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

3.0 mm
2.22 mm
2.50 mm
2 mm

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Theory of Machine
The primary 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 (cos 2θ/n)
m.ω².r sinθ
m.ω².r (sin 2θ/n)
m.ω².r cosθ

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Theory of Machine
The inversion of a mechanism is

Obtained by fixing different links in a kinematic chain
Turning its upside down
Changing of a higher pair to a lower pair
Obtained by reversing the input and output motion

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