In Figure below: A 400 N load is suspended from the ring A. If the load is supported by three cables AB, AC and AD. (Cable AB lies in the x-y plane and cable AC lies on the negative side of the x-axis). A. Determine the force in the cables for equilibrium. B. Write the cartesian vector representation for the forces in the three cables.
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- GOAL Apply the two conditions of equilibrium. (a) A uniform beam attached to a wall and supported by a cable. (b) A force diagram for the beam. (c) The component form of the force diagram. Three figures (labeled a, b, and c) are shown for the person-beam system. In Figure (a), an illustration of the scenario is shown. The left end of a horizontal beam of length 5.00 m is connected to a pin on a vertical wall. A cable connects the right end of the beam to the top of the wall, creating an acute angle 53.0° with the horizontal. A person stands on the beam between the left end and the center. In Figure (b), a horizontal beam is under the influence of four forces. A force vector R acts up and right on the left end of the beam. A force of magnitude 600 N acts downwards on the beam between the left end and the center. A force of magnitude 300 N acts downwards on the center of the beam. A force vector T acts up and left on the right end of the beam at an acute angle 53.0° from the…Question 2) 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 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. ResponseConsider the frame shown in (figure 1). Suppose that w=460 N/m. Determine the x and y components of force which the pin B exert on the frame using scalar notation.
- If the forces in a system were drawn graphically on scale, which among the force systems is in equilibrium? Note: F is the force in the system, R is the resultant. A) A, C, and D only B) B and E only C) A, D, and E only D) All of them are in equilibrium. E) None of them are in equilibrium.A bored student builds a levitating lantern using objects they 3D printed in the Fischer Engineering Design Center. The student connects the blue and green pieces with two strings at points A and B, as shown below. If the blue (top) object weighs 181 g and the tension in string A is 3.2 N, what is the distance from the left side of the object to its center of mass in cm? Assume the system is in static equilibrium.A 50 kg pole extends up a wall, making a 60° angle with the wall. The pole is supported by acable attached 3/4 of the way along the pole. This support cable is perpendicular to the wall.A 10 kg sign hangs from the end of the pole. The pole’s center of mass is 1/3 of the way fromthe wall to the end of the pole. (a) What is the tension in the cable?(b) What are the x and y components of the force the wall exerts on the pole?You must include an extended free body diagram showing all forces acting on the pole. Labelthe location on the pole you will use a reference for measuring distances (the “axis of rotation”) at the point where the pole touches the wall. Thank you!
- 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. ResponseThree cylinders are piled in a rectangular ditch as shown in figure.Determine the reaction between cylinder A and vertical wall?Three forces act on particle A located at the origin of an x-y coordinate system. Force B acts at 140o from the positive x-axis, and force C acts at 15o from the positive x-axis. The weight acts down with a magnitude of W = 100 kN. Use the equations of equilibrium to determine the magnitudes of B and C such that particle A is in equilibrium. Carefully draw a neat, labeled, free body diagram of particle C. Based on your FBD develop two equilibrium equations in terms of the symbols defined on your free body diagram. Find angles α and β. FB= 117.92 kn Fc= 93.507 Kn
- Learning Goal: To use the equations of equilibrium for a three-dimensional object to solve for the support reactions. The plate shown in (Figure 1) is supported by a roller and a cable in the xx-direction at AA, a ball-and-socket joint at BB, and a roller at CC. A force FFF = 6.6 kNkN is applied at the centroid of the plate parallel to the yzyz-plane and making an angle of θθtheta = 34 ∘∘ with the xyxy-plane. The sides ABAB and BCBC of the plate have length LLL = 1.2 mm . What is the reaction force in the yy-direction at point BB? Let a positive force act in the positive yy-direction. What is the reaction force in the zz-direction at point CC? What is the reaction force in the zz-direction at point AA? What is the reaction force in the zz-direction at point BB? What is the tension TT in the cable? What is the reaction force in the xx-direction at point BB? Let a positive force act in the positive xx-direction.The 300kn sphere is supported by a pull p and a 200kn weight passing over a frictionless pulley. If a=30°. Computer the value of p and tangent.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 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. Response