A spherical body is symmetrical about its perpendicular axis. According to Routh's rule, the moment of inertia of a body about an axis passing through its centre of gravity is (where, M = Mass of the body, and S = Sum of the squares of the two semi-axes.)

Engineering Mechanics
A spherical body is symmetrical about its perpendicular axis. According to Routh's rule, the moment of inertia of a body about an axis passing through its centre of gravity is (where, M = Mass of the body, and S = Sum of the squares of the two semi-axes.)

None of these

MS/4

MS/3

MS/5

None of these

MS/4

MS/3

MS/5

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Engineering Mechanics
For a self locking machine, the efficiency must be

Equal to 50%

1

Greater than 50%

Less than 50%

Equal to 50%

1

Greater than 50%

Less than 50%

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Engineering Mechanics
The range of projectile (R) on an upward inclined plane is

g. cos² β/2u². sin (α + β). cos α

g. cos² β/2u². sin (α - β). cos α

2u². sin (α - β). cos α/g. cos² β

2u². sin (α + β). cos α/g. cos² β

g. cos² β/2u². sin (α + β). cos α

g. cos² β/2u². sin (α - β). cos α

2u². sin (α - β). cos α/g. cos² β

2u². sin (α + β). cos α/g. cos² β

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Engineering Mechanics
The centre of gravity of an isosceles triangle with base (p) and sides (q) from its base is

(4p² - q²)/6

(p² - q²)/4

[√(4p² - q²)]/6

(p² + q²)/4

(4p² - q²)/6

(p² - q²)/4

[√(4p² - q²)]/6

(p² + q²)/4

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Engineering Mechanics
The units of moment of inertia of mass are

m²/kg

kg-m²

kg/m²

kg/m

m²/kg

kg-m²

kg/m²

kg/m

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Engineering Mechanics
According to parallel axis theorem, the moment of inertia of a section about an axis parallel to the axis through center of gravity (i.e. IP) is given by(where, A = Area of the section, IG = Moment of inertia of the section about an axis passing through its C.G., and h = Distance between C.G. and the parallel axis.)

IP = IG - Ah2

IP = Ah2 / IG

IP = IG + Ah2

IP = IG / Ah2

IP = IG - Ah2

IP = Ah2 / IG

IP = IG + Ah2

IP = IG / Ah2

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Engineering Mechanics

Engineering Mechanics A spherical body is symmetrical about its perpendicular axis. According to Routh's rule, the moment of inertia of a body about an axis passing through its centre of gravity is (where, M = Mass of the body, and S = Sum of the squares of the two semi-axes.)

Engineering Mechanics For a self locking machine, the efficiency must be

Engineering Mechanics The range of projectile (R) on an upward inclined plane is

Engineering Mechanics The centre of gravity of an isosceles triangle with base (p) and sides (q) from its base is

Engineering Mechanics The units of moment of inertia of mass are

Engineering Mechanics
A spherical body is symmetrical about its perpendicular axis. According to Routh's rule, the moment of inertia of a body about an axis passing through its centre of gravity is (where, M = Mass of the body, and S = Sum of the squares of the two semi-axes.)

Engineering Mechanics
For a self locking machine, the efficiency must be

Engineering Mechanics
The range of projectile (R) on an upward inclined plane is

Engineering Mechanics
The centre of gravity of an isosceles triangle with base (p) and sides (q) from its base is

Engineering Mechanics
The units of moment of inertia of mass are