Suma y resta de vectores

Page 18

Cálculo de los componentes de cada vector F3

F3x

y

F2 F3y F1x

F1

55° 25° F1y x F4y 50° F4

F4x

F1 :

F1x = F1 (cos 25°) = (0.9063) (6 N) = 5.437 N F1y = F1 (sen 25°) = (0.4226) (6 N ) = 2.535 N

F2 :

F2x = no tiene componente en x = 0 F2y = F2 (sen 90°) = (1) (3 N) = 3 N

F3 :

F3x = F3 (cos 55°) = (-0.5735) (7 N) = -4.014 N F3y = F3 (sen 55°) = (0.8191) (7 N) = 5.733 N

F4 :

F4x = F4 (cos 50°) = (-0.6427) (5 N) = -3.213 N F4y = F4 (sen 50°) = (-0.7660) (5 N) = -3.83 N

∑ Fx = F1x + F2x + F3x + F4x ∑ Fx = 5.437 N + (- 4.014 N) + (-3.213 N) ∑ Fx = - 1.79 N ∑ Fy = F1y + F2y + F3y + F4y ∑ Fy = 2.535 N + 3 N +5.733 N + (-3.83 N) ∑ Fy = 7.438 N


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