Theory of Machine
In a four-bar chain it is required to give an oscillatory motion to the follower for a continuous rotation of the crank. For the lengths of 50 mm of crank and 70 mm of the follower, determine theoretical maximum length of coupler. The distance between fixed pivots of crank and followers is

Slightly less than 95 mm
Slightly more than 95 mm
95 mm
45 mm

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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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Theory of Machine
In a mechanism, the fixed instantaneous centers are those centers which

None of the listed here
Moves as the mechanism moves, but joints are of permanent nature
Remain in the same place for all configurations of the mechanism
Vary with the configuration of the mechanism

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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
Both (A) and (B)
The net couple due to the dynamic forces acting on the shaft is equal to zero

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