2.111 Equilibrio de una partícula en 3d estática, ejercicio resuelto paso a paso
In this video, I solve the problem step by step: "A rectangular plate is supported by three cables. If the tension in cable AC is 60 N, determine the weight of the plate." You will see how to set up the free-body diagram, choose axes and moments to eliminate unknowns, and apply static equilibrium in 3D/2D according to the geometry of the system: What you will learn How to read the geometry and locate points A, B, and C on the plate. Clear and error-free free-body diagram (FBD). Using ΣF = 0 and ΣM = 0 for systems with three cables. Tricks for choosing moment points that simplify the equations. Calculating the weight W from the tension T_AC = 60 N. Review of units (N, m) and signs to avoid common errors. Methodology DCL: Cable forces (T_AB, T_AC=60 N, T_AD) and W at the center of gravity. ΣF to verify consistency and, if applicable, obtain remaining tensions. Final check (directions, magnitudes, and physical consistency). Suggested Chapters 00:00 Statement and Approach 01:38 Free-Body Diagram (FBD) 03:09 Force Components AB 04:50 Force Components AC 06:05 Force Components AD 07:52 Vector Forces 08:41 ΣF=0 by grouping forces 10:22 Solution to the system of equations using the substitution method 13:40 Result: Weight of the plate Keywords (SEO) 3-cable statics, plate with cables, tension in cables, T_AC 60 N, force equilibrium, summation of moments, free-body diagram, solved statics exercises, vector mechanics, Hibbeler, concurrent forces, solved problem, weight calculation, mechanical engineering, civil engineering. Book: Vector Mechanics for Engineers - Statics, 9th Edition - Ferdinand P. Beer, E. Russell Johnston, Jr., Elliot R. Eisenberg 👍 If this example helped you, like it, subscribe, and activate the bell. ✍️ Do you want me to solve a problem with specific measurements of your figure? Leave it in the comments! #Statics #Engineering #MechanicsOfMaterials #Equilibrium #FreeBodyDiagram #Forces #Moments #WorkExercises
