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Engineering Mechanics

Engineering Mechanics
The moment of inertia of a solid cone of mass ‘m’ and base radius ‘r’ about its vertical axis is

2mr²/5
3mr²/10
4mr²/5
3mr²/5

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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 = IG / Ah2
IP = IG + Ah2
IP = Ah2 / IG

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Engineering Mechanics
In order to completely specify angular displacement by a vector, it must fix

Sense of angular displacement
Direction of the axis of rotation
Magnitude of angular displacement
All of these

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Engineering Mechanics
The velocity ratio of a differential wheel and axle with 'D' as the diameter of effort wheel and d1 and d2 as the diameters of larger and smaller axles respectively, is

D/(d₁ - d₂)
D/(d₁ + d₂)
2D/(d₁ - d₂)
2D/(d₁ + d₂)

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Engineering Mechanics
The linear velocity of a body rotating at ω rad/s along a circular path of radius r is given by

ω².r
ω.r
ω/r
ω²/r

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Engineering Mechanics
The velocity ratio of a differential pulley block with D and d as the diameters of larger and smaller pulley, is

D/(D + d)
2D/(D - d)
D/(D - d)
2D/(D + d)

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