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Engineering Mechanics

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

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

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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
The moment of inertia of a sphere of mass 'm' and radius 'r', about an axis tangential to it, is

7mr²/5
2mr²/5
7mr²/3
2mr²/3

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Engineering Mechanics
Moment of inertia of a rectangular section having width (b) and depth (d) about an axis passing through its C.G. and parallel to the depth (d), is

bd³/12
db³/36
bd³/36
db³/12

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Engineering Mechanics
The moment of inertia of a rectangular section 3 cm wide and 4 cm deep about X-X axis is

12 cm4
16 cm4
9 cm4
20 cm4

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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
[√(4p² - q²)]/6
(p² - q²)/4
(p² + q²)/4

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