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Engineering Mechanics

Engineering Mechanics
In ideal machines, mechanical advantage is __________ velocity ratio.

Equal to
None of these
Less than
Greater than

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Engineering Mechanics
The time of flight (t) of a projectile on an upward inclined plane is(where u = Velocity of projection, α = Angle of projection, and β = Inclination of the plane with the horizontal.)

t = g cos β/2u sin (α + β)
t = 2u sin (α + β)/g cos β
t = g cos β/2u sin (α - β)
t = 2u sin (α - β)/g cos β

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Engineering Mechanics
A body of weight 'W' is required to move up on rough inclined plane whose angle of inclination with the horizontal is 'α'. The effort applied parallel to the plane is given by (where μ = tanφ = Coefficient of friction between the plane and the body.)

P = W tan (α + φ)
P = W (sinα + μcosα)
P = W (cosα + μsinα)
P = W tanα

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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
A smooth cylinder lying on its convex surface remains in __________ equilibrium.

Unstable
Stable
None of these
Neutral

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Engineering Mechanics
The acceleration of a body sliding down an inclined surface is

g cosθ
g sinθ
None of these
g tanθ

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