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HOMEWORK PROBLEMS Week 2: Due Friday 25 January 1. A force F 1 = {200, 50, 300} N acts at the point {100, 30, 80} (in mm) and an equal and opposite

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HOMEWORK PROBLEMS Week 2: Due Friday 25 January 1. A force F 1 = { 200 , - 50 , 300 } N acts at the point { 100 , 30 , - 80 } (in mm) and an equal and opposite force F 2 = {- 200 , 50 , - 300 } N acts at the point { 20 , - 50 , 70 } (in mm). Find the resultant couple moment and express it as a Cartesian vector. What is the magnitude of the moment? 2. Find the reaction forces exerted on the bar AE at the pin A and at the support B in Figure 2. A B C 100 lb/ft 200 lb D E 8 5 2 2 all dimensions in feet. Figure 2 3. Find the reaction forces exerted on the structure ABC by the pin at A and by the frictionless roller support at C . The members AB and AC are both of length 3 feet. A B C o 30 1500 lb Figure 3 1
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4. Figure 4 shows a right-angle crowbar ABC which makes frictionless contact with a rigid wall at the points A , D and E . Find the reaction forces at these contact points when the crowbar is loaded by a 200 N vertical force at C as shown. A B C D E 200 N 30 o 170 500 120 all dimensions in mm Figure 4 5. The frame in Figure 5 is loaded by a force P = 2 kN. Find the horizontal and vertical components of the reaction at the pin B and the tension in the cable AE . The pulley at C is of radius 60 mm and is supported in frictionless bearings. A B 200 200 250 60 R C D E P all dimensions in mm Figure 5 2
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