4-99. Determine the required magnitude of couple moments M₁, M₂, and M3 so that the resultant couple moment is MR = {-300i +450j - 600k} N. m.
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- 117 The right-angle pipe OAB of Prob. 2/99 is shown again here. Replace the 750-N tensile force which the cable exerts on point B by a force-couple system at point O. Ans. R --5981 + 411j + 189.5k N Mo = -361i - 718j + 419k N m 1.2 m C 1.6 m 0.7 m 30 0.8 m Problem 2/117 2/118 In an afteDetermine the required magnitude of F1, F2, and F3 so that the resultant couple moment is (Mc)R = [50i - 45j - 20k] N ⋅ m.The dimensions a = 2 m and b = 1 m. The couple M = 2400 N-m. The spring constant is k = 6000 N/m, and the spring would be unstretched if h = 0. The system is in equilibrium when h = 2 m and the beam is horizontal. Determine the force F and thereactions at A.
- 7-12 Rod AB is fixed to a smooth collar D, which slides freely along the vertical guide. Determine the normal force, shear force, and moment at point C, which is located just to the left of the 60 lb concentrated loadDetermine the magnitude of the pin force at A.Assume W = 755 lb, a = 5.4 ft, b = 3.9 ft, r = 7 in.Cables OA, OB, OC, and the vertical cable, knotted at O, support the 108lb weight. Cables OA and OB lie in the x-y plane. Sketch a complete free body diagram knot at O. Select the expression that describes the tension in cable OC, acting at O, as a Cartesian vector. a. - 3/13 Toc i + 4/13 Toc j + 12/13 Toc k b. 3/5 Toc i + 4/5 Toc j c. -Toc j d. - 3/13 Toc i + 12/13 Toc j + 4/13 Toc k
- (a) Replace the force F=2800i+1600j+3000klb acting at end A of the crank handle with a force R acting at O and a couple-vector CR. (b) Resolve R into the normal component P (normal to the cross section of the shaft) and the shear component V (in the plane of the cross section). (c) Resolve CR into the twisting component T and the bending component M.How much work is done by the force in the spring when the slender rod rotates clockwise about the fixed pin support at O from the vertical position (where AB is horizontal) to the horizontal position? The spring has a stiffness of k = 125 N/m and an unstretched length of 0.15 m. Take d1= 0.29 m and d2= 0.85 m. Choose the correct answer. a) 94.9 Joule b) 99.9 Joule c) -99.9 Joule d) 0 Joule e) -94.9 JouleThe convergent system of 4 forces acting on an absolutely rigid body is balanced (ΣFKY = 0). Determine the projection of the fourth force on the Oy axis if F1y = 160.0 kN; F2y = -46.0 kN; F3y = 36.0 kN;.
- in the pulley system and the diagram above, assume that the bearings at oh and C are properly aligned and smooth and that T2 =30 N all dimensions in millimeters and the belt tensions are all tangential to the pulleys a. If the shaft runs at a constant speed, determine the tension T1 b draw a free body diagram of the shaft and determine the reactions at bearing sea in terms of the components along the Y and Z axis. Assume neither bearing and oh or see produces an axial thrust4-61 Change the force F to {200i + 400j -700k}the frame (image 1) has four applied forces and one applied couple moment. replace this system by an equivalent resulting force and couple moment acting at point B (image 2) d1 = 0.970m , d2 = 1.09m, d3 = 0.550m, d4 = 2.03m, F1 = 510N, F2 = 309N, F3 = 510N, F4 = 402N, MA = 1505 N•m Find FRx, FRy, (MR)B