Determine the resultant horizontal force of repulsion

Question

Assignment:

Problems:

1. The members of a truss are pin connected at joint 0. Determine the magnitudes of F₁ and F₂ for equilibrium. Set B = 60°.

2. The members of a truss arc pin connected at joint 0. Determine the magnitude of F₁ and its angle B for equilibrium. Set F₂ = 6 kN.

3. The lift sling is used to hoist a container having a mass of 500 kg. Determine the force in each of the cables AB and AC as a function of O. If the maximum tension allowed in each cable is 5 kN, detcrmine the shortest lengths of cables AB and AC that can be used for the lift. The center of gravity of the container is located at G.

4. Cords AB and AC can each sustain a maximum tension of 800 lb. If the drum has a weight of 900 lb. Determine the smallest angle B at which they can be attached to the drum.

5. The members of a truss are connected to the gusset plate. If the forces are concurrent at point 0, determine the magnitudes of F and T for equilibrium. Take θ = 30°.

6. The gusset plate is subjected to the forces of four members. Determine the force in member B and its proper orientation θ for equilibrium. The forces are concurrent at point O. Take F = 12 kN.

7. The device shown is used to straighten the frames of wrecked autos. Determine the tension of each segment of the chain, i.e., AR and BC, if the force which the hydraulic cylinder DB exerts on point B is 3.50 kN, as shown.

8. Two electrically charged pith balls, each having a mass of 0.2 g, are suspended from light threads of equal length. Determine the resultant horizontal force of repulsion, F, acting on each ball if the measured distance between them is r = 200 mm.

9. Determine the maximum weight of the flowerpot that can be supported without exceeding a cable tension of 50 lb in either cable AB or AC.

10. Determine the tension developed in wires CA and CB required for equilibrium of the 10-kg cylinder. Take θ= 40°.

11. If cable CB is subjected to a tension that is twice that of cable CA, determine the angle θ for equilibrium of the 10-kg cylinder. Also, what are the tensions in wires CA and CB?

12. The concrete pipe elbow has a weight of 400 lb and the center of gravity is located at point G. Determine the force F_AB and the tension in cables BC and BD needed to support it.