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Engineering Mechanics

Engineering Mechanics
The ratio of static friction to dynamic friction is always

Less than one
Equal to one
Greater than one
None of these

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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.)

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

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

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

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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

ω.r
ω²/r
ω/r
ω².r

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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

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Engineering Mechanics
A body of mass ‘m’ moving with a constant velocity ‘v’ strikes another body of same mass moving with same velocity but in opposite direction. The common velocity of both the bodies after collision is

v
2v
8v
4v

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