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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

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

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

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

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