Moment of Inertia
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365930 Seven identical circular planar disks, each of mass \(\mathrm{M}\) and radius \(\mathrm{R}\) are welded symmetrically as shown. The moment of inertia of the arrangement about the axis normal to the plane and passing through the point \(\mathrm{P}\) is:
supporting img

1 \(\dfrac{55}{2} M R^{2}\)
2 \(\dfrac{73}{2} M R^{2}\)
3 \(\dfrac{181}{2} M R^{2}\)
4 \(\dfrac{19}{2} M R^{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365931 Three identical thin rods, each of mass \(m\) and length \(\ell\), are joined to form an equilateral triangular frame. The moment of inertia of the frame about the axis parallel to its one side and passing through the opposite vertex is

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

365932 Two masses each of mass \(M\) are attached to the end of a rigid massless rod of length \(L\). The moment of inertia of the system about an axis passing centre of mass and perpendicular to its length is

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

365933 Four thin identical rods are joined to form a square as shown. If it is rotated along an axis passing through one side, then its moment of inertia is equal to
supporting img

1 \(\dfrac{8}{3} m l^{2}\)
2 \(\dfrac{2}{3} m l^{2}\)
3 \(\dfrac{6}{3} m l^{2}\)
4 \(\dfrac{5}{3} m l^{2}\)
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365930 Seven identical circular planar disks, each of mass \(\mathrm{M}\) and radius \(\mathrm{R}\) are welded symmetrically as shown. The moment of inertia of the arrangement about the axis normal to the plane and passing through the point \(\mathrm{P}\) is:
supporting img

1 \(\dfrac{55}{2} M R^{2}\)
2 \(\dfrac{73}{2} M R^{2}\)
3 \(\dfrac{181}{2} M R^{2}\)
4 \(\dfrac{19}{2} M R^{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365931 Three identical thin rods, each of mass \(m\) and length \(\ell\), are joined to form an equilateral triangular frame. The moment of inertia of the frame about the axis parallel to its one side and passing through the opposite vertex is

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

365932 Two masses each of mass \(M\) are attached to the end of a rigid massless rod of length \(L\). The moment of inertia of the system about an axis passing centre of mass and perpendicular to its length is

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

365933 Four thin identical rods are joined to form a square as shown. If it is rotated along an axis passing through one side, then its moment of inertia is equal to
supporting img

1 \(\dfrac{8}{3} m l^{2}\)
2 \(\dfrac{2}{3} m l^{2}\)
3 \(\dfrac{6}{3} m l^{2}\)
4 \(\dfrac{5}{3} m l^{2}\)
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NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365930 Seven identical circular planar disks, each of mass \(\mathrm{M}\) and radius \(\mathrm{R}\) are welded symmetrically as shown. The moment of inertia of the arrangement about the axis normal to the plane and passing through the point \(\mathrm{P}\) is:
supporting img

1 \(\dfrac{55}{2} M R^{2}\)
2 \(\dfrac{73}{2} M R^{2}\)
3 \(\dfrac{181}{2} M R^{2}\)
4 \(\dfrac{19}{2} M R^{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365931 Three identical thin rods, each of mass \(m\) and length \(\ell\), are joined to form an equilateral triangular frame. The moment of inertia of the frame about the axis parallel to its one side and passing through the opposite vertex is

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

365932 Two masses each of mass \(M\) are attached to the end of a rigid massless rod of length \(L\). The moment of inertia of the system about an axis passing centre of mass and perpendicular to its length is

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

365933 Four thin identical rods are joined to form a square as shown. If it is rotated along an axis passing through one side, then its moment of inertia is equal to
supporting img

1 \(\dfrac{8}{3} m l^{2}\)
2 \(\dfrac{2}{3} m l^{2}\)
3 \(\dfrac{6}{3} m l^{2}\)
4 \(\dfrac{5}{3} m l^{2}\)
NEET DIGITAL LIBRARY
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365930 Seven identical circular planar disks, each of mass \(\mathrm{M}\) and radius \(\mathrm{R}\) are welded symmetrically as shown. The moment of inertia of the arrangement about the axis normal to the plane and passing through the point \(\mathrm{P}\) is:
supporting img

1 \(\dfrac{55}{2} M R^{2}\)
2 \(\dfrac{73}{2} M R^{2}\)
3 \(\dfrac{181}{2} M R^{2}\)
4 \(\dfrac{19}{2} M R^{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365931 Three identical thin rods, each of mass \(m\) and length \(\ell\), are joined to form an equilateral triangular frame. The moment of inertia of the frame about the axis parallel to its one side and passing through the opposite vertex is

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

365932 Two masses each of mass \(M\) are attached to the end of a rigid massless rod of length \(L\). The moment of inertia of the system about an axis passing centre of mass and perpendicular to its length is

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

365933 Four thin identical rods are joined to form a square as shown. If it is rotated along an axis passing through one side, then its moment of inertia is equal to
supporting img

1 \(\dfrac{8}{3} m l^{2}\)
2 \(\dfrac{2}{3} m l^{2}\)
3 \(\dfrac{6}{3} m l^{2}\)
4 \(\dfrac{5}{3} m l^{2}\)
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