Unit I Resolution and Composition of Forces Principle of statics, Force system, Resolution and composition of forces, Resultant of concurrent forces. Moment of a force, Varignon’s theorem, resultant of parallel force system, Couple, Equivalent force couple system, Resultant of parallel general force system. (Chapters - 1, 2 and 3) Unit II Distributed Forces and Friction Moment of area, Centroid of plane lamina and wire bends, Moment of Inertia. Friction- Laws of friction, application of friction on inclined planes Wedges and ladders friction Application to flat belt. (Chapters - 4, 5 and 6) Unit III Equilibrium Free body diagram Equilibrium of concurrent, parallel forces in a plane Equilibrium of general forces in a plane Equilibrium of three forces in a plane, Types of beams, simple and compound beams, Type of supports and reaction, Forces in space, Resultant of concurrent and parallel forces in a space, Equilibrium of concurrent and parallel forces in a space. (Chapters - 7, 8 and 9) Unit IV Analysis of Structures Two force member, Analysis of plane trusses by Method of joints Analysis of plane trusses by method of section, Analysis of plane frames, Cables subjected to point load multi force member. (Chapters - 10, 11 and 12) Unit V Kinematics of Particle Kinematics of linear motion- Basic concepts Equation of motion for constant acceleration Motion under gravity, Variable acceleration motion curves. Kinematics of curvilinear motion- Basic Concepts Equation of motion in Cartesian coordinates Equation of motion in path coordinates Equation of motion in polar coordinates Motion of projectile. (Chapters - 13 and 14) Unit VI Kinetics of Particle Kinetics- Newton’s Second Law of motion Application of Newton’s Second Law. Work, power, energy, conservative and non-conservative forces Conservation of energy for motion of particle, Impulse, Momentum, Direct central impact. Coefficient of restitution, Impulse Momentum principle of particle. (Chapters - 15, 16, 17 and 18)
