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)

0.4985/√δ
Any one of the listed here
1/2π × √(g/δ)
1/2π × √(s/m)

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Theory of Machine
The frictional torque transmitted in a truncated conical pivot bearing, considering uniform wear, is

(1/2). μ W cosec α [(r₁³ - r₂³)/(r₁² - r₂²)]
(2/3).μ W cosec α (r₁ + r₂)
(2/3). μ W cosec α [(r₁³ - r₂³)/(r₁² - r₂²)]
(1/2). μ W cosec α (r₁ + r₂)

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