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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/4π
3r/ 8
4r/ 3π
8r/3

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Engineering Mechanics
The equivalent length of a simple pendulum which gives the same frequency as compound pendulum is

(kG² + h²)/h²
h²/(kG² + h²)
h/(kG² + h²)
(kG² + h²)/h

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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
Which of the following is an equation of linear motion?(where, u and v = Initial and final velocity of the body, a = Acceleration of the body, and s = Displacement of the body in time t seconds.)

v = u + a.t
v2 = u2 + 2a.s
s = u.t + ½ a.t2
All of these

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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
None of these
g/2
g/3

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Engineering Mechanics
When a body of mass moment of inertia 'I' (about a given axis) is rotated about that axis with an angular velocity to, then the kinetic energy of rotation is

Iω2
0.5 Iω2
Iω
0.5 Iω

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