TP Solved Series Engineering Mechanics | Semester 1/2, KTU Syllabus

Module 1 Introduction to Engineering Mechanics-Statics-Basic Principles of Statics-Parallelogram Law, Equilibrium Law, Principles of Superposition and Transmissibility, Law of Action and Reaction(Review) Free Body Diagrams. Concurrent Coplanar Forces-Composition and Resolution of Forces-Resultant and Equilibrium Equations – Methods of Projections – Methods of Moments – Varignon’s Theorem of Moments. Module 2 Friction – Sliding Friction - Coulomb’s Laws of Friction – Analysis of Single Bodies –Wedges, Ladder Analysis of Connected Bodies. Parallel Coplanar Forces – Couple - Resultant of Parallel Forces – Centre of Parallel Forces – Equilibrium of Parallel Forces – Simple beam Subject to Concentrated Vertical Loads. General Coplanar Force System - Resultant and Equilibrium Equations. Module 3 Centroid of Composite Areas – Moment of Inertia-Parallel Axis and Perpendicular Axis Theorems. Polar moment of Inertia, Radius of Gyration, Mass Moment of Inertia-Ring, Cylinder and Disc. Theorem of Pappus Guldinus (demonstration only) Forces in space - Vectorial Representation of Forces, Moments and Couples –Resultant and Equilibrium Equations – Concurrent Forces in Space (simple problems only). Module 4 Dynamics – Rectilinear Translation - Equations of Kinematics (review) Kinetics – Equation of Motion – D’Alembert’s Principle. – Motion on Horizontal and Inclined Surfaces, Motion of Connected Bodies. Impulse Momentum Equation and Work Energy Equation (Concepts only). Curvilinear Translation - Equations of Kinematics – Projectile Motion(review), Kinetics – Equation of Motion. Moment of Momentum and Work Energy Equation (Concepts only). Module 5 Rotation – Kinematics of Rotation- Equation of Motion for a Rigid Body Rotating About a Fixed Axis – Rotation Under a Constant Moment. Plane Motion of Rigid Body – Instantaneous Centre of Rotation (Concept only). Simple Harmonic Motion – Free Vibration –Degree of Freedom- Undamped Free Vibration of Spring Mass System-Effect of Damping (Concept Only)