The 66-m microwave transmission tower is steadied by three guy cables as shown. Cable AB carries a tension of 18 kN. Express the corresponding force on point B as a vector. A 66 m 35 m D 11 m B 38 m 27 m> 22 m 21 m 34 m
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- 4 250N GOON 30⁰ F3 450N F₁ 300 N * Determine the resultant force and it's direction, measured counterclockwise from the positive x axis.If a vector force F = -7i+10 j+6k [kN], what will be the coordinate direction angle with the Z-axis: Select one: O a. y = 80.8 O b. y 36.8239 O c.y= 116.566° O d.y = 63.823°SAQ 1 1.2 m D 80 kN m An 80-kn. m couple shown in the plate is caused by a pair of parallel forces of magnitude F (not shown). 1.6 m Determine: a) the smallest possible value of F, and b) the value of F if the forces act at points A and C and are parallel to the dashed line shown at A. А В 60°
- 2. The automobile engine block is suspended by a system of cables. The mass of the block is 200 kg. What are the tensions in cables AB and AC?alculate the forces in members AB, BH, and BG. Members BF and CG are cables which can support tension only. Forces are positive if in tension, negative if in compression. 8 KN 3 m B 3 m c 3 m D ty 52 52 52⁰ 52% Answers: AB= i BH = BG= i H i 11 kN E kN KN kN16 9. Three horizontal plastic ropes pull on a box which is stuck on the ground producing vector forces: A. B and C as shown. Find the magnitude and direction of the fourth force that will make the vector sum of the forces zero B = 40 N A 50 N 30° 60° = 20 N Figure 20 Ans. 57.2N, 56.3° below -x-axis
- Knowing that the tension is 445 lb in cable AB and 530 lb in cable AC, determine the magnitude and direction of the resultant of the forces exerted at A by the two cables. B A 45 in. 40 in. с 60 in. 60 in. D x The magnitude of the resultant of the forces at A is |lb. The direction of the resultant of the forces in the x-direction is The direction of the resultant of the forces in the y-direction is The direction of the resultant of the forces in the z-direction is BIf a vector force F = 6 i +9j+2 k [kN], what will be the magnitude of this force: Select one: O a. F=12 [kN] O b. F=11 [kN] O c. F=0 O d. F=-11 [kN]Determine the magnitude of the x- component of force Q (in N) if P=96.4 N, Q = 55.2 N , 0= 55.53° and a = 49.46°.Round off only on the final answer expressed in 3 decimal places. Instead of units, indicate the direction of the x-component. Use R if to the right, L if to the left, U if upward or D if downward. y P
- The 50-kg pipe is supported at A by a system of five cords. Determine the force in the cable AB for equilibrium: of 60° Select one: O a. T(AB) = 793.83 N O b. None of these T(AB) = 566.38 N O d. T(AB) = 493.83 NThree people are pulling a heavy object along the floor with forces A, B and C as shown in the figure. What is the resultant (i.e. suml of the three forces? The forces are given by (all angles are CCW from + x-axis): A = magnitude 20 N, direction 30º. B = magnitude 40 N, direction 140°. C= magnitude 30 N, direction 240º. в А х-ахisCables are knotted at O. Determine the tension in Cable OC. C(-3,-4,12) ft z а 19101b c 6.06 lb b 6280 lb d 195 lb Determine the tension in Cable OA. а 1930 Ib b 45.0 lb c 60.0 lb d 489 lb В Determine the tension in Cable OB. а 45.01b b 60.0 lb 180 lb c 1450 lb d 589 lb