How to Find the Cable Tension Forces – Static Equilibrium – Equilibrium Problem 2

SUBSCRIBE to my channel for similar videos and problem walkthroughs. Make sure to leave a LIKE if this video was helpful. Please check out videos on the channel, as we cover many different topics. In this video, we find the tension in the cables shown due to the applied force on the system. This problem is solved using static equilibrium and the property that all forces, internal and external, must cancel and counteract each other so all forces sum to be zero. Problem statement: In a ship-unloading operation, a 3500 lb automobile is supported by a cable. A rope is tied to the cable at A and pulled in order to center the automobile over its intended position. The angle between the cable and the vertical is 2 degree, while the angle between the rope and the horizontal is 30 degree. What is the tension in the rope? Problem walkthrough steps: Draw a free body diagram Look at each force separately, known and unknown Find or determine the x and y directional forces for each of the known and unknown forces in variable form Sum all the x directional forces together. Then sum all the y directional forces together Solve for the unknown forces. Can use multiple processes to solve for 2 equations 2 unknowns (if this happens) Check answers Topics of this problem include: Free Body Diagram (FBD) Solve a statics equilibrium problem with multiple unknowns Determining equilibrium 2 unknown forces 2 unknown vectors X and Y Components Summation of forces in the x and y directions Vector Addition Force combination Vector combination Vector Mechanics Forces in right triangles Orthogonal vectors Determining tension forces Summing forces to be zero Beer Johnston sample problem 2.4 Engineering statics 2D equilibrium problem 2 College level Professor Engineer Professor_Engineer