Graphics

Cover Graphics
Graphics
Henry Wilson Spangler
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Wf .
which is — ^. Evidently, to turn the shaft against the friction TT R^ force, a turning moment must be put on the shaft, and the amount of this moment must be sufficient to overcome or balance the resisting moment due to the friction.
Take any narrow strip on the base of the shaft, and call the radius of the strip r. The length of the strip, then, is 2irr, and, calling the width of the strip dr, the area is 2irrdr. Now, on this ... Wf strip IS exerted a friction force represented by — — per
... square TT R Digitized by Google so GRAPHICS.
inch, and the total friction force exerted on this ring is then Wf Wf 2wrdr — —, and the moment of the friction force is awr^dr — -, IT R' TT R^ The total amotmt of the friction moment is the summation of this quantity between the radii R and zero, or the friction moment is /fi Wf 2WfR 27rr^dr — - = — ; or,if it is assumed that the frictionforce o ttR' 3 is produced by two equal loads, each one half of the total load, Wf 4 the friction moment is produced by — - , acting at — of the radius.


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