A force F is applied at the top of the tower at A. If it acts in the direction shown such that one of its components lying in the shaded y-z plane has a magnitude of 80 lb, determine its magnitude F A y 60° 60° 90 Ib F
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- y 1 40 4N 65° 6N (d) What is the magnitude of the total force | A+B|? (e) What is the angle between the total force and the +x axis?Three pairs of flexible cables, spaced at 120° inter- vals, are used to stabilize a 1000-ft television tower. The tower and one pair of cables is shown in Fig. weight of the cables is 3.0 lb/ft. The horizontal component of the force exerted by each cable is 6000 lb. At anchor A, the angle between cable AC and the horizontal must be 40°. Determine The The horizontal distance d from the tower to anchor A. 400 ft B 400 ft KKKKKKKKKKIfor the force in the figure determine the rectangular components along u and v axes of α = 20°
- The force vector F has a magnitude of F = 385 lb and acts at point A at an angle 0 = 7.7° with respect to vertical as shown. The force F is balanced by the tension forces parallel to the two rods AC O is satisfied. Determine the tension forces and AB such that the vector equation F + F AC + F AB = in the two rods in Cartesian components. a B, A Cc O O BY NC SA 2013 Michael Swanbom NF Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 5.2 ft b 2.3 ft 3.8 ft For the component notation, use an 'xy' coordinate system with 'y' poining up and 'x' pointing to the right. F AC = j) lb + F AB = j) lbA force vector with magnitude R and making an angle α with the x-axis is having its component along x-axis and y-axis as:a) Rcosine (α) and Rsine(α)b) Rcosine (180-α) and Rsine(α)c) Rcosine (180-α) and Rsine(180+αTwo forces, F1 and F2, act at a point, as shown in the picture. (Figure 1) F1 has a magnitude of 9.60 N and is directed at an angle of a = 58.0 ° above the negative x axis in the second quadrant. F2 has a magnitude of 7.00 N and is directed at an angle of B = 53.7 ° below the negative x axis in the third quadrant. Figure 1 of 1 B F
- P= SN kN I. For the force in the figure, determine the rectangular components along u and v axes if a = 20° y 60- a a P. 2. For the force Pin the figure, determine the components P, and Pa, if the former is directed 80° from the horizontal axis( a-axis) and the latter 20° to the same reference axis. Force P = FN kN is acting at a given angle of 60* from the x axis. P2 а- ахis P = FN kN P= MN kN 3. For the force system shown in the figure determine the horizontal and vertical components of each force. 3 P= SN kN %3D Page 1 of 2Create xand y vectors to represent the following data: 10 23 20 45 30 60 40 82 50 111 60 140 70 167 80 198 90 200 100 220 1. Plot the data on an x-y plot. 2. Usc lincar interpolation to approximate the value of y when x 15. 3. Usc cubic spline interpolation to approximate the valuc of ywhen x 15. 4. Usc lincar interpolation to approximate the value of x when y 80. 5. Usc cubic splinc interpolation to approximate the value of x when y= 80. 6. Usc cubic spline interpolation to approximate yvalucs for xvalues cvenly spaced bectween 10 and 100 at intervals of 2. 7. Plot the original data on an xy plot as data points not connected by a linc. Also, plot the values calculated in Excrcise 6.Why is the following situation impossible? A barge is carrying a load of small pieces of iron along a river. The iron pile is in the shape of a cone for which the radius r of the base of the cone is equal to the central height h of the cone. The barge is square in shape, with vertical sides of length 2r, so thatthe pile of iron comes just up to the edges of the barge. The barge approaches a low bridge, and the captain realizes that the top of the pile of iron is not going to make it under the bridge. The captain orders the crew to shovel iron pieces from the pile into the water to reduce the height of the pile. As iron is shoveled from the pile, the pile always has the shape of a cone whose diameter is equal to the side length of the barge. After a certain volume of iron is removed from the barge, it makes it under the bridge without the top of the pile striking the bridge.
- B1-1. A connection point has two force vectors with the magnitudes of F = 37 kN and F2 = 24 kN. The slope zılyn = 2/3 and the angle d= 53 degrees. 3 Y1 F, a) Determine the magnitude of the resultant force (kN). Answer: Check b) Determine the direction cosine of the resultant force vector for i direction. Answer: Check c) Determine the direction cosine of the resultant force vector for j direction. Answer: Check d) Determine the direction cosine of the resultant force vector for k direction. Answer: Check e) Determine the coordinate direction angle ß (degrees).Try and solve for the resultant of the two vectors. Also, determine the direction cosines of the resultant and sketch the resultant in the x, y, and z coordinate system. Determine the x-component of the resultant, the y-component of the resultant, the z-component of the resultant, the magnitude of the resultant , the angle made by the resultant force with the x-axis, the angle made by the resultant force with the y-axis, the angle made by the resultant force with the z-axis.Physics problem about vectors