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Theory of Machine

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

Stiffness
Mass
Mass and stiffness
Stiffness and eccentricity

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Theory of Machine
Elements of pairs held together mechanically is known as

Rolling pair
Mechanical pair
Closed pair
Open pair

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Theory of Machine
The example of spherical pair is

Bolt and nut
Lead screw of a lathe
Ball and socket joint
Ball bearing and roller bearing

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Theory of Machine
In an open pair, the two elements of a pair

Are kept in contact by the action of external forces, when in motion
Have a line or point contact when in motion
Have a surface contact when in motion
Are not held together mechanically

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

secφ
cosφ
sinφ
cosecφ

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Theory of Machine
The frictional torque transmitted in a conical pivot bearing, considering uniform pressure, is (where R = Radius of shaft, and α = Semi-angle of the cone)

μ W R cosecα
(2/3) μ W R cosecα
(1/2) μ W R cosecα
(3/4) μ W R cosecα

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