Represent each force as a Cartesian vector.
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- The three forces of magnitude P can be replaced by a single, equivalent force R acting at point A. Determine the distance x and the magnitude and direction of R.The pole OB is subjected to the 6004b force at B. Determine (a) the rectangular components of the force; and (b) the angles between the force vector and the coordinate axes.It can be show that a plane area may he represented by a vector A=A, where A is the area and represents a unit vector normal to the piano: of the area. Show that the area vector of the parallelogram formed by the vectors a and b shown in the figure is A=ab.
- Resolve the force F=20i+30j+50klb into two components-one perpendicular to plane ABC and the other lying in plane ABC.Express each result of Parts 1-5 in the form of a Cartesian vector. Part 4 requires the specification of 2 cartesian vectors: a force and a moment vector.1. magnitude of the resultant force = 1.30kN 2. angle between the resultant force and the x axis = 84.490 Specify where the force acts, measured from B in the positive x direction.
- The resultant of three coplanar-concurrent forces is 2000lb 90°. Determine the value and direction of the third force if F1 = 500lb due W and F2 = 240lb 30° S of WFind 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.The resultant of four coplanar, concurrent forces is 600 lb, directed S 40 E. Three of the forces are 500 lb, directed NW,; 400 lb, directed E; and 300 lb directed S. • What is the x-component of the fourth force?S Ans. 339.22 lb • What is the y-component of the fourth force? Ans. 513.18 downward • What are the magnitude and direction of the fourth force? Ans. 615.16 lb 56.53° S of E need solution and sketch thankyou
- Find the magnitude and direction of the resultant force if F1 = 100 N at 30 deg N of E and F2 = 80 N at 45 deg N of W.Find the magnitude and direction of the resultant force if F1 = 60 N at 45 deg N of W and F2 = 50 N at 60 deg S of E.Represent a force vector in terms of its rectangular components (Fx, Fy), and its polar components (F, ϴ). Where F =100 N, ϴ = 300