The elements of mechanics, comprehending statics and dynamics (1848)
Young, J. R. (John Radford), 1799-1885, Williams, John D., ed · Philadelphia, E.H. Butler & Co · leaf 102
Gsm. LOI = (sin. LOG • cot. LOI-fcos. LOG) W. Problevi IX.—(67.) To determine the position in which a para-boloid ABC will rest upon a horizontal plane (fig. 58). Suppose P to be the point on which it rests, then the pressure be-ing in the vertical direction PG, is in the normal to the surface at… … EQUILIBRIUM OF A SOLID BODY. 91 p ; but, calling the altitude AX of the paraboloid a, the distance AG 2 2 is (ex, 3, p. 71) AG=|a, .-. x-\-p = — a .-. x= — a —p ; o o this therefore is the abscissa of the point on which the body rests, hence, the tangent of the inclination XRP of the axis to the…
Mechanics, Analytic
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