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In order to obtain a better weight distribution over the four wheels of the pickup truck of Prob. 6.95, a compensating hitch of the type shown is used to attach the trailer to the truck. The hitch consists of two bar springs (only one is shown in the figure) that fit into bearings inside a support rigidly attached to the truck. The springs are also connected by chains to the trailer frame, and specially designed hooks make it possible to place both chains in tension, (a) Determine the tension T required in each of the two chains if the additional load due to the trailer is to be evenly distributed over the four wheels of the truck. (b) What are the resulting reactions at each of the six wheels of the trailer-truck combination?
PROBLEM 6.95 trailer weighing 2400 lb is attached to a 2900-lb pickup truck by a ball-and-socket truck hitch at D. Determine (a) the reactions at each of the six wheels when the truck and trailer are at rest, (b) the additional load on each of the truck wheels due to the trailer.
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Vector Mechanics for Engineers: Statics, 11th Edition
- 75 lb 10 in. 10 in. | Calculate reaction forces for pin A and roller B for five different values of a 12 im. (0arrow_forwardThe blade of the bulldozer shown below is rigidly attached to a linkage consisting of the arm AB, which is controlled by the hydraulic cylinder BC. There is an identical linkage on the other side of the bulldozer. Applied loads shown are for both linkages and F = 656 kN. (a) Determine the magnitude of the pin reaction at A in kN. (b) Determine the magnitude of the pin reaction at B in kN. (c) Determine the magnitude of the pin reaction at C in kN.arrow_forwardProblem 1. Consider an 80-kg man assuming a position as shown in the figure below. The weight of the torso (W) is 60% of the total weight of the man while the weight of the head and arms is 50% of the weight of the torso. The spine makes an angle of 55° with respect to the vertical axis while the erector spinalis muscle mnakes an angle of 12° with respect to the spine. W, acts at point B while W, acts at point Ewhich is midway between points B and A. The force exerted by the erector spinalis muscle acts at a point D such that segment AD is about 75% the length of the segment AB. Erector spinalis muscle Pivot point A W What is the magnitude of the force exerted by the erector spinalis muscle (in newtons, N)? Round off your answer up to 3 decimal places. What is the magnitude of the force exerted on the fifth lumbar vertebra (in newtons, N)? Round off your answer up to 3 decimal places. • What is the angle (in degrees) that the force exerted on the fifth lumbar vertebra makes with the…arrow_forwardFor the pulley shown below, the tension in the cable will be -------------- after the reduction of the both mass weights by 50 %.arrow_forwardThe uniform 16-kg plate is welded to the vertical shaft, which is supported by bearings A and B. Calculate the magnitude of the force supported by bearing B during application of the 100-N-m couple to the shaft. The cable from C to D prevents the plate and shaft from turning and the weight of the assembly is carried entirely by bearing A. 220 mm: 100 N-m) B 170 mm 80 mm 600 mm D 480 mmarrow_forwardOne of the smooth vertical walls supporting end B of the 230-kg uniform shaft is turned through a 21° angle as shown here. End A is supported by the ball-and-socket connection in the horizontal x-y plane. Calculate the magnitudes of the forces P and R exerted on the ball end B of the shaft by the vertical walls C and D, respectively. Assume a = 5.6 m, b = 2.3 m, L = 6.5 m, and 0 = 21° Answers: P = 2245 R = H. B a L D N A !N barrow_forwardThe blade of the bulldozer shown below is rigidly attached to a linkage consisting of the arm AB, which is controlled by the hydraulic cylinder BC. There is an identical linkage on the other side of the bulldozer. Applied loads shown are for both linkages and F = 581 kN. Determine the magnitude of the pin reaction at A in kN.arrow_forwardOne of the smooth vertical walls supporting end B of the 100-kg uniform shaft is turned through a 40° angle as shown here. End A is supported by the ball-and-socket connection in the horizontal x-y plane. Calculate the magnitudes of the forces P and R exerted on the ball end B of the shaft by the vertical walls C and D, respectively. Assume a = 5.6 m, b = 1.8 m, L = 6.9 m, and 0 = 40°. A Answers:arrow_forwarddraw free body diagrams for the arrangement of two 50kg cylindrical rollers shown in the figure and determine the magnitudes of all the contact forces. assume all surfaces are frictionlessarrow_forwardThe blade of the bulldozer shown below is rigidly attached to a linkage consisting of the arm AB, which is controlled by the hydraulic cylinder BC. There is an identical linkage on the other side of the bulldozer. Applied loads shown are for both linkages and F = 581 kN. Determine the magnitude of the pin reaction at A in kN.Determine the magnitude of the pin reaction at B in kN.Determine the magnitude of the pin reaction at C in kN.Determine the pressure in hydraulic cylinder BC in Pa if the cylinder has a diameter of 80 mm.arrow_forwardL.A tractor of mass 1200 kg is used to lift gravel weighing 8 KN. Determine the reaction at each of the front wheel. 8 KN 500 mm 1000 mm 1250 mm 2. A fixed crane, as given in figure, has a mass of 1000 kg and is used to lift a 2400-kg crate. It is held in place by a pin at A and a roller at B. The center of gravity of the crane is located at G. Determine the components of the reactions at A and B. 2400 kg 15 i 4m 3. Determine whether the block shown is in equilibrium and find the magnitude and direction of the friction force when 0-25 and P-750N. 1200 N H, -0.35 H=0.25arrow_forward6.63 The principles of a differential chain block are indicated schematically in the figure. Determine the magnitude of force P needed to support the 800-N force. Also, find the distance x where the cable must be attached to bar AB so the bar remains horizontal. All pulleys have a radius of 60 mm.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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