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.

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Problem statement:
Two cables are tied together at C and loaded as shown. Determine the tension in AC and BC.

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
Cable tension
Tension in members
Finding tension
Summing forces to be zero
Beer Johnston problem 2.34

Engineering statics
2D equilibrium problem 12
College level
Professor Engineer
Professor_Engineer