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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
a4/8
a4/4
a4/36

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Engineering Mechanics
The moment of inertia of a thin disc of mass ‘m’ and radius ‘r’, about an axis through its center of gravity and perpendicular to the plane of the disc is

mr²/6
mr²/2
mr²/8
mr²/4

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

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Engineering Mechanics
The time of flight (t) of a projectile on a horizontal plane is given by

t = 2u. cosα/g
t = 2u. tanα/g
t = 2u/g.sinα
t = 2u. sinα/g

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

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

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Engineering Mechanics
If tension in the cable supporting a lift moving downwards is half the tension when it is moving upwards, the acceleration of the lift is

g/2
g/4
None of these
g/3

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