A Treatise On the Theory of Friction

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3. By the slipping of all three points A,B,C.
We shall proceed to consider the conditions to be fulfilled in each of these cases : — (1.) If the point A alone be in an extreme position, it is plain that we must have dB^ ' It is plain from p. 76 that this is equivalent to supposing either that the acting force is directed along the line AB, and that this line is itself situated in the cone of resistance at the point A, or that the plane passing through AB and the direction of the acting force is
... a tangent to the cone of resistance at A . The line AB and the direction of the given acting force must, there- fore, lie outside the cone of resistance.
Hence, if the acting force and the line AB be not coincident with the same side of the cone, the magnitude of the force R { may be determined as follows : — Through AB draw a plane touching the cone of resistance ; this plane must contain the direction of the acting force, and the line of contact will be the direction of the resultant V l of R t and Fi.


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