EML 3004 C Problem 4 4 page 138

EML 3004 C Problem 4 -4 (page 138) Draw the free body diagram of the beam which supports the 80 -kg load and is supported by the pin at A and a cable which wraps around the pulley at D. Explain the significance of each force on the diagram. Solution: 80(9. 81)N is the effect of the cable (the weight of the object) on the beam. T is the effect of the cable on the beam. Ax and Ay are the effect of the pin Support on the beam. Namas Chandra Introduction to Mechanical engineering Hibbler Chapter 2 -1

EML 3004 C Problem 4 -8 (page 139) Draw the free-body diagram of the winch, which consists of a drum radius 4 in. It is pin-connected at it center C, and at its outer rim is a ratchet gear having a mean radius of 6 in. The pawl AB serves as a two-force member (short link) and holds the drum for rotating. Solution: Namas Chandra Introduction to Mechanical engineering Hibbler Chapter 2 -2

EML 3004 C Problem 4 -23 (page 155) The uniform rod AB has a weight of 15 lb. Determine the force in the cable when the rod is in the position shown. Solution: Namas Chandra Introduction to Mechanical engineering Hibbler Chapter 2 -3

EML 3004 C Problem 4 -32 (page 156) Determine the resultant normal force acting on each set of the wheels of the airplane. There is a set of wheels in the front, A, and a set of wheels under each wing, B. Both wings have total weight of 50 kip and center of gravity at Gw, the fuselage has a weight of 180 kip and center of gravity at Gf, and both engines(one on each side) have a weight 22 kip and center of gravity at Ge. Solution: Namas Chandra Introduction to Mechanical engineering Hibbler Chapter 2 -4

EML 3004 C Problem 4 -57 (page 172) The triangular plate is supported by a balland-socket joint at B and rollers at A and C. Determine the x, y, z components of each reaction at these supports due to the loading shown. Solution: Namas Chandra Introduction to Mechanical engineering Hibbler Chapter 2 -5

EML 3004 C Problem 4 -70 (page 174) Cable BC and DE can support a max. tension fo 700 lb before it breaks. Determine the greatest weight W that can be suspended from the end of the boom. Also, determine the x, y, z components of reaction at the ball-andsocket joint A. Solution: Namas Chandra Introduction to Mechanical engineering Hibbler Chapter 2 -6

EML 3004 C Problem 4 -70 (continued) Namas Chandra Introduction to Mechanical engineering Hibbler Chapter 2 -7

EML 3004 C Problem 4 -70 (continued) Namas Chandra Introduction to Mechanical engineering Hibbler Chapter 2 -8

EML 3004 C Problem 4 -78 (page 189) The car has a weight of 4000 lb and a center of gravity at G. If it pulls off the side of a road, determine the greatest angle of tilt, , it can have without slipping or tipping over. The coeffiecient of static friction between its wheels and the ground is 0. 4. Solution: Namas Chandra Introduction to Mechanical engineering Hibbler Chapter 2 -9

EML 3004 C Problem 4 -85 (page 190) The two stone blocks have weights of Wa=600 lb and Wb=500 lb. Determine the smallest horizontal force P that must be applied to block A in order to move it. The coeffeicient of the static friction between the blocks is 0. 3 and between the floor and each block is 0. 4. Solution: Namas Chandra Introduction to Mechanical engineering Hibbler Chapter 2 -10

EML 3004 C Problem 4 -85 continued Namas Chandra Introduction to Mechanical engineering Hibbler Chapter 2 -11

EML 3004 C Problem 4 -110 (page 194) Determine the angle at which the applied force P should act on the log so that the magnitude of P is as small as possible for pulling the log up the incline. What is the corresponding value of P? The log weighs W and the slope is known. Express the answer in terms of the angle of kinetic friction, = atan ( ). Solution: Namas Chandra Introduction to Mechanical engineering Hibbler Chapter 2 -12

EML 3004 C Problem 4 -110 (continued) Namas Chandra Introduction to Mechanical engineering Hibbler Chapter 2 -13