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 96
m rests with its lower end in asmooth, hemispherical bowl, and its upper end against asmooth, vertical plane. Find the position of equilibrium. The beam AB rests against thevertical plane AD at A and uponthe bowl at B, and is sustained byits weight w acting at g, the reac-tion R of the bowl in the… … R sin. 6—w=0, or R= w sin. 6 or Taking the moments about A, we have R.AB. sin. (d—(p)—w.kg. cos. 0=0,R.2<2. sin. (d—(p) — w.a. cos. <p=0.sin. (0—(f>) cos. <p sin.0 2 ° or cos. 0— cot. 6. sin. §—\ cos. 0=0. Hence tan. 6=2 tan. 0. This equation containing two unknown quantities, a…
Mechanics, Analytic
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