The tension in the supporting cable BC is 800 lb. Write the force which this cable exerts on the boom OAB as a vector T. Determine the angles 0,, 0,y, and 0, which the line of action of T forms with the posi- tive x-, y-, and z-axes. 2.5 1.5 2.5

QUESTION 3 For the system of co-planer forces shown, (a) the resultant force and (b) the moment of the resultant force about point O are respectively: (Note: The coordinates of the points are given in metres). (4,3) 28 12 kN 14 kN 120 (4.3,-2.9) component O a. 18.44 kN, 45.46 kNm (counter-clockwise) O b. 18.44 kN, 22.49 kNm (clockwise) O c. 7.42 kN, 132.61 kNm (counter-clockwise) Od.7.42 kN, 22.49 kNm (clockwise)

4. Reduce the given loading system to a force-couple system at point A. Then determine the distance x to the right of point A at which the resultant of the three forces acts. gON 72ON 200mm 500 mm 450 mm 1200N

4. The force F is acting along DC. Using the triple scalar product to determine the moment of F about the bar BA, you could use any of the following position vectors except a. Bс b. TAD AC DB BD C. d. e. 1.5 m 2 m C 0.5 m B 1m 2.5 m 4 m