CIE 200 Homework 2 Solution, Fall 2016

LAU-CE CIE200-Statics F.El Meski, PhD, PE 1 Problems # 2-SOLUTION Topics Equilibrium of a Particle (Chapter 3 in textbook). Textbook: Engineering Mechanics, by R.C. Hibbeler, Pearson, 12th Edition. Problems: Use the concept of equilibrium of coplanar and three-dimensional force systems to solve: Problems: 3-12 (page 96), 3-20 (page 97), 3-24 (page 98), 3-40 (page 100), 3- 56(page 110), 3-60(page 111). kN . D W WD . . sin sin . 15 1 0 64 3 1 0 30 5 0     WC = 0.5 kN WB=1 kN 3. 0 64 0 30 10 5 0     . cosθ cos . LAU-CE CIE200-Statics F.El Meski, PhD, PE 2 3–20. Determine the tension developed in each wire used to support the 50-kg chandelier. LAU-CE CIE200-Statics F.El Meski, PhD, PE 3 *3–24. If the bucket weighs 0.25 kN, determine the tension developed in each of the wires. 0 0 25 5 4 30 0 5 3 30                  . FEB ED sin F FEB ED cos F kN . FEB kN . FED 0 213 0 151   kN . BA F FBA . cos . kN . BC F . BC sin F 433 0 0 5 0 213 3 30 3408 0 3408 0 0 5 0 213 4 30                    FEB = 0.213 kN 0.25 kN LAU-CE CIE200-Statics F.El Meski, PhD, PE 4 3–40. The spring has a stiffness of k =800 N/m and an unstretched length of 200 mm. Determine the force in cables BC and BD when the spring is held in the position shown. LAU-CE CIE200-Statics F.El Meski, PhD, PE 5 3–56. The ends of the three cables are attached to a ring at A and to the edge of a uniform 150-kg plate. Determine the tension in each of the cables for equilibrium. LAU-CE CIE200-Statics F.El Meski, PhD, PE 6 3–60. The 50-kg pot is supported from A by the three cables. Determine the force acting in each cable for equilibrium.Take d = 2.5 m.