Notes and examples in mechanics; with an appendix on the graphical statics of mechanism; (1897)
Church, Irving P. (Irving Porter), 1851-1931 · New York, J. Wiley & Sons · leaf 19
ahove function of a?, and substitute in it first, iovx^ thevalue, x^, which x assumes at the upper end of the series; andsecondly, substitute the value a?„ of x at the lower end of theseries. The difference of the expressions so obtained is the desiredresult. (Note.—By anti-derivative we are to… … 10 NOTES AND EXAMPLES IN MECHANICS. omit the constant, knowing that it would cancel out in the sub-traction indicated.) 13. Example of the Foregoing.—We wish to find bj calculusthe total moment of the homogeneous paraboloid of revolution injK Fig. 5 about the axis Y\ the axis of thesolid being…