Determine the magnitude of the force P required to maintain the equilibrium of the two bar linkages. The mass and the length of each link are m and l, respectively. Hint: Use the principle of virtual work [20 marks] P G_{1} ^ * G_{2} mg θ mg
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Determine the magnitude of the force P required to maintain the equilibrium of the two bar linkages. The mass and the length of each link are m and l, respectively. Hint: Use the principle of virtual work
[20 marks]
P
G_{1} ^ *
G_{2}
mg
θ
mg
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- Find the stable equilibrium position of the system described in Prob. 10.56 if m = 2.06 kg.The bar ABC is supported by three identical, ideal springs. Note that the springs are always vertical because the collars to which they are attached are free to slide on the horizontal rail. Find the angle at equilibrium if W = kL. Neglect the weight of the bar.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 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.
- The figure shows a mechanical model of the Russel fracture traction device and the leg. The leg is held in balance in the position indicated by the two weights attached to the two cables. The total weight of the leg and the cast is W=200 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=10 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=40 ° . Accordingly, in order for the leg to remain in balance in the position shown; a) Find the tensile force T 1 in cable 1 . (Write your result in N ) b) Find the tensile force T 2 in cable 2 . (Write your result in N ) c) Find the angle α of cable 1 with the horizontalGiven the statically indeterminate system, determine the reactions (magnitude and direction) at A and E. (Esteel = 200 GPa; Eprass = 105 GPa) %3D Lengths are in millimeters 50 50 90 60 A DI E Steel B ● Brass 40 kN 30 kN d 3 20 тm d = 15 mmQuestion 2 Find the value of The reaction force at the support A. (X,XX,XXX represents the last digits number pf your IC) 4m 400 KN 10 m B 60 KN 4m 10 m. 157KN 4m 17 m D
- 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 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 inBased on the given cage system, where the bars can withstand a maximum tensile force of 5 kN and a maximum compressive force of 8 kN, we need to find the maximum force P that the system can support. A E x 1m x (Ctrl)- 2 m B G F P 2 m D Im 2 m 2 m
- 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 distance between the points A and B where the cables are attached to the leg is given as L=100 cm and the angle of the leg with the horizontal is given as γ=8°. 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=50°. 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.The frame is subjected to a horizontal force F = {25 j} kN. Apply the learned concepts of forces and equilibrium to compute the components of this force parallel and perpendicular to the member AB. B F= { 25 j } kN 4 m A 3 m 8 mGiven: Member OC rotates about the pin at point O when the force T' is applied. Spring AB is unstretched when OC is vertical. The spring constant for spring AB is k = 80 lb/in. Find: the magnitude of force T that is required to hold the position shown. 10 in 45° 5 in B k = 80 lb/in 5 in 30⁰