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)

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

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Theory of Machine
In gears, interference takes place when

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
Gears do not move smoothly in the absence of lubrication

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