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Cable OA is used to support the column OB. Determine the angle it makes with the...
(Please solve ALL the questions) SHORT QUESTIONS (25 points each) (Steps carry points) 1. Cable OA is used to support column OB. Determine the angle op that OA makes with beam OD. 8 m 8 m
Two lines, OA←→OA↔ and OB←→OB↔, meet in a θ=63∘θ=63∘ angle at the origin OO in the x,y-plane. AA is on the positive x-axis and BB is in the first quadrant. Light sent from point P=(11,4)P=(11,4) reflects off line OA←→OA↔ at point AA, then reflects off line OB←→OB↔ at point BB, then arrives at point Q=(11,7)Q=(11,7). Where, exactly, are points AA and BB? Write each answer in Cartesian coordinates, accurate to at least three decimal places. AA = BB =
11. (10 points) Check to determine if a W14x159 used as a column can support an axial dead load of 250k and an axial live load of 1000k if the length of the column is 14 feet and the value of G for Joint A has been determined to be 0.8. Use the LRFD Design Method and assume that the columns are bending about their y axis as shown. (Hint: The answer is in the Manual) W14x159 Fixed Base at...
Find the approximate angle that the vector v with the positive x-axis. -2i + 4j makes Oa) 116.6 Оы 153.4° Od 135.5 O d)-26.6 Oe) -63.4 Question 5 (1 point) If v(2, -3) and w (3, -5), find w O a) v w19 Оbv w- 9 O d) vw 21 O e) v w47 Question 6 (1 point) Find the approximate angle between the vectors v(2, -3) and w= (3, -5) Oa) 0.05 Оы 177.3° Oc 92.7 Od) 14.2 Oe)...
Tension question Cable ABC has a length of 6 ft and is used to support the 40 lb load (B is a frictionless pulley): 5 ft 1 ft A) Determine the position x and the tension in the cable that is required for equilibrium
Consider the three displacement vectors shown in the figure: Vector A→ has a magnitude of 7.90 km and a direction that makes an angle θ = 31.0° to theleft of the positive y-axis, vector → B has a magnitude of 6.20 km and a direction that makes an angle of α =28.0° above the positive x-axis, and vector →C has a magnitude of 4.10 km and a direction that makes an angle β = 57.0° below the negative x-axis. Determine...
If the spring OB has been stretched 45 mm and has a k = 1.0 kN/m, determine the tension in (a) rope OA, (b) rope OC, and (c) rope OD needed to hold the mass of 22.94 kg. Note: Rope OD is in the x-y plane. (Hint: Fsp = k(Δx)) If the spring OB has been stretched 45 mm and has a k = 1.0 kN/m, determine the tension in (a) rope OA, (b) rope OC, 2. and (c) rope...
A flanged wooden shape is used to support the loads shown on the beam. The dimensions of the shape are shown in the second figure. Assume LAB = 5 ft. LBC = 2 ft, LCD= 3 ft, LDE = 4 ft, Pc = 2060 lb, Pe= 1990 lb, WAB = 750 lb/ft, b1 = 10 in., b2 = 2 in., b3 = 7 in., dų = 2 in., d2 = 8 in., d3= 2 in. Consider the entire 14-ft length...
Rigid bar ABC is 4 ft long and lies in the yz-plane. A hinge at A and cable CD support the bar. The hinge axis lies along the x-axis. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) Determine the reactions the hinge exerts on the bar and the tension in cable CD. Point B, where F is applied to the rod, is 3 ft (measured along the rod) from...
Determine the magnitude of the resultant and the angle that makes with positive X-axis. 150 lb F = 75cos (45)% = 53:03 F: Isocos (90°: 0 F3= 90 cos (105)=-23.29 Fy: 200 COS (180)° -200 fo=250 (05 (250) 85.5 90 lb 30 200 lb 52501b