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Theory of Machine

Theory of Machine
The size of cam depends upon

Pitch circle
Base circle
Prime circle
Pitch curve

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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 mm
3.0 mm
2.22 mm
2.50 mm

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Theory of Machine
Maximum fluctuation of energy in a flywheel is equal to [where I = Mass moment of inertia of the flywheel, E = Maximum fluctuation of energy, CS = Coefficient of fluctuation of speed, and ω = Mean angular speed = (ω₁ + ω₂)/2]

I.ω².CS
I.ω.(ω₁ - ω₂)
2.E.CS
All of these

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Theory of Machine
The rotating shafts tend to vibrate violently at whirling speeds because

Bearing centre line coincides with the axis
Resonance is caused due to the heavy mass of the rotor
The shafts are rotating at very high speeds
The system is unbalanced

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

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Theory of Machine
The power transmitted by a belt is maximum when the maximum tension in the belt is _________ of centrifugal tension.

Three times
One-third
Double
Two-third

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