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 × √(s/m)
0.4985/√δ
Any one of the listed here
1/2π × √(g/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
Elements of pairs not held together mechanically
Two elements that permit relative motion
Surface contact between the two elements when in motion

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Theory of Machine
In gears, interference takes place when

Gears do not move smoothly in the absence of lubrication
The tip of a tooth of a mating gear digs into the portion between base and root circles
Gear teeth are undercut
Pitch of the gears is not same

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