Three cables are secured to a ring at B.  A turnbuckle on cable BC is tightened such that the tension in cable BC is 1.6 kN.     (Hint: You’ll need to define/insert your own x-y coordinate system).   Determine the tensions in cables BA and BD.  (Hint: FBD/EQNS/SOLVE)

Figure Q1c shows a bracket on rollers that allow the bracket to move along a beam in the horizontal direction. A force F₁ of 2625 N acts at point A where the angle between F₁ and the x-axis is 100. If force F2 acts at an angle a = 40° between F2 and the y-axis: (1) (ii) Give your answers to the nearest newton (N) to 2 decimal places. Assume coplanar forces and assume horizontal rolling is frictionless. Determine the magnitude of F2 necessary to maintain bracket on horizontal equilibrium. Determine the vertical force at A acting along the y-axis. F1 0 y α Figure Q1c F2 X

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PROBLEM 3: A pole AB is being lifted using cables BC and BD. The pole is tilted at an angle of 60⁰ from the horizontal (from xy-plane) and the tensions in BC and BD are 26.1 and 11.3 kN, respectively. [7] Determine the coordinates of B. Answer format: (x, y, z) (ANSWER: 6.00, 0.00, 10.39 m) [8] Calculate the magnitude of the resultant of the two tensions BC and BD acting at B. (ANSWER: 36.04 KN) [9] Calculate the directional angle of the resultant of tensions BC and BD acting at B with respect to the z-axis (γ). (ANSWER: 135.969⁰) and with respect to the y-axis (β). (ANSWER: 103.611⁰).