Statics Chapters 1 & 2 CH 1 What is Mechanics? It is the science which deals with the physical state of rest or motion of bodies under the action of the forces. It can be further divided in two main branches. Statics: deals with the study of bodies at rest, Dynamics: deals with the study of bodies in motion CH 1 Fundamental Concepts and Principles Space: To fix the position of a point Time : To relate the sequence of events Mass : To distinguish behavior of the two bodies under the action of an identical force. Force : It is an essential agency which changes or tend to change the state of rest or uniform motion of body. Principles: Newton's Three Laws of motion Newton's Law of Gravitation The parallelogram Law for Addition of forces The principle of transmissibility of forces. CH 1 System of Units centimeter-gram-second system( C.G.S.) foot-pound-second system (F.P.S.) metre-kilogram-second system(M.K.S.) International system of units(SI units) This is the modern version of metric system. It consists of 7 base units, 2 supplimenary units and number of derived units. This is absolute system of units so they are independent of the location where measurements are made. CH 2 Statics and Particles Forces in a plane: A force represents the action of one body on another and is generally characterized by its point of application, its magnitude, and its direction. Vectors: It appears from the above that forces do not obey the rules of addition defined in ordinary arithmetic or algebra. Vectors are defined as mathematical expressions possessing magnitude and direction, which add according to the parallelogram law. Vectors are represented by arrows CH 2 Forces in a Plane Addition of Vectors Resultant of Several Concurrent Forces Resolution of a Force into Components Rectangular Components of a Force. Unit Vectors Addition of Forces by Summing x and y Components Equilibrium of a Particle Newton’s First Law of Motion Problems Involving the Equilibrium of a Particle. Free-Body Diagrams CH 2 Forces in Space Rectangular Components of a Force in Space Force Defined by Its Magnitude and Two Points on Its Line of Action Addition of Concurrent Forces in Space Equilibrium of a Particle in Space