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From the Rolls-Royce experimental archive: a quarter of a million communications from Rolls-Royce, 1906 to 1960's. Documents from the Sir Henry Royce Memorial Foundation (SHRMF).
Calculation to estimate the axle movement required to cause the second stage of a shock absorber to function.

Identifier  ExFiles\Box 79\2\  scan0045
Date  11th May 1923 guessed
  
To Estimate the Movement of Axle required to cause the second stage of the Shock Absorber to function

XU329

Ordinary Setting Shock Absorber ball centre (a) is 1.25" above horizontal
∴ ∠ θ = Sin⁻¹ 1.25" / 11 = .11363 = 6°31'

Now from the nature of the shock absorber plates it will be observed that the second plate will come in 10° after the first one (in point of fact it all depends where it was left by the last bump).

∴ ht. through which the ball joint has to be raised for plate to come in = (11 x Sin 16°31') - 1.25'
= (11 x .2843) - 1.25'
= 3.1273 - 1.25
= 1.877 Ins.

The corresponding height through which the spring centre will move is 1.877 x 28/24 = 2.19"

∴ The pt. on the axle centre in line with the ball joint will move 2.19"
  
  


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