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 and Dynamics
- The 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_forwardA force P (200 + R)i + (250+ R)j + 300 k N, is acting at origin of the co-ordinate system, and a moment M = (10+ R)i + (100 - R)j + 30 k N-m, is acting at (0.5,1.0, -0.5) m from origin. Replace the given force system by equivalent wrench system, and determine the point where the axis of wrench will pass through x-z plane. (R = 41)arrow_forwardFrom a single point, five sets of horizontal wires are radiating , viz , the first due north , the 2nd 75o northwest , the third 75 southwest and the fourth 30 southeast . The tension at these 4 sets of wires is 100 N, 60N, 80 N and 120 N, respectively. Find the direction of the fifth wire, its tension and position. Use Varignon’s theorem to find the moment that the force shown in Fig. exerts about point,B.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_forwardForces F, P, and T are concurrent. F is acting up to the right at angle α with respect to the x axis, P is directed down to the right at angle β with respect to the x axis and T is directed to the left along the x axis. Determine: The value of F and α if T=450N, P=250N, β=30^0, and the resultant is 300N acting up to the y axis The value of F and α if T=450N, P=250N, β=30^0, and the resultant is zero. The value of α and β if T=450N, P=250N, F=350N and the resultant is zeroarrow_forwardQ4. The 70-N force acts on the end of the pipe at B. Determine the angles 0 (0°so S 180°) of the force that will produce maximum and minimum moments about point A.What are the magnitudes of these moments. L 0.9 m 70 N B. -0.3 m-- -0.7 marrow_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_forwardQ2) The cable AB carries a tension of 500 N. Determine the moment about O of this tension as applied to point A of the slender bar ( negligible mass). 650 mm DA 500 mm 30°arrow_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_forward
- 10 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_forwardProblem 3.8 - Determine the moment about the line AB due to Force F. N 18 m A 20 m n 10 m C B D 15 m F = 6 kN 12 m Xarrow_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
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