KSU Dept of ME Engineering Mechanics- Statics Stud Name: ID: Midterm Aprl/27/2011 Note: Closed book Calculator is allowed. Write down necessary equations based on the equilibrium of forces before you start your calculations. 1. The three concurrent forces acting on the post produce a resultant force FR =0. If F2 = 0.5F2, and F1 is to be 90° from F2 as shown, determine the required 3. magnitude of F3 expressed in terms of F1 and the angle .(Fig.01) Determine the magnitude and coordinate direction angles of F2 so that the resultant of the two forces acts along the positive x axis and has a magnitude of 500 N. (Fig02) Determine the unstretched length of spring AC if a force P = 400 N causes the 4. angle = 60° for equilibrium. Cord AB is 0.6 m long. Take k = 850 N/m. (Fig03) If each cable can withstand a maximum tension of 1000 N, determine the largest 2. mass of the cylinder for equilibrium. (Fig04) The following problems, students must draw the F.B.D.. NOT FBD not scores!! 5. The wheelbarrow and its contents have a center of mass at G. If F =100 N and the 6. resultant moment produced by force F and the weight about the axle at A is zero, determine the mass of the wheelbarrow and its contents. (Fig05) Replace the distributed loading with an equivalent resultant force, and specify its location on the beam measured from point A. (Fig06) Fig01 Fig02 Fig03 Fig04 1 Fig05 Fig.06 2 Engineering Mechanics- Statics Stud Name: ID: Midterm Answer Aprl/27/2011 3 Midterm solutions: 1. Sol: 2. Sol: 3. Sol: 4 4.Sol: 5. Sol: 5 6. 6
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