tensions T₁ and T2 are respectively
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- As shown, a truss is loaded with forces P1= 208 lblb and P2= 397 lb and has the dimension a = 3.70 ft. Determine all of the forces that act on the figure.The frame shown is fitted with three 36 cm diameter frictionless pulleys. A force of F = 920 N is applied to the rope at an angle = 35°. Member ABCD is attached to the wall by a fixed support at A. Find the forces indicated below. a a b A с d b * •G •C *c C-- .E HO F Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value 53 cm 36 cm 33 cm 88 cm For all answers, take as positive to the right and y as positive upward. → At point A, the fixed support exerts a force of A = 392.3 @ci❀O BY NC SA 2013 Michael Swanbom d oi+753.6 and a reaction couple of MA 1780 x N-m on member ABCD. At point D, the total force exerted on member ABCD by member GED and the pulley is D = its N on member ABC. Member CG is in compression of and carries a force of magnitude N. NA weight of 500N is supported by two metallic ropes as shown in the figure. The values of tensions T1 and T2 are respectively 30° T, 90° T, 120° 500 N
- In the lattice system shown in the figure, select the distance a to be between 2 meters and 5 meters and the force P between 15 kN and 35 kN and find the rod forces. Also state that the forces on the bars press my pull. AE,AB,BE,DE,CD,BC,BD =? E D а P В * a * aA smooth bead Y is threaded on a light inextensible string. The ends of the string are attached to two fixed points X and Z on the same horizontal level. The bead is held in equilibrium by a horizontal force of magnitude 8 N acting parallel to ZX. The bead Y is vertically below X and ZXZY = 30° as shown in the figure. 30 8 N + Y Find a the tension in the string, b the weight of the bead. 21Consider the force P applied at point A on the plate of the figure shown (image 1). Assuming that the weight of the plate is negligible, and that the horizontal force F, as well as the reactions Dy and Dx in the joint D balance the plate shown in the figure, choose the alternatives that are true. Note: the x-axis is horizontal and the y-axis is vertical and both have their origin at point D. Data: P = 332N If the plate had a weight of 332N (applied vertically downwards in the center of the plate), the reaction Dy on the plate should be vertical downwards so that the plate still remained in balance in that position. True or false?
- In the truss structure shown in Figure 1, determine all the force members in the bars and state the condition of each bar. E 6 m 5 m F 4 m D 6 m 3 m G 6500 N 6 m 5 m 45° A 6 m B.As shown, an L-shaped bar is supported by a pin at joint A. The bar's dimensions are aaa = 620 mmmm and bbb = 400 mmmm , and the bar is subjected to a force with magnitude FFF = 5.05 kNkN at joint B. Ignoring the bar's weight, find the actual orientation of the applied force. What is the value of the angle θθtheta?A distributed force and a concentrated force act on the 20m long bar shown below. 2 kN 400 N/m A B * 5m * 5m - 10m Draw a free-body diagram replacing the distributed force by a concentrated force. Calculate the three support reactions. (Result check: Ay = 3.5kN)
- Rope BCA passes through a pulley at point C and supports a crate at point A. Rope segment CD supports the pulley and is attached to an eye anchor embedded in a wall. Rope segment BC creates an angle of ¢ = 64.0 ° with the floor and rope segment CD creates an angle 0 with the horizontal. If both ropes BCA and CD can support a maximum tensile force Tmaz = 165 lb , what is the maximum weight Wmax of the crate that the system can support? What is the angle 0 required for D equilibrium? Express your answers numerically in pounds and degrees to three significant figures separated by a comma. • View Available Hint(s) vec ? Wmax, 0 = lb, degrees4 m 5m 4 m B 4 m 80 kN 60 kN find the forces in members (BC,BE and DE) ? T or C p 10:36The uniform 44 kN bar BC is supported by a pin at C and the aluminum wire AB. The cross-sectional area of the wire is 178.5 mm2. Assuming bar BC to be rigid, find the vertical displacement of B due to the weight of the bar. Use E = 71 GPa for aluminum. Anwer must be in mm.