Three forces act at point O. Force F1 has magnitude F1 = 17.4 kips. The direction...

Three forces act at point O. Force F₁ has magnitude F₁ = 17.4 kips. The direction angles for F₁ are (α₁, β₁, γ₁) = (76.6°, 108°, 22.6°). Force F₂ = (−27.0i + 10.0j + 27.0k) kips. Force F₃ = (4.00i + 6.00j − 34.0k) kips.

(a)Determine the resultant force F_R, = F₁ + F₂ + F₃ in kips [reported in Cartesian vector form].

F_R = _____ kips

(b) Determine the magnitude of the resultant force in kips.

________kips

(c) Determine the direction angles of the resultant force in degrees.

α = _______ °

β = _______ °

γ = _______ °

(d) Determine unit vectors in the directions of each component force as well as in the direction of the resultant force. (Express your answers in vector form.)

u_F₁ =

u_F₂ =

u_F₃ =

u_R =

Expert Solution

Ally Wells answered 2 years ago

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