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8 questions
The moment of inertia of a thin uniform rod about an
axis passing through its centre and perpendicular to
its length is I0 . What is the M.I. about an axis through
one end and ⊥ the rod ?
0.5I0
3I0
5I0
4I0
Two rings of the same mass and radius are placed such
that their centres are at a common point and their planes
are perpendicular to each other. The moment of inertia
of the system about an axis passing through the centre
and perpendicular to the plane of one of the rings is
(Take M = mass of each ring and R = radius of each
ring)
MR2
23MR2
2MR2
25MR2
Three-point masses 'm' each, are placed at the vertices of an equilateral triangle of side a. Moment of inertia of the system about axis COD is
2ma2
32ma2
45ma2
47ma2
A particle of mass 1 kg is kept at (1m, 1m, 1m). The moment of inertia of this particle about z axis would be
1 kg.m2
2 kg.m2
3 kg.m2
None of these
One quarter sector is cut from a uniform circular disc of radius R. This sector has mass M. It is made to rotate about a line perpendicular to its plane and passing through the centre of the original disc. Its moment of inertia about the axis of rotation as shown is
21MR2
41MR2
81MR2
161MR2
Two uniform, thin identical rods each of mass M and length I are joined together to form a cross. What will be the moment of inertia of the cross about an axis passing through the point at which the two rods are joined and perpendicular to the plane of the cross?
12Ml2
6Ml2
4Ml2
3Ml2
The figure shows a uniform solid block of mass M and edge lengths a, b and c. Its M.O.I. about an axis through one edge and perpendicular (as shown) to the large face of the block is
3M(a2+b2)
4M(a2+b2)
9M(a2+b2)
12M(a2+b2)
The moment of inertia of a cube of mass m and side a about one of its edges is equal to
32ma2
34ma2
36ma2
38ma2
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