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Theory of Machine

Theory of Machine
With usual notations for different parameters involved, the maximum fluctuations of energy for a flywheel is given by

EC S/2
2E²CS
2ECS
2ECS²

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Theory of Machine
When a shaking force is transmitted through the springs, damping becomes detrimental when the ratio of its frequency to the natural frequency is greater than

0.5
1
2
0.25

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Theory of Machine
In a mechanism, usually one link is fixed. If the fixed link is changed in a kinematic chain, then relative motion of other links

Will not occur
Could change or remain unaltered depending on which link is fixed
Will remain same
Will change

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Theory of Machine
When the sleeve of a Porter governor moves downwards, the governor speed

Increases
Remain unaffected
Decreases
First increases and then decreases

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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)

1/2π
2π. √(q/I)
2π qI
(1/2π). √(q/I)

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Theory of Machine
The natural frequency of free longitudinal vibrations is equal to (where m = Mass of the body, s = Stiffness of the body, and δ = Static deflection of the body)

1/2π × √(s/m)
1/2π × √(g/δ)
Any one of the listed here
0.4985/√δ

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