Theory of Machine
The natural frequency of free transverse vibrations due to a point load acting over a simply supported shaft is equal to (where δ = Static deflection of a simply supported shaft due to the point load)

0.6253/√δ
0.5615/√δ
0.571/√δ
0.4985/√δ

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Theory of Machine
Kinematic pairs are those which have

Point or line contact between the two elements when in motion
Surface contact between the two elements when in motion
Elements of pairs not held together mechanically
Two elements that permit relative motion

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