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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 39

An illustration from An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids, 1849, leaf 39
t P,. The direc-tions of P and P, willmeet in some point D, atwhich we may supposethem to act. Replacing P by P and P, and P, by P1 andPj, we now have, acting at D, the four forces P, P, P,,and P l, of which P and P, are equal and opposite, while Pand Pj act in the direction DC, and have a… … E=P+pL 16 STATICS. P : F=DC : CA, and similarly from triangle BCD, P, rP^BCiDC.Compounding these ratios, we have, since P/=P/1, P : P^BC : CA, or P.AC^.BC.2°. When the forces act in opposite directions.Let P and P2 (Pj>P) be two parallel forces, acting at A and B in opposite directions, P…

Mechanics, Analytic

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