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- The pipe ABCDE is supported by ball-and-socket joints at A and D and by cable ECF that passes through a ring C with negligible friction and is attached to hooks at E and F. Knowing that the frame supports a uniformly distributed load of 1500 N/m along segment AB, do the following.1) Shows the correct vector representation of the resultant of the two tension forces acting at ring C. Note that T_CF = T_CE = T2) Explain along which line/axis you can sum moments to generate an equilibrium equation with only the magnitude of the tension force as the unknown. Explain your choice.3) Find the magnitude of the tension force.Given the h and b with a radius of curvature of 104ft determine and normal force on a 30kg rider at point BDetermine the algebraic sum of the moments of forces relative to a point in F = 10.0 N; m =9.0 Nm, q =8.0 N/m
- PROBLEM 4: The boom OC is subjected to tension forces at A and C. It is known that the tension in A is 26 kN and at C is 12 kN. Unit vector CE. (ANSWER: -0.38i-0.87j+0.32k) Tension at A. (ANSWER: 13.20i-15.8j+15.8k kN VECTOR COMPONENT FORM) Moment about O due to the given forces. (ANSWER: 78.71i+0j+3.2k kN VECTOR COMPONENT FORM)The 110-lb traffic light is suspended from two identical cables AB and BC, each weighing 0.80 lb/ft. If the maximum allowable horizontal force exerted by a cable on a vertical post is 170 lb, determine the shortest possible length of each cable and the corresponding vertical distance h.The bar AC is supported by a joint at A and a pin B that is free to slide in the same direction (alpha) of the bar. A bar is connected at C and a force is applied in the theta direction. Consider that L1 = 2.7 m, L2 = 1.7 m, alpha = 13 °, theta = 25 °, and P = 68 kN. Determine the magnitude of the force (kN) on pin B.
- Which these statements are true i) The direction of the moment vector is in the plane containing the force and radius vectors. ii) A force lower than the static limiting frictional force could maintain a body in motion. iii) The vector definition of moment of a force (M ), is M =F x RA sign of weight 2280 N is supported as shown by a ball and socket support at A and two cables BC and AD 1- Tension in cable BC is (N) : (a. 4560 - b. 6840 - c. 5700 - d. 7980 - e. 9120 ) 2- Tension in cable AD is (N): (a. 10260 - b. 13680 - c. 15960 - d. 18240 - e. 10640 ) 3-Magnitude of x-component of reaction at O is (N): (a. 5700 - b. 6840 - c. 7980 - d. 9120 - e. 10260 ) 4- Find Magnitude of y-component of reaction at O is (N) 5- Find Magnitude of z-component of reaction at O is (N)Determine the resultant of the following concurrent forces: 8 N, 60o N of E and 40N, 45o N of W using: a. law of sine and cosine, andb. parallelogram method For b use the scale: 2N =1 cm.
- Vectors A, B and C are defined as follows: A = 2.5i + 3.6j – 4.3k; B = 2.5i – 5.6j + 2.2k; C = 8.4i + 8.5k Determine A·(B×C) The light boom AB is attached to a vertical wall by a ball and socket joint at A and supported by two cables at B. A force P is applied at B where P = 11i - 10j kN.Note that the reaction force at A acts along the boom because it is a two-force member. Calculate the magnitude of the reaction force at A in kN Determine the magnitude of the moment of P about the origin (point O) in Nm.the three showed forces are equivalent to one ascending force of 50kN in A and has a torque of 170kN*m in couter-clockwise sense. Determine P and Q4. Two cables A and B are attached to a hook. Cable A exerts a pull with a magnitude and direction defined by the vector A = 6i + 4k (kN). Cable B is also attached to the same hook where cable A is attached, cable B exerts a pull with a magnitude and direction defined by the equation B = -4i +7k (kN). What is the magnitude of the resultant force exerted by both cables? Express your answer in unit of kN.