An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids (1868)
Smith, Augustus W. (Augustus William), 1802-1866 · New York : Harper · leaf 117
t2, t3, &c, bethe tensions of the sev-eral successive portionsof the cord. Then {Art. 147) t1 : P2 : t2= sin. a: sin. {a+a) : sin. a; {a)also, t2 : P~3 : t3= sin. (3: sin. (j3+j3) : sin. (3, (a) &c, &c. „ , . , . ~ sin. d . _ sin. a From {a) we obtain <.=P0 -—-.—;—x, and… … 94 STATICS. P,.-. sin. /3 -=P sin. y **sin; (y+y) (b>) sin. ((3+(3)&c,for the relations of the forces. 152. Cor. 1. If the cord be fixed at the points A and E, andthe forces P2, P3, P4, &c, be parallel, we havesin. a= sin. (3, sin ,(3= sin. y, &c.Multiplying these equations by (b),…
Mechanics, Analytic
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