\)
2 \(\dfrac{2}{5} M R^{2}\)
3 \(\dfrac{5}{2} M R^{2}\)
4 \(\dfrac{5}{21} M R^{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365937 A thin rod of length \(L\) and mass \(M\) is bent at the middle point \(O\) at an angle of \(60^{\circ}\). The moment of inertia of the rod about an axis passing through \(O\) and perpendicular to the plane of the rod will be
supporting img

1 \(\dfrac{M L^{2}}{12}\)
2 \(\dfrac{M L^{2}}{3}\)
3 \(\dfrac{M L^{2}}{6}\)
4 \(\dfrac{M L^{2}}{24}\)
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365934 A rod of mass \(2\;m\) and \(2\ell \) length is bent into \(L\) shape at its mid point. The moment of inertia at its mid point is.

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

365935 A square frame \(A B C D\) is formed by four identical rods each of mass \(m\) and length \(l\). This frame is in \(x y\) - plane such that side \(AB\) coincides with \(X\) - axis and side \(AD\) along \(Y\) - axis. The moment of inertia of the frame about \(X\) - axis is

1 \(\dfrac{5 m l^{2}}{3}\)
2 \(\dfrac{2 m l^{2}}{3}\)
3 \(\dfrac{4 m l^{2}}{3}\)
4 \(\dfrac{m l^{2}}{12}\)
MHTCET - 2018
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365936 Two spheres each of mass \(M\) and radius \(R / 2\) are connected with a mass less rod of length \(2R\) as shown in the figure. The moment of inertia of the system about an axis passing through the centre of one of the spheres and perpendicular to the rod
supporting img

1 \(\dfrac{21}{5} M R^{2}\)
2 \(\dfrac{2}{5} M R^{2}\)
3 \(\dfrac{5}{2} M R^{2}\)
4 \(\dfrac{5}{21} M R^{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365937 A thin rod of length \(L\) and mass \(M\) is bent at the middle point \(O\) at an angle of \(60^{\circ}\). The moment of inertia of the rod about an axis passing through \(O\) and perpendicular to the plane of the rod will be
supporting img

1 \(\dfrac{M L^{2}}{12}\)
2 \(\dfrac{M L^{2}}{3}\)
3 \(\dfrac{M L^{2}}{6}\)
4 \(\dfrac{M L^{2}}{24}\)
For More Updates join with Us
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here