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Engineering Mechanics

Engineering Mechanics
The moment of inertia of a square of side (a) about an axis through its center of gravity is

a4/12
a4/4
a4/8
a4/36

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Engineering Mechanics
Efficiency of a screw jack is given by (where α = Helix angle, and φ = Angle of friction.)

tan(α + φ)/tanα
tanα/tan (α + φ)
tan(α - φ)/tanα
None of these

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Engineering Mechanics
Centre of gravity of a solid cone lies on the axis at the height

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

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Engineering Mechanics
The law of the machine is (where P = Effort applied to lift the load, m = A constant which is equal to the slope of the line, W = Load lifted, and C = Another constant which represents the machine friction.)

P = mW + C
P = mW - C
P = m/W + C
P = C - mW

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Engineering Mechanics
A smooth cylinder lying on a __________ is in neutral equilibrium.

None of these
Horizontal surface
Convex surface
Curved surface

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

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