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THEORY OF MACHINE

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 minimum length of the coupler will be

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

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Theory of Machine
The natural frequency of free torsional vibrations of a shaft is equal to (where q = Torsional stiffness of the shaft, and I = Mass moment of inertia of the disc attached at the end of a shaft)

1/2π
2π qI
2π. √(q/I)
(1/2π). √(q/I)

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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)

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

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Theory of Machine
When the primary direct crank of a reciprocating engine makes an angle of 'θ' with the line of stroke, then the secondary direct crank will make an angle of _________ with the line of stroke.

θ
2θ
4θ
θ/2

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Theory of Machine
The lower pair is a

Open pair
Sliding pair
Closed pair
Point contact pair

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