Two identical rollers, each of weights W=1000N, are supported by an inclined plane and a vertical wall as shown in figure. Find the reactions at point of supports A, B and C. Assume all surfaces to be smooth. 1000 N 1000 N A B. 30°
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- A 150-lb rigid bar AB. with friction less rollers al each end. is held in the position shown in the figure by a continuous cable CAD. The cable is pinned at C and D and runs over a pulley at A. (a) Find reactions at supports A and B. (b) Find the force in the cable.A plane frame with a pin support at A and roller supports at C and £ has a cable attached at E. which runs over Frictionless pulleys al D and B (see figure). The cable force is known to be 400 N. There is a pin connection just Lo the left of joint C. (a) Find reactions at supports^, C, and E. (b) Find internal stress, resultants N, V, and M just to the right of joint C. (c) Find resultant force in the pin near C.A cylindrical brick chimney of height H weighs w = 825 lb/ft of height (see figure). The inner and outer diameters are d1= 3 ft and d2= 4 ft, respectively. The wind pressure against the side of the chimney is p = 10 lb/ft2 of projected area. Determine the maximum height H if there is to be no tension in the brickwork.
- A soccer goal is subjected to gravity loads (in the - z direction, w = 73 N/m for DG, BG, and BC; w = 29 N/m for all other members; see figure) and a force F = 200 N applied eccentrically at the mid-height of member DG. Find reactions at sup ports C, D, and H.Solve the preceding problem for the following data: b = 8.0 in., k = 16 lb/in., a = 45°, and P = 10 lb.Two separate cables AC and BC support a sign structure of weight W = 1575 lb attached to a building. The sign is also supported by a pin support at O and a lateral restraint in the '-direction at D. (a) Find the tension in each cable. Neglect the mass of the cables. (b) Find the average stress in each cable if the area of each cable is Ae= 0.471 in2.
- By what distance h does the cage shown in the figure move downward when the weight W is placed inside it? (See the figure.) Consider only the effects of the stretching of the cable, which has axial rigidity EA = 10,700 kN. The pulley at A has a diameter da= 300 mm and the pulley at B has a diameter dB= 150 mm. Also, the distance L1= 4.6 m, the distance L2=10.5 m, and the weight W = 22 kN. Note: When calculating the length of the cable. include the parts of the cable that go around the pulley sat A and B.Consider 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. Note: the x-axis is horizontal and the y-axis is vertical and both have their origin at point D. Data: P = 332N Which option is right? a) 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 or b) 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 positionConsider 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?
- Consider 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. Note: the x-axis is horizontal and the y-axis is vertical and both have their origin at point D. Data: P = 332N The next affirmative is true or false? If the plate had a weight of 332N (applied vertically downwards in the center of the plate), the module of F should be greater than 369.18N, so that it would still remain balanced in that position.A12-ft wooden beam weighing 80 lb is supported by a pin and bracket at A and by cable BC. Find the reaction at A and the tension in the cable. 6 ft A ft 6 ft 80 Ib Match each item to a choice: Ax Tension on Cable Ay Choices:Draw F.B.D then find reactions at supports A and B take AB weight 25K9 4m 30° 50