The uniform bar AB shown in Fig. weighs 100 Ib. If the spring has an unstretched length of 5 ft, de- termine the spring constant é required for equilibrium at the position indicated in the figure. 8 ft -WWWB 6 ft
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A: Answer: Option (C): T = 7646 N, FBx = 3823 N , FBy = 4169 N
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Q: Q1/ In the equilibrium position shown in figure below, the uniform bar (AB) has a mass of (50 kg)…
A: Answer: ◆ T = 7646 N , FBx = 3823 N , FBy = 4169 N. ◆ Therefore, option (C) is correct.
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- The figure shows a three-pin arch. Determine the horizontal component of the pin reaction at A caused by the applied force P.Determine the force in the cable OC and the elongation of the spring OA, OB necessary to support a box of mass (M) 400 kg as shown in the figure below. If a = 4 m, b = 5 m, c = 3 m, k1= 5000 N/mm and k2= 4000 N/mm. All calculation using equilibrium of particles equation and must be in Newton (N) and with FBDThe system in the Figure is in equilibrium. A mass M1 = 246.0 kg hangs from the end of a uniform strut which is held at an angle theta = 40.0o with respect to the horizontal. The cable supporting the strut is at angle alpha = 24.4o with respect to the horizontal. The strut has a mass of 58.2 kg. Find the magnitude of the tension T in the cable. Find the magnitude of the horizontal component of the force exerted on the strut by the hinge? Find the magnitude of the vertical component of the force exerted on the strut by the hinge?
- 4 P=20 ton W= 20 tons 10'- To prevent the traveling crane as shown in the fig. from tipping to the right when carrying a load P, a counterweight Q is used. Determine value and position of Q so that the crane will remain in equilibrium both when the maximum load P is applied and when the load P is removed. *The spring in Fig. is unstretched when e = 6 = 15°. Find the angle 6 for equilibrium if mg = 60 kg, mp = 25 kg, L=1 m, and & - 750 N/m. Assume that the masses of the bars are negligible. D mpA rear suspension system for a front wheel-drive vehicle is shown here. Spring EF is offset behind member CD. The normal force due to contact between the wheel and the road is 4200 N. Assume the weight of the wheel and suspension system components is negligible. Determine the magnitude of the member CD. Is the member in tension or compression? Determine the support reactions at A. Determine the unstretched length of the spring EF given a spring constant of 150 kN/m.
- The linkage shown is used in a vehicle suspension system. Find the forces indicated below when a static force of F = 1000 lb is applied to the tire at point C at an angle of 0 = 17° as shown. Assume the connection of the wheel to member AB is rigid. 1 h₁ K: LOFF 0 W₁ h₂ h3 h4 h5 B W₁₂ AXHIMAL W4 hs: h₂ cc i❀O BY NC SA 2013 Michael Swanbom W3 - W₁ Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value Variable Value h₁ 6.6 in W1 7.5 in 16.6 in W2 4.6 in 14.6 in W3 8.3 in 10.2 in W4 6.2 in 5.2 in W5 9.7 inThe uniform bar AB shown in Fig has a mass of 20 kg and a length of 2 m. If the spring is un- stretched at an angle e = 30°, determine the spring constant 4 for equilibrium at an angle 0- 60°.The mechanism shown in the figure, supports a 50 lb cylinder. Determine the angle ?for equilibrium if the spring has an unstretched length of 2 ft when ? = 0°. Neglect the mass of the members.
- EQUILIBRIUM PROBLEM 1 There are five cylinders inside a container as shown in the figure. Determine the normal forces at Point A and B. Figure 9: Cylinders F R = 2.5 m B 50 KN 100 KN R = 5 m H E 500 KN R = 7.5 m A 100 KN R = 5m G 500 KN R = 7.5 m -18 m- J DPROBLEM #1: A vertical force P = 20 lb is applied to the ends of the 2-ft cord AB and spring AC. If the spring has an unstretched length of 2 ft. Take k = 25 lb/ft. (see picture for illustration). Determine the: (a) forces (b) angle theta for equilibrium Note: Kindly show the complete step-by-step solution. Please make sure that your handwriting is understandable and the picture of the solution is clear. I will rate you with “like/upvote” after. I need the answer right away, thank you. Topics Discussed: Static of Rigid Bodies, Equilibrium of a Particle, Position Vector, Force Vector Direction, etc.The 428-kg uniform beam is subjected to the three external loads shown. Compute the vertical reaction (N) at the support point O if P = 4202 N, Q = 3387 N, T = 40694 Nm, x = 1.14 m, y = 1.53 m, and z = 1.46 m and the system is in equilibrium.Positive values are to the right, up, and counterclockwise. Round off only on the final answer expressed in 3 decimal places.