In: Civil Engineering
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 FR, = F1 + F2 + F3 in kips [reported in Cartesian vector form].
FR = _____ 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.)
uF1 =
uF2 =
uF3 =
uR =