How to Find Resultant Force for the 3 Cables Forces – Statics Components and Resultants Problem 14

In this video, we find resultant force for all the forces shown. This problem is solved by combing the two component vectors to form a single final resultant force by using the Rectangular Method. SUBSCRIBE to my channel for similar videos and problem walkthroughs. Also, by SUBSCRIBING, you help this video reach others just like you. Make sure to leave a LIKE if this video was helpful. Please check out videos on the channel, as we cover many different topics. Problem statement: Two cables of known tensions are attached to the top of pylon AB. A third cable AC is used as a guy wire. Determine the tension in AC, knowing that the resultant of the forces exerted at A by the three cables must be vertical. Problem walkthrough steps: -Draw a free body diagram Look at each applied component force separately Find or determine the x and y directional component forces for each starting component force Sum all the x directional component forces together. Then sum all the y directional component forces together -Use the Pythagorean Theorem to find the resultant force and vector value of the original starting component forces -Use the directions of the summation of X forces and the summation of Y forces to determine the directional arrow for the resultant force -With a right triangle formed, use the tangent (tan) inverse function to find the angle of the resultant off of the x-axis. Topics of this problem include: Free Body Diagram Solve a statics components and resultants problem via the Rectangular Method. Resultant from 2 component forces Resultant from 2 component 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 resultant angles Find tension in cables Beer Johnston problem 2.28 Engineering statics Components and resultants - Rectangular College level 2D components and resultants problem 14 Professor Engineer Professor_Engineer