Theory of Machine
The tractive force in a locomotive with two cylinders is given by (where c = Fraction of reciprocating parts per cylinder, m = Mass of reciprocating parts, ω = Angular speed of crank, r = Radius of crank, and θ = Angle of inclination of crank to the line of stroke)

m.ω².r cosθ
m.ω².r (cosθ - sinθ)
(1 - c).m.ω².r (cosθ - sinθ)
m.ω².r sinθ

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Theory of Machine
A rotor which is balanced statically but not dynamically is supported on two bearings L apart and at high speed of the rotor, reaction on the left bearing is R. The right side of the bearing is shifted to a new position 2L apart from the left bearing. At the same rotor speed, dynamic reaction on the left bearing in the new arrangement will

Become equal to R/2
Remain same as before
Become equal to 2R
Become equal to R/4

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Theory of Machine
For dynamic balancing of a shaft

The net dynamic force acting on the shaft is equal to zero
None of these
The net couple due to the dynamic forces acting on the shaft is equal to zero
Both (A) and (B)

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