B.E. (Biomedical Engineering) Engineering Mechanics Syllabus - Mumbai University
This is the First Year Biomedical NEP 2020 syllabus under NEP 2020, in force from the academic year 2024-25. The University still sets the earlier Choice Based papers alongside it for ATKT candidates, so check which scheme your exam form names before you revise.
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Syllabus for Engineering Mechanics
Module 0: Prerequisite
- Resolution of a force. Use of trigonometry functions. Parallelogram law of forces. Law of triangle. Polygon law of forces, Lami’s theorem. Concepts of Vector Algebra. Uniformly accelerated motion along a straight line, motion under gravity, projectile motion, Time of flight, Horizontal range, Maximum height of a projectile. Law of conservation of Energy, Law of conservation of Momentum, and Collision of Elastic Bodies. WorkEnergy Principle (Note: There will be no questions from the prerequisite in the theory examination)
Module I: System of Forces
- Classification of force systems, Principle of transmissibility, composition and resolution of forces. Resultant of coplanar force system (Concurrent forces, parallel forces and general system of forces). Moment of force about a point, Couples, Varignon’s Theorem. Resultant of Non-Coplanar (Space Force): Concurrent force system
Module II: Centroid
- Centroids of plane laminas: Plane lamina consisting of primitive geometrical shapes.
Module III: Equilibrium of Force system and Friction
- 3.1 Equilibrium: Conditions of equilibrium for concurrent forces, parallel forces and general forces, Couples. Equilibrium of rigid bodies, free body diagrams.
- 3.2 Equilibrium of Beams: Types of beams, simple and compound beams, type of supports and reaction: Determination of reactions at supports for various types of loads on beams. (Excluding problems on internal hinges) 3.3 Friction: Laws of friction. Cone of friction. angle of repose, angle of friction, equilibrium of bodies on a horizontal and inclined plane.
Module IV: Kinematics of particle and rigid bodies
- 4.1 Motion of particle with variable acceleration. Motion along plane curved path. velocity and acceleration in terms of rectangular components, tangential and normal component of acceleration.
- 4.2 Introduction to general plane motion, problem based on Instantaneous center (ICR) method for general plane motion (up to 2 linkage mechanism and no relative velocity method)
Module V: Kinetics of particle
- 5.1 Force and Acceleration: -Introduction to basic concepts, D’Alembert’s Principle, concept of Inertia force, Equations of dynamic equilibrium.
- 5.2 Principle of linear impulse and momentum. Impact and collision: Law of conservation of momentum, Coefficient of Restitution. Direct Central Impact and Oblique Central Impact. Loss of Kinetic Energy in collision of inelastic bodies.
Module VI: Introduction to Robot Kinematics
- Fundamental of Robot Mechanics, Degree of Freedom, D-H Parameters, robot kinematics (Forward), Homogeneous transformation (limited to 2 DOF Serial robot)
Text Books
- 1 Engineering Mechanics by A K Tayal, Umesh Publication.
- 2 Engineering Mechanics by Kumar, Tata McGraw Hill
- 3 Engineering Mechanics by Beer &Johnston, Tata McGraw Hill
- 1 Engineering Mechanics by R. C. Hibbeler.
- 2 Engineering Mechanics by F. L. Singer, Harper& Raw Publication
- 3 Engineering Mechanics by Macklin & Nelson, Tata McGraw Hill
- 4 Engineering Mechanics by Shaum Series
- 5 Engineering Mechanics (Statics) by Meriam and Kraige, Wiley Bools 31
- 6 Engineering Mechanics (Dynamics) by Meriam and Kraige, Wiley Bools
- 7 Introduction to Industrial Robotics by Ramchandran Nagrajan, Pearson publication
Reproduced from the University of Mumbai syllabus for B.E. (Biomedical Engineering) under NEP 2020, in force from the academic year 2024-25. Wording is as printed in that syllabus. Module numbering is as printed there too.
The complete syllabus
This subject is cut from the University circular for its year. Open a document here if you want the whole thing rather than a single subject.