An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids (1849)
Smith, Augustus William, 1802-1866 · New York, Harper · leaf 248
y be determined. 367. Schol. A familiarity with the geometrical representa-tives of the terms and factors in the foregoing formulae willconduce to facility in their application. In the annexed figure let the%^ center of force be at S, the origin of co-ordinates, SP=r the radiusvector of the… … CENTRAL FORCES. 225 small time dt, and mY=dr the increment or decrement of theradius vector in the same time. Let the arc Ym be describedwith S as a center, and radius SP, and the arc nn with theradius Sw=l. Then, 1°. Since Sn : &Y=nn : Ym or 1 : r=du : Ym, Ym=rd(o.2°. The area of the sector…
Mechanics, Analytic
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