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Engineering Mechanics

Engineering Mechanics
The horizontal range of a projectile (R) is given by

R = u² cos2α/g
R = u² sin2α/g
R = u² cosα/g
R = u² sinα/g

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Engineering Mechanics
If n = number of members and y = number of joints, then for a perfect frame, n = ?

43865
43892
43832
43864

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Engineering Mechanics
A framed structure is perfect, if the number of members are __________ (2j - 3), where j is the number of joints.

None of these
Greater than
Equal to
Less than

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

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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/4
g/3
None of these
g/2

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Engineering Mechanics
The maximum velocity of a particle moving with simple harmonic motion is

ω
ω2r
ωr
ω/r

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