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Theory of Machine

Theory of Machine
In full depth involute system, the smallest number of teeth in a pinion which meshes with rack without interference is

16
12
25
32

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

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

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Theory of Machine
The natural frequency of free longitudinal vibrations is equal to (where m = Mass of the body, s = Stiffness of the body, and δ = Static deflection of the body)

1/2π × √(g/δ)
1/2π × √(s/m)
Any one of the listed here
0.4985/√δ

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Theory of Machine
The critical speed of a shaft depends upon its

Mass
Stiffness
Mass and stiffness
Stiffness and eccentricity

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

ω² r {n/(n - 1)}
ω² r {(n - 1)/n}
ω² r {n/(n + 1)}
ω² r {(n + 1)/n}

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Theory of Machine
To connect two parallel and coplanar shafts the following type of gearing is used

Spur gear
Spiral gear
Bevel gear
None of the listed here

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