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Theory of Machine

Theory of Machine
Shaft revolving in a bearing is the following type of pair

Higher pair
Lower pair
Spherical pair
Cylindrical pair

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Theory of Machine
Whirling speed of the shaft is the speed at which

Shaft tends to vibrate in longitudinal direction
Shaft tends to vibrate vigorously in transverse direction
Torsional vibrations occur
Combination of transverse and longitudinal vibration occurs

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Theory of Machine
The example of successfully constrained motion is a

Motion of an I.C. engine valve
All of these
Piston reciprocating inside an engine cylinder
Motion of the shaft between a footstep bearing

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Theory of Machine
The unbalanced force due to reciprocating masses

Varies in magnitude and direction both
Constant in magnitude and direction both
Varies in direction but constant in magnitude
Varies in magnitude but constant in direction

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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

Minimum
None of these
Maximum
Zero

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Theory of Machine
The natural frequency of free transverse vibrations due to uniformly distributed load acting over a simply supported shaft is (where δS = Static deflection of simply supported shaft due to uniformly distributed load)

0.6253/ √δS
0.4985/ √δS
0.571/ √δS
0.5615/ √δS

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