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Engineering Mechanics

Engineering Mechanics
The center of gravity of a semi-circle lies at a distance of __________ from its base measured along the vertical radius.

3r/ 8
8r/3
3r/4π
4r/ 3π

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

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Engineering Mechanics
A couple produces

Combined translatory and rotational motion
Rotational motion
None of these
Translatory motion

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Engineering Mechanics
If u₁ and u₂ are the velocities of two moving bodies in the same direction before impact and v₁ and v₂ are their velocities after impact, then coefficient of restitution is given by

(v₂ - v₁)/(u₁ - u₂)
(v₁ - v₂)/(u₁ - u₂)
(u₂ + u₁)/(v₂ + v₁)
(u₁ - u₂)/(v₁ - v₂)

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Engineering Mechanics
A screw jack used for lifting the loads is

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

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Engineering Mechanics
The force applied on a body of mass 100 kg to produce an acceleration of 5 m/s2, is

20 N
100 N
500 N
None of these

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