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
0.6253/√δ
0.5615/√δ
0.571/√δ

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Theory of Machine
When the belt is stationary, it is subjected to some tension known as initial tension. The value of this tension is equal to the

Sum of the tensions on the tight side and slack side of the belt
Tension in the tight side of the belt
Average tension of the tight side and slack side of the belt
Tension in the slack side of the belt

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