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Engineering Mechanics

Engineering Mechanics
The range of projectile will be maximum for a given velocity of projectile, when the angle of projection (α) is

β/2
45° + β/2
30° + β/2
60° + β/2

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

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Engineering Mechanics
The algebraic sum of moments of the forces forming couple about any point in their plane is

Constant
Equal to the moment of the couple
Both of above are wrong
Both of above are correct

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Engineering Mechanics
The rate of change of displacement of a body is called

Velocity
Acceleration
Momentum
None of these

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Engineering Mechanics
The frequency of oscillation of a compound pendulum is (where kG = Radius of gyration about the centroidal axis, and h = Distance between the point of suspension and C.G. of the body.)

1/2π. √(kG² + h²/gh)
2π. √(gh/kG² + h²)
1/2π. √(gh/kG² + h²)
2π. √(kG² + h²/gh)

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Engineering Mechanics
A screw jack used for lifting the loads is

A reversible machine
An ideal machine
None of these
A non-reversible machine

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