Find the resultant of the following concurrent forces graphically and analytically: F1 = 100N 37° counterclockwise from the +x-axis F2 = 100N 50° clockwise from the -x-axis F3 = 80 N 233° counterclockwise from the +x-axis
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- Find the resultant and direction of the following forces using the graphical method: F1 = 20 N, 30 degrees NE, F2 = 15 N, 50 degrees NW, F3 = 10 N, SouthDetermine 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: 89ºQ2 Use the analytical method to find the resultant and its direction of the forces shown in figure 1. 20 N 45 45 15 N 10 N Figure !
- The bucket of the excavator at a construction site is subjected to F = 1530 lb and F, = 790 lb digging forces at its tip. Determine the magnitude and direction of their resultant. Use the vector algebra and vector polygon methods. Compare the answers with the two methods to verify the accuracy of your work. (Express your answers using four and three significant figures, respectively. Report the direction as an angle between 0 and 180°, clockwise or counterclockwise.) R = lb v from i SelectUse the law of sines and the law of cosines, in conjunction with sketches of the force polygons, to solve the following problems. Determine the magnitude of the resultant R and the angle e between the x-axis and the line of action of the resultant for the following: 300 lb 20° 350 lb 20° 30° 250 lb 30° 600 Ib$ Magnitude R= Direction 8 = Three forces act on point : A = 60 N at 135°, B = and C in this diagram to the correct magnitudes and directions. When this has been done correctly the dotted vector will become solid. 50 N at -45° and, C= 75 N at 60° 2. Pick up vectors A, B and C by their tails, and move them into a tip to tail arrangement. When this has been correctly done the resultant R will appear. measured Estimate the magnitude and direction of the resultant Based on this diagram, estimate the magnitude R and direction of the resultant. from the force R using the tip-to-tail method. 1. Move the tips of forces A, B, Submit part Submit part
- A vector polygon for summing F1 = 11 kN and F2 = 5 kN forces is shown. End R Start 55% a. Determine the magnitude R of the resultant by using the law of cosines. (Express your answer using three significant figures.) R = kN b. Determine its angle of action 0 by using the law of sines. (Express your answer using four significant figures.)Determine the magnitude of the vector difference V' = V2 -V1 and the angle 0x which V' makes counterclockwise from the positive x- axis. The angle 0x will be a positive number between O and 360°. Complete both graphical and algebraic solutions. You will have to draw an accurate figure for the graphical solution. y V2 = 27 units %3D V = 37 units 4 34 --x Answers: Ox = units V' =Determine the magnitude of the vector sum V-V₁ + V₂ and the angle 0x which V makes with the positive x-axis. Complete both graphical and algebraic solutions. Assume a = 2, b = 4, V₁ = 15 units, V₂ = 19 units, and 0 = 66°. V/₂ V Determine the magnitude of the vector difference V = V₂-V₁ and the angle 8x which V' makes with the positive x-axis. Complete both (a) graphical and (b) algebraic solutions. Assume a = 3,b= 7, V₁ = 12 units, V₂ = 16 units, and 0 = 59° V
- 3-50 with the following modifications: Change the z-coordinate of point A from +6 ft to +8 ftUse the law of sines and the law of cosines, in conjunction with sketches of the force polygons, to solve the following problems. Determine the magnitude of the resultant R and the angle e between the x-axis and the line of action of the resultant for the following: 600 N 30° 500 N 60° 30° 350 NGiven the Position vector R= 2i -j+ 3k (m) and the Force vector F = i+j+k (kN) Determine the angle in degrees between the two vectors. Answer: