MOMENT OF INERTIA --STEP II Online Test

The moment of inertia of a sphere of mass m and radius r about diameter as axis is given by
2 m r2 3
2 m r2 5
1 m r2 2
3 m r2 5
The moment of inertia of a thin circular ring with radius r and mass m about an axis through its centre and perpendicular to its plane would be
mr2
1 m r2 2
3 m r2 2
5 m r2 4
The moment of inertia of a solid sphere of mass m and radius r with respect to any diameter is
1 m r2 2
m r2
2 m r2 3
5 m r2 4
The moment of inertia of a thin spherical shell of mass m and radius r about diameter as an axis is
1 m r2 2
m r2
2 m r2 3
2 m r2 5
Consider a circular cylinder of mass m, radius r and length l. The moment of inertia with respect to central longitudinal axis would be
m r2/2
m r2/3
m r2/6
m r2/12
The moment of inertia about diagonal of a square plate of side a is
a4/12
a4/6
a4/3
The ratio of moment of inertia of a circle and that of a square having same area about their centroidal axis is
The moment of inertia of a uniform rod of mass m and length l about an axis through its centre and perpendicular to the length of rod is
m l/6
m l2/12, m l/6
m l2/8
m l2/3
The moment of inertia of a triangle of base width b and height h with respect to its base would be
bh3/8
bh3/12
bh3/24
bh3/36
For a solid cone of height h, the CG lies on the axis at a distance above the base equal to
h/4
h/3
2h/3
3h/8
Description:

Here only formulae for M.I. for different size and shape has been considered. They are sphere, rectangle triangle to name a few

Discussion

please solve a problem relevant to moment of inertia.question is
find moment of inertia of a rectangular lamina of lenghts 2a and 2b of mass m about one of its diagonal????
anynone tell me the correct answer??//

2462 days 16 minutes ago

Kajal Sengupta
Physics 9th to 12 th grade,CIE, Edexcel, AP, IB , CBSE, ICSE 87 Members Recommend
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