Example 1 Forces F1 and F2 act on the bracket as shown. Determine the projection Fb of their resultant R onto the b-axis F₁-100 N 30° F₂=80 N
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- 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' =$ 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 partFind the resultant and direction of the following forces using the graphical method: F1 = 20 N, 30 degrees NE, F2 = 15 N, 50 degrees NW, 10 N, south
- 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 SelectH.W. Determine the resultant and angle for the figure below: F1-400N 30 60 F3=200N F2=300NDetermine 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
- i need help solving for F ite the force F in Cartesian vector form and determine the direction cosines. Use point C as (1.5, -1, 3)ft. S: lb, 115°, 73°, 149° F-80 lb 311 6 ft1. Find the components of . 2. A Find the components of T2- (Reminder: cos(a) =) 3. Find the angle between and 2. 4. Find the magnitude of the projection of r2 along/parallel to T = 6m 30° 40° Z 8 60° r₁= r₂ = √2 120° 45⁰ a 0 = Y= 2 = 9 m optional2-28 Find the resultant of the force system shown in Figure P2-28. 50 N 40 N 52 N 12 15 8 34 N Figure P2-28 3
- (b) v = 8.9i+ 4.8j. d. The point A has coordinates (4,1), AB= 9 5 BC= . Find the coordinates of B and the column vector representing CA. 1Q1/ Find the magnitude of the resultant (R) of the V2 = 21 units! two vectors V1 and V2, using triangle law method only. V = 27 units 3 302. Determine the following: a) Magnitude of the projected component of along the line of action of F2 b) Angle 0 between the two cables attached to the pipe. F, = MN Ib 120 60° F, = SN Ib 1.5 m 3. The guy wires are used to support the telephone pole. Represent the force in each wire in Cartesian vector form. Neglect the diameter of the pole F= MNN F: = FN N 4 m 2 m D. 4 m 3 m y