Problem 3: Four-Force Equilibrium Knowing the forces in members A and C, determine the force of B and D, assuming the system is in equilibrium. A structural joint is held in equilibrium by four forces acting along different members. • Member A applies a force of 4 kN at an angle of 60° above the positive x-axis. • Member C applies a force of 2 kN horizontally to the left along the x-axis. • Member B applies an unknown force along the horizontal direction. • Member D applies an unknown force at an angle of 45° above the negative x-axis. Determine the forces in members B and D, assuming the system is in static equilibrium. 4 kN 2 kN C 45° A D 60° FB B

Problem 18: Determine the force in each member of the truss. State if the members are in tension or compression. 3 ft 3 ft 3 ft B D 4 ft 4 ft. 130 lb E

Problem 16: Determine the force in each of the member of the truss and state if the members are in tension or compression. Set P₁ = 10 kN, P2 = 8 kN. 2 m G F E A A 1 m B 2 m 1 m P1 D

Problem 7: Determine the force in each cord for equilibrium of the 60-kg bucket. D E 4 m 4 m B 3 m- 3 m- 3 m.

Problem 15: Determine the reactions at the pin A and the tension in cord BC. Set F = 40 kN. Neglect the thickness of the beam. 26 kN F 13 12 -2 m 4 m B 4

Problem 21: Determine the force in members EF, CF, and BC and state if the members are in tension or compression. 1.5 m 4 kN E D 8 kN B 2 m 2 m

Problem 8: If the cords suspend the two buckets in the equilibrium position, determine the weight of bucket B. Bucket A has a weight of 60 lb. E 65° C 20° 40° F B 20° A

Problem 4: Four Force Equilibrium The members of a truss are connected at joint O. Determine the magnitudes of F₁ and F2 for equilibrium, assuming 0 = 60°. 5 kN 7 kN 70° 30°

Problem 17: Determine the force in each member of the truss and state if the members are in tension or compression. Set P₁ = 9 kN, P2 = 15 kN. P₁ 3 m B P2 3m- D 4 m