Statics and Dynamics
Cheatsheet Content
25ME2100 - STATICS AND DYNAMICS - 3104 ### Course Objectives - To introduce the fundamentals of force systems, moments, and equilibrium conditions in statics. - To illustrate the behaviour of trusses, beams, and frames under various loading conditions. - To apply the laws of friction and determine the centroid and moment of inertia using appropriate methods. - To explain the motion of particles under various kinematic conditions, including uniform, accelerated and projectile motions. - To analyze the Newton's Second Law of Motion; principles of work and energy for the dynamics of moving bodies. ### Statics - **Forces and their types**: Resolution of forces - Resultant and Equilibrium of bodies due to coplanar and non-coplanar concurrent forces - Moment of forces - Equivalent system of forces and moments - Varignon's theorem - Principle of Transmissibility ### Equilibrium of Rigid Bodies - **Free body diagrams** - Equations of Equilibrium - Classifications of structures - Types of supports - **Beams**: Types of Beams, Types of loads - Determination of support reactions - Forces of simple plane trusses - Method of joints - Method of sections - Forces in Frames and Cables ### Friction and Properties of Surfaces - **Laws of friction**-coefficient of friction-problems involving dry friction - wedge & ladder friction - Center of gravity of centroids by integration method - Center of gravity and Moment of inertia. ### Kinematics - **Kinematics**: Types of motion - Motions with uniform velocity, uniform acceleration, acceleration with gravity - Projectiles. ### Kinetics - **Kinetics**: Applications of Newton's second law of motion - D'Alembert's principle, Work and Energy method - Motion of connected bodies-Impulse and momentum-Impact of elastic bodies. ### Total Notional Hours | L | T | P | TW+SL | C | |---|---|---|-------|---| | 45 | 15 | 0 | 60 | 4 | ### Text Books 1. Beer F. Pand Johnson Jr. E.R., "Vector Mechanics for Engineers: Statics and Dynamics", Vol. 1 Statics and Vol. 2 Dynamics, McGraw Hill International Edition, 2017. 2. Kottiswaran N., "Engineering Mechanics", Balaji Publication (P)Ltd, 2018. ### Reference Books 1. Bansal R.K., "Engineering Mechanics", Laxmi Publications(P)Ltd, 2018. 2. J.L. Meriam, L.G. Karige, J.N. Bolton, "Engineering Mechanics: Statics (Volume I) and Engineering Mechanics: Dynamics (Volume II)", Wiley student edition, 8th edition 2017. 3. Rajasekaran S and Sankarasubramanian G., "Fundamentals of Engineering Mechanics", Vikas Publishing House Pvt.Ltd., 2013.
