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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 92

An illustration from An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids, 1849, leaf 92
as before.v « The moments taken about g- give R/.Co--Rasin.0=O,orR(«—6see.0) — R.«sin.0=R/«cos.0—Rb—Rasin.0cos.0=O. Substituting the values of R and R above, and reducing, cos ■e={/l V a Ex. 7. A heavy beam lies partly in a smooth hemisphericalbowl and partly over the edge ; find the position of… … B perpendicular to thebeam, and by its weightw acting at g. Let Ag=a, AO=r=radius of the bowl, and0=ABO=BAO=incli-nation of the beam tothe horizon. If the object be todetermine the angle 0solely, it will be mostreadily effected by resolving the forces in the direction of thebeam and taking the…

Mechanics, Analytic

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