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Engineering Mechanics

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

Stable
Neutral
None of these
Unstable

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

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Engineering Mechanics
When the lift is moving upwards with some acceleration, the pressure exerted by a man is __________ to its acceleration.

None of these
Inversely proportional
Cube root
Directly proportional

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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
The maximum velocity of a particle moving with simple harmonic motion is

ω2r
ω/r
ωr
ω

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Engineering Mechanics
Two like parallel forces are acting at a distance of 24 mm apart and their resultant is 20 N. It the line of action of the resultant is 6 mm from any given force, the two forces are

15 N and 5 N
None of these
15 N and 15 N
20 N and 5 N

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