X 55⁰ F₁ = 100 lb 65⁰ 120° 35⁰ -y F3 = 400 lb 55⁰ F₁ = 600 lb
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- You have the following vectors: A -- =-7.9i+9.7j B=7.1i+-1.23 Calculate the magnitude of A A - 2B. Your Answer: AnswerThe force F has a magnitude of 600 Ib and acts along the line AM where M is the midpoint of the vertical side OB of the parallelepiped. Express Fas its magnitude times the appropriate unit vector and then determine its x-, y-, and z-scalar components. |18" M F = 600 lb !! A 12" 15" Answers: Vector F= (600 Ib)( i i+ i j+ i k) Scalar components Fx i Ib Fy = i Ib E. = IbF = (-30i + 60j + 60k )kN %3D Forces are concurrent at point O. Determine the magnitude of the resultant of the three vectors. a 71.5 kN b 187 kN F, = (60i – 20j+ 15k )kN c 116 kN d 83.7 kN Determine the angle between F, andF,. F, = (20j – 25k)kN X а 111° b 132° c 69.0° d 21.0° Select the expression that denotes a unit vector in the direction and sense of F,. a 0.625j -0.781k b 0.625i -0.781j c -0.625 j –0.781k d 0.625i +0.781j