Pisiks 71 Prob Sets
8
Supplementary Problems 5.12 As shown in Fig. 5-13, two people sit in a car that weighs 8000 N. The person in front weighs 700 N, while the one in the back weighs 900 N. Call L the distance between the front and back wheels. The car's center of gravity is a distance 0.400L behind the front wheels. How much force does each front wheel and each back wheel support if the people are seated along the centerline of the car? Ans. 2.09 kN, 2.71 kN 5.13 Two people, at the ends of a uniform beam that weighs 400 N, hold the beam at an angle of 25:08 to the horizontal. How large a vertical force must each person furnish to the beam? Ans. 200 N 5.14 Repeat Problem 5.13 if a 140-N child sits on the beam at a point one-fourth of the way along the beam from its lower end. Ans. 235 N, 305 N 5.15 As shown in Fig. 5-14, the uniform, 1600-N beam is hinged at one end and held by a tie rope at the other. Determine the tension F T in the rope and the force components at the hinge. Ans. F T 0:67 kN, F RH 0:67 kN, F RV 1:6 kN 5.16 The uniform beam shown in Fig. 5-15 weighs 500 N and supports a 700-N load. Find the tension in the tie rope and the force of the hinge on the beam. Ans. 2.9 kN, 2.0 kN at 358 below the horizontal 64 EQUILIBRIUM OF A RIGID BODY UNDER COPLANAR FORCES [CHAP. 5 Fig. 5-13 Fig. 5-14 Fig. 5-15 5.17 The arm shown in Fig. 5-16 supports a 4.0-kg sphere. The mass of the hand and forearm together is 3.0 kg and its weight acts at a point 15 cm from the elbow. Determine the force exerted by the biceps muscle. Ans. 0.13 kN 5.18 The mobile shown in Fig. 5-17 hangs at equilibrium. It consists of objects held by vertical strings. Object 3 weighs 1.40 N, while each of the identical uniform horizontal bars weighs 0.50 N. Find (a) the weights of objects 1 and 2, and (b) the tension in the upper string. Ans. (a) 1.5 N, 1.4 N; (b) 5.3 N 5.19 The hinges of a uniform door weighing 200 N are 2.5 m apart. One hinge is a distance d from the top of the door, while the other is a distance d from the bottom. The door is 1.0 m wide. The weight of the door is supported by the lower hinge. Determine the forces exerted by the hinges on the door. Ans. The horizontal force at the upper hinge is 40 N. The force at the lower hinge is 0.20 kN at 798 above the horizontal. CHAP. 5] EQUILIBRIUM OF A RIGID BODY UNDER COPLANAR FORCES 65 Fig. 5-16 Fig. 5-17
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Transcript of Pisiks 71 Prob Sets
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7891 0:25 7891 0:20
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N7 PQRSTSULSRV W( ! LSXSO UWOY R9OPL @WMT!9!L (WL@PZ [@F!M* +
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