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Theory of Machine

Theory of Machine
The periodic time of one oscillation for a simple pendulum is

(1/2π). √(l/g)
2π. √(l/g)
(1/2π). √(g/l)
2π. √(g/l)

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Theory of Machine
When the crank is at the inner dead center, in a reciprocating steam engine, then the acceleration of the piston will be

ω²r. (n + 1)/n
ω²r. (n - 1)/n
ω²r. n/(n + 1)
ω²r. n/(n - 1)

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Theory of Machine
The frequency of oscillation at compared to earth will be

2.44 times less
6 times more
6 times less
2.44 times more

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Theory of Machine
The natural frequency of free torsional vibrations of a shaft is equal to (where q = Torsional stiffness of the shaft, and I = Mass moment of inertia of the disc attached at the end of a shaft)

2π qI
(1/2π). √(q/I)
1/2π
2π. √(q/I)

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Theory of Machine
Governor is used in automobile to

Maintain constant engine speed
Limit the vehicle speed
Maximize the fuel economy
Decrease the variation of speed

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Theory of Machine
The instantaneous center of a rigid thin disc rolling on a plane rigid surface is located at

The point of contact
The point on the circumference situated vertically opposite to the contact point
The center of the disc
An infinite distance on the plane surface

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