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Theory of Machine

Theory of Machine
The secondary unbalanced force is maximum __________ in one revolution of the crank.

Sixteen times
Four times
Eight times
Two times

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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). √(q/I)
2π qI
2π. √(q/I)
1/2π

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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)

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

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Theory of Machine
The instantaneous centers which vary with the configuration of mechanism are called

Neither fixed nor permanent instantaneous centers
Fixed instantaneous centers
None of these
Permanent instantaneous centers

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Theory of Machine
In a screw jack, the effort required to lift the load W is given by (where α = Helix angle, and φ = Angle of friction)

P = W tan(φ - α)
P = W tan(α - φ)
P = W tan(α + φ)
P = W cos(α + φ)

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