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Theory of Machine

Theory of Machine
Relationship between the number of links (L) and number of pairs (P) is

P = 2L + 2
P = 2L + 4
P = 2L - 2
P = 2L - 4

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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

2.50 mm
3.0 mm
2 mm
2.22 mm

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Theory of Machine
The efficiency of a screw jack is maximum, when (where α = Helix angle, and φ = Angle of friction)

α = 45° + φ/2
α = 45° - φ/2
α = 90° - φ
α = 90° + φ

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Theory of Machine
A watt's governor can work satisfactorily at speeds from

100 to 200 r.p.m.
60 to 80 r.p.m.
200 to 300 r.p.m.
80 to 100 r.p.m.

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Theory of Machine
In multi V-belt transmission, if one of the belt is broken, we have to change the

Broken belt
There is no need of changing any one as remaining belts can take care of transmission of load
All the belts
Broken belt and its adjacent belts

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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 this equation are real, then the system will be

Critically damped
Under damped
Without vibrations
Over-damped

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