Statics: Force Vectors (vector operations, vector addition of forces, addition of a system of coplanar forces, Cartesian vectors, addition of Cartesian vectors, position vectors, force vector directed along a line, dot product); Force System Resultants (moment of a force, scalar and vector formulations, principle of moments, moment of a force about a specified axis, moment of a couple, simplification of a force and couple system); Equilibrium of a Rigid Body (equilibrium and free-body diagrams 2D/3D, equations of equilibrium (2D/3D), two- and three-force members); Dry Friction (theory of dry friction, equilibrium, impending motion, motion, characteristics of dry friction, problems involving dry friction).
Particle Dynamics: Kinematics (rectilinear kinematics: continuous motion, general curvilinear motion - rectangular components, motion of a projectile); Kinetics - Force and Acceleration (Newton's 2nd Law of Motion, equation of motion for a system of particles, equation of motion - rectangular coordinates), Work and Energy (work of a force, principle of work and energy for a system of particles, power and efficiency, conservative forces and potential energy, conservation of energy); Impulse and Momentum (principal of linear impulse and momentum, conservation of linear momentum, impact).
This topic is a fundamental topic upon which most of the later year engineering topics build. This topic aims to ensure that the students understand both basic laws as they apply to static and dynamic mechanical systems.
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