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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).
Page from a technical paper on the linear balancing of a connecting rod.

Identifier  WestWitteringFiles\M\2October1924-December1924\  Scan10
Date  1st October 1924
  
EFC1/T6.10.24. -8- Contd.

is generally (the exception in certain circumstances being
indicated later) in the opposite direction to the couple,
due to the acceleration of the con. rod itself about its
centre of mass. This is because the linear balancing
forces considered to be acting on the con. rod at the points
X and P are equivalent not merely to some linear force
acting through G, but also plus a couple about G, and this
couple is actually larger than the effective couple acting
on the con. rod to produce its angular acceleration about
its centre of mass. In other words the linear balancing
more than supplies the couple required by the con. rod.
Supposing the linear balance is only effective up
to the point of balancing M_x and M_p (instead of the usual
M_x and M_p), then it should be clear that there would be no
resulting out-of-balance couple due to the con. rod, but a
simple out-of-balance linear force (proportional to M_g)
whose line of action passes through G.{Mr Griffiths - Chief Accountant / Mr Gnapp} Whence it may be
clear that the magnitude of the couple existing with
complete linear balance must be that of a moment of inertia
represented by a mass b/(a+b) M_g displaced through a
distance a, together with a mass a/(a+b) M_g displaced


Contd.
  
  


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