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

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

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Theory of Machine
Inertia force acts

Along the direction of acceleration force
None of the listed here
Perpendicular to the acceleration force
Opposite to the direction of acceleration force

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

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