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 152
e beam without causing it to slide off.„2^ Let g be the center of gravity of thebeam BC, whose length is 2d, and B^-=d since the beam is uniform, w= itsweight, and W the weight suspendedfrom B. Before the weight W wassuspended from the beam the point gmust have been at A. Let A be thepoint of… … 1-iR — w. sin. a — W sin. o,=0,R — w cos. fl-Wcos. a=0 ; (a) whenc: tan. a. Taking the moments about A, we have =0, W.BA cos. a—w.Ag. cos. cl-oy W.(Bg—Ag) — w.Ag=0. But Ag= arc AA= radius X angle AOA=r.«. .-. W.(d—ra)—w.ra=0, or W: w.ra w.rtan. -, the weight required. d—ra d— rtan. ~\i Ex. 2. A…
Mechanics, Analytic
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