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2009_exam01_v21

2009_exam01_v21 - Name_ 1. Please complete the...

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Unformatted text preview: Name_______________________________________________________ 1. Please complete the following short problems. For parts 1A and 1B, we will consider three M88 recovery vehicles pulling an M1 tank back onto the road as shown below. F2 F1 50° M88 #2 M88 #1 y 50° A B M88 #3 A B M1 tank F3 G 12 ft 20 ft 1A. If the magnitude of the cable forces acting on the tank are known to be F1 = 10,000 lb, F2 = 15,000 lb and F3 = 20,000 lb, determine the total moment that the cable forces F1, F2 and F3 exert about the tank’s center of mass (see figure of tank above right). Assume that the tank’s center of mass G is at the geometric center of the rectangle shown. (6 points) MG = x Name_______________________________________________________ 1B. What is the total resultant force due to all three forces acting on the tank? Please write your answer in vector form. (4 points) Ftotal = 1C. Determine the component of the moment about the x axis generated by the two wrenches. (4 points) Mx = Name_______________________________________________________ 1D. What is the projection of the force in cable CD in the direction of the line connecting points O and F? (6 points) FOF = Name_______________________________________________________ 2. A seat/harness combination shown is required to carry an 800 N load. 2A. First, draw a free body diagram in the space provided. (6 points) 2B. Second, find the unit vectors that provide the directions for the forces in cables AD, BD, and CD. (6 points) uAD = uBD = uCD = Name_______________________________________________________ 2C. If the system is in equilibrium, determine the magnitude of the tensile force in each cable. (8 points) TAD = TBD = TCD = Name_______________________________________________________ 3A. A catwalk with a mass of 100 kg has two roller supports and a cable fastening it to the dock. In the space provided, please draw a complete free body diagram. (5 points) Free Body Diagram Determine the magnitudes of the forces at A and B as well as the tension, T, in the cable. (6 points) Name_______________________________________________________ 3B. Determine the total force due to each distributed load. Then, on a separate figure, replace the distributed load with a single concentrated force at the correct location. Recall that x = x1/ 2 . (5 points) Replace the distributed load with a single force here. Total Force = Location = Name_______________________________________________________ 3C. Determine the total force due to each distributed load. Then, on a separate figure, replace the distributed load with a single concentrated force at the correct location. (4 points) Replace the distributed load with a single force here. Total Force = Location = ...
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