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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
3mr²/5
4mr²/5
3mr²/10

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Engineering Mechanics
A weight of 1000 N can be lifted by an effort of 80 N. If the velocity ratio is 20, the machine is

None of these
Reversible
Ideal
Non-reversible

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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

2D/(D + d)
D/(D + d)
2D/(D - d)
D/(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 = Ah2 / IG
IP = IG - Ah2
IP = IG + Ah2
IP = IG / Ah2

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Engineering Mechanics
The moment of inertia of a solid cylinder of mass 'm', radius 'r' and length 'l' about the longitudinal axis or polar axis is

mr²/8
mr²/4
mr²/2
mr²/6

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Engineering Mechanics
The velocity of a particle (v) moving with simple harmonic motion, at any instant is given by (where, r = Amplitude of motion, and y = Displacement of the particle from mean position.)

ω.√(r² - y²)
ω².√(y² - r²)
ω².√(r² - y²)
ω.√(y² - r²)

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