The horizontal steel shaft has a mass of 475 kg and is suspended by a vertical cable from A and by a second cable BC which lies in a vertical transverse plane and loops underneath the shaft. Calculate the tensions T₁ and T₂ in the cables. 1.1 m T2 1.1 m 2.4 m B T2 3.1 m T₁ 0.6 m 2.5 m
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- The horizontal steel shaft has a mass of 360 kg and is suspended by a vertical cable from A and by a second cable BC which lies in a vertical transverse plane and loops underneath the shaft. Calculate the tensions T1 and T, in the cables. 1.0 m 1.0 m B. T2 Т T1 2.0 m -1.9 m 2.6 m 0.6 m Answers: N T1 = i N T2 = iThe figure shows the Russel fracture traction device and a mechanical model of the leg. The leg is held in balance in the position indicated by the two weights attached to the two cables. The combined weight of the leg and cast is W=180 N. The horizontal distance between points A and B where the cables are attached to the leg is L=100 cm and the vertical distance is d=5 cm. Point C is the center of gravity of the cast and leg at three quarters of the L measured from point A (3L/4= 75 cm). The angle that cable 2 makes with the horizontal is measured as β=30°. Accordingly, in order for the leg to remain in balance in the shown position; a) Find the tensile force T1 in cable 1. (Write your result in N) Answerb) Find the tensile force T2 in cable 2. (Write your result in N) Answerc) Find the angle α of cable 1 with the horizontal. ResponseThe horizontal steel shaft has a mass of 590 kg and is suspended by a vertical cable from A and by a second cable BC which lies in a vertical transverse plane and loops underneath the shaft. Calculate the tensions T and T, in the cables. 1.4 m 1.4 m B T2 T2 T1 3.3 m 3.0 m 4.0 m 0.7 m Answers: N T1 = i N T2 =
- The figure shows the Russel fracture traction device and a mechanical model of the leg. The leg is held in balance in the position indicated by the two weights attached to the two cables. The total weight of the leg and the cast is W=250 N. The distance between the points A and B where the cables are attached to the leg is given as L=100 cm and the angle of the leg with the horizontal is γ=6°. Point C is the center of gravity of the cast and leg at three quarters of the L measured from point A (3L/4= 75 cm). The angle that cable 2 makes with the horizontal is measured as β=40°. Accordingly, in order for the leg to remain in balance in the shown position; a) Find the tensile force T1 in cable 1. (Write your result in N) Answerb) Find the tensile force T2 in cable 2. (Write your result in N) Answerc) Find the angle α of cable 1 with the horizontal. ResponseThe structure consists of a spring CD and a solid member ABC with a slot at B. The peg at B fits loosely into the slot at B and can hence be interpreted as a smooth support. The unstretched length of the spring is 80 mm. 50 mm 150 mm 50 mm A D C B k = 600 N/m 1.1 Draw separate free-body diagrams of member ABC and the spring CD. 1.2 Comment on the existence of two-force members and three-force members in this system. 1.3 Determine the reactions at A and B on the member ABCA smooth inclined plane has a gradient of 1 in 6. Calculate the mass of a body that can be held in equilibrium on the plane by a force of 80 N when the force acts: (a) parallel to the plane answer M=49.62kg (b) horizontally answer M=48.94 kg (c) at an angle of the 20° with the plane. answer M=46.62kg
- 2. The backhoe supports a 7.5 kN weight of soil in the bucket which has a center of gravity at G. Find: 0.64 m 0.25 m ● 0.26 m 0.3 m 1.68 m Force in cylinder ED (indicate if force is in tension or compression) Force in cylinder FI (indicate if force is in tension or compression) OF 0.4 m 0.1 m A -1.44 m- 17.5 kN 0.25 m D B m E 0.22 m 0.45m H O SUSIS Force in ED = Force in FI = KN (Tor C) kN (Tor C)the intermediate answers are given for the unit vectors for the cable tensions; however, all the work must be done to obtain these answers.The light boom AB is attached to a vertical wall by a ball and socket joint at A and supported by two cables at B. A force P is applied at B where P = 19i - 14j kN.Note that the reaction force at A acts along the boom because it is a two-force member. Calculate the magnitude of the reaction force at A in kN. %3D 2 m C 4 m 6 m y Answer: Calculato the madnitude of the tension in cable BD in kN. ere to search 3m 6m
- The figure shows the Russel fracture traction device and a mechanical model of the leg. The leg is held in balance in the position indicated by the two weights attached to the two cables. The combined weight of the leg and the cast is W=210 N. The horizontal distance between points A and B where the cables are attached to the leg is L=100 cm and the vertical distance is d=6 cm. Point C is the center of gravity of the cast and leg at three quarters of the L measured from point A (3L/4= 75 cm). The angle that cable 2 makes with the horizontal is measured as β=33°. Accordingly, in order for the leg to remain in balance in the shown position; a) Find the tensile force T1 in cable 1. (Write your result in N) b) Find the tensile force T2 in cable 2. (Write your result in N) c) Find the angle α of cable 1 with the horizontal.The figure shows a mechanical model of the Russel fracture traction device and the leg. The leg is held in balance in the position indicated by the two weights attached to the two cables. The total weight of the leg and the cast is W=200 N. The horizontal distance between points A and B where the cables are attached to the leg is L=100 cm and the vertical distance is d=10 cm . Point C is the center of gravity of the cast and leg at three quarters of the L measured from point A ( 3L/4= 75 cm) . The angle that cable 2 makes with the horizontal is measured as β=40 ° . Accordingly, in order for the leg to remain in balance in the position shown; a) Find the tensile force T 1 in cable 1 . (Write your result in N ) b) Find the tensile force T 2 in cable 2 . (Write your result in N ) c) Find the angle α of cable 1 with the horizontalA The square steel plate has a mass of 1830 kg with mass center at its center G. Calculate the tension in each of the three cables with which the plate is lifted while remaining horizontal. 2940 mm C 1390 mm 1390 mm A 1390 mm 2780 mm В Answers: TA = i kN TB = i kN Tc = i kN Determine the tensions in cables AB, AC, and AD. 1.45 m 2.25 m 1.15 m 0.50 m B D 2.6 m 145 kg Answers: TAB = i N TẠC = TAD = N