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
3.0 mm
2 mm
2.50 mm

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Theory of Machine
Angle of dwell of cam is defined as the angle

During which the follower returns to its initial position
Through which the cam rotates during the period in which the follower remains in the highest position
Of rotation of the cam for definite displacement of the follower
Moved by the cam from the instant the follower begins to rise, till it reaches its highest position

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Theory of Machine
The secondary unbalanced force due to inertia of reciprocating parts in a reciprocating engine is given by (where m = Mass of reciprocating parts, ω = Angular speed of crank, r = Radius of crank, θ = Angle of inclination of crank with the line of stroke, and n = Ratio of the length of connecting rod to radius of crank)

m.ω².r cosθ
m.ω².r sinθ
m.ω².r (cos 2θ/n)
m.ω².r (sin 2θ/n)

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