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Engineering Mechanics

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

None of these
Stable
Neutral
Unstable

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Engineering Mechanics
A spherical body is symmetrical about its perpendicular axis. According to Routh's rule, the moment of inertia of a body about an axis passing through its centre of gravity is (where, M = Mass of the body, and S = Sum of the squares of the two semi-axes.)

MS/4
MS/5
MS/3
None of these

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Engineering Mechanics
The velocity ratio of a single purchase crab winch can be increased by

Increasing the number of teeth of the pinion
Increasing the length of the handle
Increasing the radius of the load drum
All of these

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Engineering Mechanics
Center of gravity of a thin hollow cone lies on the axis at a height of

One-fourth of the total height above base
Three-eighth of the total height above the base
One-third of the total height above base
One-half of the total height above base

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Engineering Mechanics
In a screw jack, the effort required to lift the load is given by (where W = Load lifted, α = Helix angle, and φ = Angle of friction.)

P = W tan (φ - α)
P = W tan (α - φ)
P = W cos (α + φ)
P = W tan (α + φ)

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Engineering Mechanics
When two elastic bodies collide with each other,

All of these
The two bodies tend to compress and deform at the surface of contact
The two bodies begin to regain their original shape
The two bodies will momentarily come to rest after collision

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