The rectangular plate is supported by the brackets at A and B and by a wire CD. Knowing that the tension in the wire is 200 N, determine the moment about A of the force exerted by the wire at C.
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- The 350-lb homogeneous plate has the shape of an isosceles triangle. The plate is supported by a thrust hinge at A, a slider hinge at B, and the cable CD. Find the force in the cable and the magnitudes of the hinge reactions.The rigid body is supported by a hinge at A and a cable at C. The hinge resists 5.5m translation in all three coordinate directions and rotation in the x and y directions. The 260 N force is in the -x direction and acts at the center of the 3m body. Find the tension in the cable and the components of the support C 2.5m 260N reactions at A. Your answer should include a properly Ilm annotated FBD. B 3.ImThe uniform 18kg Bar OA is held in the position shown by a smooth pin at O, and the cable AB which is in tension as shown. 1.5 m 60° B 1.2 m What is the angle between the force vector TAB and the position vector RoA, when the two vectors are placed tail to tail (Answer in degrees) Answer:
- 3. The hinged door shown has a chain attached at point C connected to point B. It has a tension force of 250 N. To maintain the door in that position shown, what is the magnitude of the moment of the axis where the hinges are attached? 2.5 m 1.5 m Fc = 250 N. 30 1 m 0.5 mQuestion The traffic light shown below is supported by a system of cables. Points A and B are in a vertical plane which is parallel to the x-z plane. Point C is in the y-z plane. B Z The traffic light has a mass of 75 kg The distances are: a = 4m, b = 6 m, c = 9 m, h = 6 m Find the tensions (in Newtons) in cables OA, OB and OC. hThe force vector F has a magnitude of F = 460 lb and acts at point A at an angle = 11° with respect to vertical as shown. The force F is balanced by the tension forces parallel to the two rods AC and AB such that the vector equation F + FAC + FAB 0 is satisfied. Determine the tension forces in the two rods in Cartesian components. b C (CC) Oo BY NC SA 2013 Michael Swanbom a b NF Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value 5.9 ft 2.8 ft 3.1 ft For the component notation, use an 'xy' coordinate system with 'y' poining up and 'x' pointing to the right. 3) lb с FAC FAB Submit Question c'es c'es î + a + = 3) lb
- The system shown consists of 3 cables. For instance; cable C12 joins points 1 and 2. The coordinates of point 1 are (4.5, 0, 0) m, those of point 2 are (0, 7.4, -5.8) m, and those of point 3 are (0, 7.4 , 5.8) m. The force P = 58 kN. Determine the force in cable C12.The member AB shown is supported at B by cable BC and at A by a square rod which fits loosely through the square hole in the collar as shown.It is acted upon by force P = 225N and a 400N force that are parallel to the z- and y- axes, respectively.Neglect the weight of the member and cable. A. What is the unit vector for cable BC? B. Determine the magnitude of tension in Cable BC in order to hold the member in equilibrium. C. Determine the magnitudes of components of the reaction forces and reaction moments at collar A. D. Briefly explain why there is no Reaction Az E. Replace the forces and moments acting on the member with a resultant force-couple system at A. Give results in Cartesian Vector Form.The system shown consists of 3 cables. For example; cable C12 joins points 1 and 2. The coordinates of point 1 are ( 2.44, 0, 0 ) m, those of point 2 are ( 0, 2.09, -4.34 ) m, and those of point 3 are ( 0, 2.09 , 4.34 ) meter. The force P = 37 kN. Determine the force in cable C14.
- 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. ResponseThe 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.Vector Mechanics for E Sample Problem 3.4 80 mm 300 mm D 240 mm 80 mm tl 240 mm C The rectangular plate is supported by the brackets at A and B and by a wire CD. Knowing that the tension in the wire is 200 N, determine the moment about A of the force exerted by the wire at C. مكء Mc Graw Hill 2007 Thhe McGraw-Hill Companies, Inc. All rjehts