Engineering Mechanics Part 10 Lami’s Theorem Derivation & 3 Solved Numerical #lamistheorem

📘 Engineering Mechanics Part 10 – Lami’s Theorem: Definition, Derivation & Numerical Problems In this lecture, Dr. Suryamani Behera explains Lami’s Theorem, its derivation, and three important numerical problems with step-by-step solutions for B.Tech and Diploma Civil Engineering students. 🎯 What you will learn in this video: ✅ 1. Definition of Lami’s Theorem Understand the theorem and the conditions under which it can be applied to a particle in equilibrium under three concurrent forces. ✅ 2. Derivation of Lami’s Theorem Learn how to derive the equation and understand the relationship between the three forces and the sine of the angles between the other two forces. ✅ 3. Numerical Problem 1 – Three Forces in Equilibrium Three forces keep a particle in equilibrium. One acts towards East, another towards North-West, and the third towards South. If the first force is 5 N, determine the other two forces. ✅ 4. Numerical Problem 2 – Smooth Sphere Against a Vertical Wall A smooth sphere of weight W is supported against a smooth vertical wall by a string whose length is equal to the radius of the sphere. Determine the tension in the string and the reaction from the wall. ✅ 5. Numerical Problem 3 – Weights Supported by an Inclined String A string ABCD hangs from fixed points A and D, carrying weights of 12 N at B and W at C. Given the inclinations of AB and CD and the horizontal segment BC, determine the value of W using equilibrium principles and Lami’s Theorem. 📚 Topics covered: Lami’s Theorem definition and statement Derivation of Lami’s Theorem Three-force equilibrium Tension in strings Reaction of a smooth vertical wall Engineering Mechanics numerical problems Step-by-step solutions for examination preparation 🎓 Who should watch? B.Tech Civil Engineering students, Diploma students, and learners preparing for Engineering Mechanics examinations. 💡 Study tip: Understand the angles between the forces carefully before applying Lami’s Theorem. Remember that each force is divided by the sine of the angle between the other two forces. 💬 Comment below: Which numerical problem did you find most challenging — Problem 1, 2, or 3? 👍 If this lecture helps you, please LIKE, SHARE it with your classmates, and SUBSCRIBE for more Engineering Mechanics lessons and Civil Engineering content. Dr. Suryamani Behera | PhD (Structural Engineering) SIPOL – Study in Peace, Online Learning #lamistheorem #engineeringmechanics #civilengineering