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Theory of Machine

Theory of Machine
When the crank is at the inner dead centre, in a reciprocating steam engine, then the velocity of the piston will be

Maximum
Minimum
Zero
None of these

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Theory of Machine
For an involute gear, the ratio of base circle radius and pitch circle radius is equal to

sinφ
secφ
cosφ
cosecφ

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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. √(q/I)
2π qI
1/2π

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Theory of Machine
In a Hartnell governor, the lift of the sleeve is given by (where r₁ and r₂ = Max. and min. radii of rotation, x = Length of ball arm of the lever, and y = Length of sleeve arm of the lever)

(r₁ + r₂) (x/y)
(r₁ - r₂) (x/y)
(r₁ + r₂) (y/x)
(r₁ - r₂) (y/x)

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Theory of Machine
A point on a link connecting double slider crank chain traces a

Hyperbola
Ellipse
Circle
Parabola

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Theory of Machine
The gear train usually employed in clocks is a

Reverted gear train
Differential gear
Simple gear train
Sun and planet gear

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