APL100 : Engineering Mechanics
APL100 : Engineering Mechanics
Introduction & Kinematics: Moving point in different coordinate systems; Rigid bodies; Translation and Rotation; Relative motion for translating systems; Angular velocity; General motion of a rigid body; General relative motion
Axioms and Force Systems: Mass and centre of mass; Resultant force systems; centre of parallel forces; Work, power and kinetic energy; Euler’s Axioms; Equations of Equilibrium; Impulse and Angular Impulse; Impulse-momentum relations; Dry friction; Gravitational force; Free body diagrams; Conservative forces; workless forces; Belt friction, thrust bearing & clutch. Central force motion.
Dynamics of a Rigid body: Inertia tensor; Principal axes; Angular Impulse-momentum relations; general equations of motion of a rigid body; motion of a rigid body with a fixed axis; Euler’s equations; work-energy relation; Balancing of rotors; Plane motion with examples; Centre of percussion; Impact of rigid bodies.
Statics: Equations of equilibrium; static determinacy; frames, mechanisms and constraints; Friction and impending motion (rolling and tipping); Journal bearing; Bars, beams and trusses.
Variational Mechanics: Hamilton’s principle; Lagrange’s equations; principle of virtual work; potential energy & Stability.