a. An individual is pulling on a rope (along the y axis) that is connected to 3 other ropes attached to a wall (x-z plane). The rope connected from A to D has a unit vector of UAD=0.645i-0.743j+0.178 k. The rope connected from A to C is in the x-y plane and has an angle, a=22° The rope from A to B is connected at coordinates, A=(0,11, 0) and B =(0, 0, 9). If the tension in rope from A to D is F =61lbs How much force is the individual pulling the rope with? D a A (XYZ) B (XYZ)
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- ASAPif a and b are vectors given by a = (î- 3ĵ+ 5k) and b = (2î+ 4ĵ + 6k), find a. a+b b. a - b c. a - b (the dot product of a and b or "a dot b")A position vector from point B to the line of action of a force vector F is given as: rBF = {-10j + 2Ok} m Which of the following force vectors would cause the least amount of moment about point B? a) F = {3i - 6k} kN O b) F = {30.5j} kN O c) F = {5i - 10k} kN O d) F = {20j} kN
- In the four-rod mechanism. You have a closed polygon, where: a = length of input crank = 1 inch b = length of connecting rod = 2 inches c = length of output crank = 2 inches d = length of fixed rod = 2 inches. By varying the angle θ, the perimeter of the polygon is preserved, but not its area. Determine the angle θ where its maximum area is reached and the minimum area of the polygon.$ 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 partThe position vector rAB = 150i – 85j + TAB2 k has magnitude equal to 188 m. a) Determine the z-component r48 2 (positive). b) If the coordinates of point A are (25, 50, -20)m, define the coordinates of point B. c) Find the angle in degrees of the vector with the y-axis. d) Express a unit vector parallel to rAB in terms of components.
- Q1: A position vector has a length of 40 m and is at an angle of 57° above the x- axis. Find the vector's components.Three forces intersect at point (1, 1, 1). Their magnitude and respective second point of incidence are as follows: 450 lbs (4, -3, 7), 600lbs (-1, 5, -4), 300lbs (-3, 6, -2) 1. Compute the direction cosine on the x-axis. a. 0.394 b. 0.124 c. 0.762 d. 0. 513 2. Compute the direction cosine on the y-axis. a. 0.394 b. 0.124 c. 0.762 d. 0. 513 3. Compute the direction cosine on the x-axis. a. 0.394 b. 0.124 c. 0.762 d. 0. 513In a design, a line is constructed by connecting PO(2,2,2) and P1(6,6,11), and point P2(2,3,13) is defined. If point P2 is rotated about the axis POP1 anti clockwise by 60 degrees. Find the coordinate of the point P2 at the new location and verify your result by using SolidWorks. X Xp Z Z₂ 0 P P₂ Y₁ 5 P₁
- : 4i +k = 2i – 3j–k c= 2î + 3j- 2k d = -i+2j+k 1. a = Calculate the vector product a×b. Check that a xb is normal to a and to b. Calculate cxd and cx d. Find a unit vector normal to the plane of the vectors b and d.An L-shaped bracket is supported by a frictionless pin at A and a cable between points B and D. If pin A is the origin, point C is at (-7, 0); and pin B is at (-7, -10). The cable is attached between point B and an anchor at point D, at (-2, -14). Units are in feet. Force F acts at point C at an angle of 60o from the positive x-axis. Determine the magnitude of the moment that the force F produces about point A. Determine the tension required to hold the bracket in position.A ring is attached with 3 ropes. A force of P=250 lb is applied to the ring. The direction of the rope D is defined by 3 directions from each axis x, y and z: a = 80°, B = 45° and y = 30°. The direction of the rope C is defined by 2 directions from a plane and an axis: 0 70° and 8 = 20°. = X D B B d A 0 S What is the cartesian vector form of the tension Tp ?