Consider Figure 1. Determine the magnitude and direction of the resultant FR=F1+F2+F3 of the three forces by first finding the resultant F'=Fi1+F2 and then finding FR=F'+F3. Specify the direction of FR measured clockwise from the positive x-axis. F2= 75 N F1 = 80 N F3 = 50 N 30°-- 30 45°
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- Find the internal force systems acting on sections 1 and 2.Consider Figure 1. Determine the magnitude and direction of the resultant FR=F1+F2+F3 of thethree forces by first finding the resultant Fꞌ=F1+F2 and then finding FR=Fꞌ+F3. Specify thedirection of FR measured clockwise from the positive x-axis.Determine the magnitude and direction of the resultant for system of forces shown in the figure. Take F1 = 106.8 N, F2 = 83.3 N, F3 = 29.8 N, F4 = 75.8 N, F5 = 32.5 N, α = 29.4°, β = 47.5°, and γ = 50.8°. a) Sum of all horizontal force components, ΣH (N) = b) Sum of all Vertical force components, ΣV (N) = c) The resultant force, R (N) = d) The direction of the resultant force, θ (Degree) =
- Find the magnitude and direction of the resultant force for the system of forces shown in the figure. Where F1 =15 N, F2 =35N, F3 =20 N, F4 =35N, F5 = 30N & F6 =10N. The angles ϴ2 =15ᵒ, ϴ3 =35ᵒ , ϴ4 = 20ᵒ, ϴ6 = 20 ᵒ ) The horizontal component of the given system (unit is in N) = __________ Answer for part 1 (2) The horizontal component of the given system (unit is in N) = __________ Answer for part 2 (3) The resultant of the given force system is (unit in N) = Answer for part 3 (4) The direction of Resultant is =Determine the magnitude and direction of the resultant for system of forces shown in the figure. Take F1 = 99.6 N, F2 = 43.7 N, F3 = 84.2 N, F4 = 66.0 N, F5 = 88.6 N, α = 29.8°, β = 50.2°, and γ = 55.1°. Sum of all horizontal force components, ΣH (N) = Sum of all Vertical force components, ΣV (N) = The resultant force, R (N) = The direction of the resultant force, θ (Degree) =Determine the magnitude and direction of the resultant of the following forces: 50 N at 50 degrees,60 N at 120 degrees,40 N at 220 degrees,30 N at 330 degrees. All angles are measure from the positive x-axis. Use the component method. Select one: a. 75 N: 42º b. 50 N: 87º c. 54 N: 87º d. 101 N: 89º
- Find the magnitude and direction of the resultant force for the system of forces shown in the figure. Where F1 =15 N, F2 =30N, F3 =25 N, F4 =15N, F5 = 50N & F6 =70N. The angles ϴ1 =20ᵒ, ϴ3 =25ᵒ , ϴ4 = 50ᵒ, ϴ6 = 30 ᵒ (Enter only the values in the boxes by referring the units given in bracket) (1) The resultant of the given force system is (unit in N) = (2) The direction of Resultant is (in) =Find the magnitude of the resultant force, R, of the following forces using Law of Sine/Cosine. F1=81N 26ᴼ S of W and F2=62N 67ᴼ E of N.Find the magnitude and direction of the resultant for system of forces shown in the figure. Take F1= 70N, F2 = 55N, F3 =45 N , F4 = 20 N, ϴ1 = 45° and ϴ2 = 40 The summation of Horizontal Component ∑H = The summation of Vertical Component ∑V = The Magnitude of the Resultant in N is R= The direction of resultant in degrees is α =
- Find the magnitude and direction of the resultant force for the system of forces shown in the figure. Where F1 =10 N, F2 =30N, F3=20 N, F4 =30N, F5 = 70N & F6 =70N. The angles ϴ2 =15ᵒ, ϴ3 =25ᵒ , ϴ4 = 30ᵒ, ϴ6 = 25 ᵒ find (1) The horizontal component of the given system (unit is in N) = __________ (2) The horizontal component of the given system (unit is in N) = __________ (3) The resultant of the given force system is (unit in N) = (4) The direction of Resultant is =Find the magnitude and direction of the resultant force for the system of forces shown in the figure. Where F1 =10 N, F2 =15N, F3 =10 N, F4 =55N, F5 = 70N & F6 =70N. The angles ϴ2 =20ᵒ, ϴ3 =35ᵒ , ϴ4 = 40ᵒ, ϴ6 = 45 ᵒ (1) The horizontal component of the given system (unit is in N) = (2) The Vertical component of the given system (unit is in N) = (3) The resultant of the given force system is (unit in N) = (4) The direction of Resultant is (degrees) =Three chains act on the bracket in such a way as to generate a resultant force of 2224 N. If two of the chains are subjected to known forces (P1 and P2) as shown in the figure, determine the orientation Ѳ of the third chain, measured clockwise, from the positive x axis, so that the magnitude of the force, F, on this chain is minimal. All forces lie in the x - y plane. What is the magnitude of F? TIP: First find the resultant of the two known forces, the force F acts in this direction. Note: P1 = 400 lb and P2 = 300 lb