CE30-Lecture3

CE30-Lecture3 - Lecture 3 Statics of Particles and Statics...

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Unformatted text preview: Lecture 3 Statics of Particles and Statics of Rigid Bodies What is Engineering Mechanics? Engineering Mechanics is the science which describes and predicts the conditions of rest or motion of bodies under the action of forces . • Categories of Engineering Mechanics:- Rigid bodies- Statics- Dynamics- Deformable bodies (Mechanics of Materials)- Fluids • Mechanics is an applied science - it is not an abstract or pure science but does not have the empiricism found in other engineering sciences. • Mechanics is the foundation of most engineering sciences and is an indispensable prerequisite to their study. Fundamental Concepts • Space - associated with the notion of the position of a point P given in terms of three coordinates measured from a reference point or origin. • Time - definition of an event requires specification of the time and position at which it occurred. • Mass - used to characterize and compare bodies, e.g., response to earth’s gravitational attraction and resistance to changes in translational motion. • Force - represents the action of one body on another. A force is characterized by its point of application, magnitude, and direction, i.e., a force is a vector quantity. In Newtonian Mechanics, space, time, and mass are absolute concepts, independent of each other. Force, however, is not independent of the other three. The force acting on a body is related to the mass of the body and the variation of its velocity with time. Fundamental Principles • Parallelogram Law • Principle of Transmissibility • Newton’s First Law : If the resultant force on a particle is zero, the particle will remain at rest or continue to move in a straight line. • Newton’s Third Law : The forces of action and reaction between two particles have the same magnitude and line of action with opposite sense. • Newton’s Second Law : A particle will have an acceleration proportional to a nonzero resultant applied force. a m F r r = • Newton’s Law of Gravitation : Two particles are attracted with equal and opposite forces, 2 2 , R GM g mg W r Mm G F = = = 1. Review Statics of Particles To learn a new subject, Review the old theory first------Confucius • The objective for the section is to investigate the effects of forces on particles:- replacing multiple forces acting on a particle with a single equivalent or resultant force,- relations between forces acting on a particle that is in a state of equilibrium . • The focus on particles does not imply a restriction to miniscule bodies. Rather, the study is restricted to analyses in which the size and shape of the bodies is not significant so that all forces may be assumed to be applied at a single point....
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CE30-Lecture3 - Lecture 3 Statics of Particles and Statics...

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