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Theory of Machine

Theory of Machine
The equation of free vibrations of a system is (d²x/dt²) +36 π²x, its natural frequency is

3 Hz
6π Hz
6 Hz
3π Hz

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Theory of Machine
In an open pair, the two elements of a pair

Have a surface contact when in motion
Have a line or point contact when in motion
Are kept in contact by the action of external forces, when in motion
Are not held together mechanically

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Theory of Machine
The displacement of the D-slide valve is __________ the steam lap by a distance known as lead of the valve.

Equal to
Less than
Greater than
None of these

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Theory of Machine
The balancing of a rigid rotor can be achieved by appropriately placing balancing masses in

Three planes
Two planes
A single plane
Four planes

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Theory of Machine
If the rotating mass of a rim type flywheel is distributed on another rim type flywheel whose mean radius is half the mean radius of the former, then energy stored in the latter at the same speed will be

One fourth of the first one
Same as the first one
Four times the first one
One and a half times the first one

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Theory of Machine
The natural frequency of free transverse vibrations due to uniformly distributed load acting over a simply supported shaft is (where δS = Static deflection of simply supported shaft due to uniformly distributed load)

0.571/ √δS
0.6253/ √δS
0.5615/ √δS
0.4985/ √δS

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