1. The cord AB has a length of 5 m and is attached to the end B of the spring having a stiffness k = 10 N/m. The other end of the spring is attached to a roller C so that the spring remains horizontal as it stretches. If a 10 N weight is suspended from B, determine the necessary un-stretched length of the spring, so that = 40° for equilibrium. 5 m 5 m 5 m- www k = 10 N/m
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- Q4 / Determine the unstretched length (Lo) of spring Ac if a force P= 400 N causes the Ø=60° for equilibrium cord AB is 0.6m long . Take K=850 N/m. As shown in fig (4)? 0.6 m 0.6 m wwwDetermine the unstretched length of spring AC if a force P = 801b causes the angle 8 = 60 ° for equilibrium. Cord AB is 2 ft long. Take k = 50 lb / ft.Determine the unstretched length of spring AC if a force P = 100 Ib causes the angle 0= 52° for equilibrium. Cord AB is 2 ft long. Take k = 35 lb/ft. 2 ft 2 ft www
- The unstretched length of spring AB is 3 m. If the block is held in the equilibrium position as shown in Figure, determine the mass of the block at D. 3 m -3 m KAC= 20 N/m 4m B KAB= 30 N/m wwwThe ring at B is supported in equilibrium by spring AB, a cable running through the frictionless pulley at C, and cable BD. The pulley radius is 0.0150 m, and the unstretched length of spring AB is 0.21 m. If F₁ = 390 N and F₂ = 170 N at 0=38 degrees, determine the spring constant & and the force exerted on the ring by cable BD expressed in Cartesian components. F₁ a b k C d values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable value 0.300 m 0.0900 m 0.150 m 0.0600 m FBD= C Note the figure may not be to scale. D Submit Question N/m B i+ A www. F2 3) NThe ring at B is supported in equilibrium by spring AB, a cable running through the frictionless pulley at C, and cable BD. The pulley radius is 0.0267 m, and the unstretched length of spring AB is 0.24 m. If F1 = 340 N and F2 = 200 N at 0 = 50 degrees, determine the spring constant k and the force exerted on the ring by cable BD expressed in Cartesian components. F1 C В www d k A F2 D Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 0.400 m 0.160 m 0.267 m d. 0.107 m Note the figure may not be to scale. k = N/m F BD = ) N
- 2. Find the horizontal force P to start the motion of any part of the system of three blocks resting upon one another as shown. The weight of the blocks are W-300 KN, Ws= 100 KN and Wc =200 KN. Between A and B μ=0.30, between C and B, μ =0.20 and between C and the ground, p=0.10. 1 sni brod nog 02.0-4 B C 05.0-4 Solution: tamos quoy worla bre sosia asquar 005 300 en of jells400 N₁-300 F3 N-300- N₂=300 Assuming B and C will not move. F₁ = 300 (0.30) F₁ = 90 kN ne à bns A zelboß 1 P = 90 kN es ensla berb hebnu 02.0- y elin 05.0= q V in Celpris orllanimetsa MX 008 Assuming C will not move: al 1st F2=400 (0.20) = 80 kN OTE Bm ribirte F₂ vica Assuming the three blocks move: F3 = 0.10 (600) F3 = 60 kN P=60 KN Least force is 60 kN.Problem 3: If the springs shown each have an unstretched length of 48 inches, determine the angle for equlibrium with the 10- lb lamp fixture. 4 ft www. k = 5 lb/ft 4 ft 0 wwwww k = 5 lb/ft3. Determine the unstretched length of DB to hold the 40kg crate in the position shown. Take Spring constant, k = 180N/m? (1)
- 3-18. If the spring DB has an unstretched length of 2 m, determine the stiffness of the spring to hold the 40-kg crate in the position shown. 3-19. Determine the unstretched length of DB to hold the 40-kg crate in the position shown. Take k = 180 N/m. %3D -2 m- 3 m В 2 m www AProblem 3: µs = 0.60 between wedges B and C and us = 0.40 between the surfaces B & A and C & D. If the spring is compressed 200 mm in the position shown, find the smallest force P required to move the wedge. Neglect the weight of the wedges. A 15° B D k = 500 N/m 15° 15° C P1- Determine equilibrium the angle 9 for and investigate the stability of the mechanism in this position. The spring has a stiffness of k = 1.5 kN/m and is unstretched when 8 = 90°. The block A has a mass of 40 kg as shown in Fig.1. Neglect the mass of the links. quin 450 mm