3.48 The 25-m crane boom AO lies in the yz plane. Determine the maximum permissible tension in cable AB if the absolute value of moments about the coordinate axes of the force exerted on A by cable AB must be
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Vector Mechanics for Engineers: Statics
- Refer to Fig. 2.4. The tension in the cable BD is 1 kN. As a result, cable BD exerts a 1-kNforce on the “ball” at B that points from B toward D. Determine the moment of this forceabout point A. please show the detailed solution. thank youarrow_forward4. 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.arrow_forwardThe system consisting of the bar OA, two identical pullies, and a section of thin tape is subject to the two 180-N force couple as shown. 180 N r = 25 mm 100 mm L--x 180 N 45° 50 mm Using the coordinate system shown, if the net moment of the couple can be written as a vector M = M,k (kN), %3D determine the magnitude of the moment of the couple about the z axis (answer in N.m) Answer:arrow_forward
- 0.4 m B A 4.8 m 0.6 m 5.6 m E F 4.8 m x PROBLEM 3.51 A farmer uses cables and winch pullers B and E to plumb one side of a small barn. If it is known that the sum of the moments about the x axis of the forces exerted by the cables on the barn at Points A and D is equal to 7.6 kN-m, determine the magnitude of TDE when TAB = 1.02 kN. IDE = 1.14 KNarrow_forwardPlease solve correctly and cleanarrow_forwardA crane is oriented so that the end of the 25-m boom AO lies in the yz plane. At the instant shown, the tension in cable AB is 4.8 kN. Determine the moment about each of the coordinate axes of the force exerted on A by cable AB.arrow_forward
- 2. (a) Find the resultant of these three forces in vector form. (b) Find the magnitude of part (a) F₁ = 30 kip Z 50° 30° 36° 33° 26° F3 = 20 kip F₂= 35 kip Xarrow_forwardProblem 6 A force system is shown below. 50 N 90 N 40° 40 N-m 0.40 m 0.80 m 100 N a. Determine the magnitude of the resultant? b. Determine the angle that the resultant force makes with the x-axis? c. Determine the magnitude of the resultant moment acting at point 0? () 0.30 m 0.50 m ********* ******.*..arrow_forwardVector Mechanics for Sample Problem 3.4 80 mm 300 mm 240 mm 80 mm 240 mm The rectangular plate is supported by the brackets at A and B and by a wire CD. Knowing that the tension in the wire is 200 N, determine the moment about A of the force exerted by the wire at C. O 2007 The McGraw-Hill Companies, Inc. All rights reserearrow_forward
- QUESTION 5 Knowing that the tension in cable AC is 1065 N, determine the moment about each of the coordinate axes of the force exerted on the plate at C. 360 mm 920 mm lo 600 mm 900 mm O My = -576 N-m, My = -405 N-m, M2 = -243 N-m O My = -243 N-m, My = -576 N-m, M, = +405 N-m O My = -405 N-m, My = -243 N-m, M, = +576 N-m O My = -576 N-m, My = -243 N-m, M2 = +405 N-marrow_forward*A cable is attached to bar OA and point A as shown. The tension in the cable is F = 400 N.* Pt A. Resolve for F into its vector components. Pt B. Use the dot product to find the magnitude of the projected component of the force along the pipe AO. Pt C. Use the cross product to find the moment force F exerts about point O. Report your results in vector component form.arrow_forward10 N at 120°, and C = 16 N at 205° Three coplanar forces are given as follows: A = 6 N at 250°, B = Plot the forces in one Argand plane and label properly. Determine the resultant D, where D = A +2(B - C), expressed in both Polar and Cartesian forms.arrow_forward
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