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Theory of Machine

Theory of Machine
If ω/ωn is very low for a body vibrating under steady state vibrations, the phase angle for all values of damping factors, will tend to approach

180°
360°
0°
90°

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Theory of Machine
A shaft has an attached disc at the centre of its length. The disc has its centre of gravity located at a distance of 2 mm from the axis of the shaft. When the shaft is allowed to vibrate in its natural bow-shaped mode, it has a frequency of vibration of 10 rad/s. When the shaft is rotated at 300 r.p.m., it will whirl with a radius of

2.22 mm
2 mm
3.0 mm
2.50 mm

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Theory of Machine
The equation of motion for a vibrating system with viscous damping is (d²x/dt²) + (c/m).(dx/dt) + (s/m).x = 0, if the roots of the equation are __________ then the system will be under damped.

Real
Equal
None of these
Complex conjugate

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Theory of Machine
A spring controlled governor is said to be stable if the controlling force line when produced intersects the Y-axis

Below the origin
At the origin
Above the origin
Any one of these

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Theory of Machine
A shaft has two heavy rotors mounted on it. The transverse natural frequencies, considering each of the rotor separately, are 100 Hz and 200 Hz respectively. The lowest critical speed is

12,000 r.p.m.
5,367 r.p.m.
9,360 r.p.m.
6,000 r.p.m.

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Theory of Machine
If the pressure angle is __________, a reciprocating follower will jam in its bearings.

Too small
Small
Large
Too large

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