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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).
Analysis of an uncompensated braking system with mathematical formulas and test results.

Identifier  ExFiles\Box 32\2\  Scan083
Date  25th September 1933
  
-3- Hs{Lord Ernest Hives - Chair}/Grv.7/KT.25.9.33.

For the uncompensated system shown, the amounts of braking can be shown to be
front mαρ/(m²+αλ) and rear nβρ/(n²+βμ)

and the sponge at the points F.{Mr Friese} and R.{Sir Henry Royce} to be
(m²+αλ)/α and (n²+βμ)/β respectively
measured in in/lb.

Suppose we measure the ratio of these quantities to be k.{Mr Kilner} Then making the assumption that α = β we get
μ = (m² - kn{D. G. McKechnie - Sales} + αλ)/kα

and the quantities of front and rear braking proportional to m and kn{D. G. McKechnie - Sales}

On 19.C.IV. we measured the sponge at F.{Mr Friese} and R.{Sir Henry Royce} and obtained the following table of results.

LOAD APPLIED. | DEFLECTION AT F.{Mr Friese} | R.{Sir Henry Royce}
50 lbs. | - | 0
100 | 0 | .070
150 | .110 | .105
300 | .090 | .055
50 | .040 | .043
APPROX. EFFY. | 90% | 90%

We are not in favour of our brakes being uncompensated front to rear. Unless the relative areas front and rear are in the same proportion as the amounts of braking, wear in the linings will continually be altering the ratio owing to sponge in the linkage, tending always to the ratio of the areas. Our
  
  


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