Explore Exams
Login Signup
Sign in Open App
Mechanical Engineering Exam  >  Mechanical Engineering Notes  >  Engineering Mechanics  >  Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System)

Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System)

Types of Forces

Forces that act on a body can be divided into two general categories-

  • Applied forces (action)
  • Reactive forces (or, simply reactions)

Reaction

Reaction is the opposing force that a support offers whenever it is acted upon by external or inherent forces.

Free Body Diagram

Free body diagram is a diagram in which a rigid body is isolated from the system and all active forces applied to the body and reactive forces as a result of mechanical contact are represented.

Examples

Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System)

Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System)

Steps for Drawing Free Body Diagram
1. A sketch of the body is drawn assuming that all supports (surfaces of contact, supporting cables, etc.) have been removed.
2. All applied forces (including weight) and support reactions are drawn and labeled on the sketch.
3. Apply the weight of the body to its center of gravity (if it is uniform, then apply it to the centroid). If the sense of a reaction is unknown, it should be assumed

 

A. EQUILBRIUM OF RIGID BODIES

A rigid body is said to be in equilibrium if the resultant of all external and reactive forces and moments acting on it is zero.

Lami's Theorem

If three coplanar concurrent forces acting on a body keep it in equilibrium, then each force is proportional to the sine of the angle between the other two"

Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System)

Note: Lami's theorem is applicable only to 3 coplanar concurrent forces in equilibrium

Proof

By applying polygon law of forces, draw triangle OAB representing the system of forces shown with external angles as indicated

Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System)Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System)

Applying Sine Law

Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System)


General Equations of Equilibrium

1. The algebraic sum of all forces in a force system is zero.

Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System)

2. The algebraic sum of all moments in a force system is zero.

Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System)


Equations of Equilibrium For Coplanar Systems

Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System)

Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System)

 

Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System)

Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System)

 

Solving Equilibrium Problems

1. Draw proper Free- Body Diagram
2. Resolve all the forces into x and y components
3. Apply Equilibrium conditions along the x and y directions
4. Solve the resultant algebraic equations
In case of moments, try to select the point you take moments around such that the line of action of at least one unknown force passes through that point. This will eliminate one unknown from your moment equation and will result in simpler equations to work with.

The document Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System) is a part of the Mechanical Engineering Course Engineering Mechanics for Mechanical Engineering.
All you need of Mechanical Engineering at this link: Mechanical Engineering
Join Course for Free

FAQs on Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System)

1. What is the concept of equilibrium in rigid bodies?
Ans. Equilibrium in rigid bodies refers to a state where the body is at rest or moving with constant velocity, without any net force or torque acting on it. It implies that the forces and moments acting on the body are balanced, resulting in no acceleration or rotation.
2. What are coplanar concurrent systems of forces?
Ans. Coplanar concurrent systems of forces are a set of forces that lie in the same plane and act on a common point of application. These forces have lines of action that intersect at a single point, known as the point of concurrency.
3. How do you determine the equilibrium of coplanar concurrent systems?
Ans. To determine the equilibrium of coplanar concurrent systems, you need to ensure that both the forces and the moments acting on the body are balanced. This can be achieved by analyzing the vector sum of the forces and the algebraic sum of the moments about a chosen point.
4. What is the significance of resolving forces in equilibrium analysis?
Ans. Resolving forces in equilibrium analysis involves breaking down forces into their components along different axes. This is significant as it allows us to separate forces into their horizontal and vertical components, simplifying the analysis and facilitating the determination of equilibrium conditions.
5. Can a coplanar concurrent system of forces have a non-zero net moment and still be in equilibrium?
Ans. No, a coplanar concurrent system of forces cannot have a non-zero net moment and still be in equilibrium. For a system to be in equilibrium, both the forces and the moments acting on the body must be balanced. A non-zero net moment indicates an unbalanced torque, resulting in rotational motion rather than equilibrium.
About this Document
4.98/5 Rating
Apr 21, 2026 Last updated
Related Exams
Document Description: Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System) for Mechanical Engineering 2026 is part of Engineering Mechanics for Mechanical Engineering preparation. The notes and questions for Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System) have been prepared according to the Mechanical Engineering exam syllabus. Information about Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System) covers topics like and Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System) Example, for Mechanical Engineering 2026 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System).
Introduction of Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System) in English is available as part of our Engineering Mechanics for Mechanical Engineering for Mechanical Engineering & Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System) in Hindi for Engineering Mechanics for Mechanical Engineering course. Download more important topics related with notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free. Mechanical Engineering: Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System)
Description
Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System) of Engineering Mechanics - covers all the important topics from the book, explained in easy language for better understanding. Free PDF available for download.
Information about Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System)
In this doc you can find the meaning of Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System) defined & explained in the simplest way possible. Besides explaining types of Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System) theory, EduRev gives you an ample number of questions to practice Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System) tests, examples and also practice Mechanical Engineering tests
Explore Courses for Mechanical Engineering exam
Get EduRev Notes directly in your Google search
Related Searches
Extra Questions, Viva Questions, Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System), study material, video lectures, MCQs, practice quizzes, Exam, Important questions, Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System), Previous Year Questions with Solutions, Objective type Questions, ppt, Summary, Semester Notes, Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System), shortcuts and tricks, Free, pdf , past year papers, mock tests for examination, Sample Paper;
Additional Information about Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System) for Mechanical Engineering Preparation

Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System) Free PDF Download

The Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System) is an invaluable resource that delves deep into the core of the Mechanical Engineering exam. These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective. With the help of these notes, you can grasp complex subjects quickly, revise important points easily, and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner, allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material, or toppers' notes, this PDF has got you covered. Download the Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System) now and kickstart your journey towards success in the Mechanical Engineering exam.

Importance of Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System)

The importance of Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System) cannot be overstated, especially for Mechanical Engineering aspirants. This document holds the key to success in the Mechanical Engineering exam. It offers a detailed understanding of the concept, providing invaluable insights into the topic. By knowing the concepts well in advance, students can plan their preparation effectively. Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.

Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System) Notes

Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System) Notes offer in-depth insights into the specific topic to help you master it with ease. This comprehensive document covers all aspects related to Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System). It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation. Practice papers and question papers enable you to assess your progress effectively. Additionally, the paper analysis provides valuable tips for tackling the exam strategically. Access to Toppers' notes gives you an edge in understanding complex concepts. Whether you're a beginner or aiming for advanced proficiency, Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System) Notes on EduRev are your ultimate resource for success.

Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System) Mechanical Engineering Questions

The "Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System) Mechanical Engineering Questions" guide is a valuable resource for all aspiring students preparing for the Mechanical Engineering exam. It focuses on providing a wide range of practice questions to help students gauge their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation. The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level. Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.

Study Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System) on the App

Students of Mechanical Engineering can study Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System) alongwith tests & analysis from the EduRev app, which will help them while preparing for their exam. Apart from the Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System), students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc. The EduRev App will make your learning easier as you can access it from anywhere you want. The content of Summary: Equilibrium of Rigid Bodies (Coplanar Concurrent System) is prepared as per the latest Mechanical Engineering syllabus.
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup