Engineering Mechanics

This course covers the fundamental principles of Newtonian dynamics, focusing on the motion of particles, systems of particles, and rigid bodies. It explores concepts like simple mechanisms, as well as the principles of impulse, momentum, angular momentum, work, and energy. It has two-dimensional (planar) kinematics, including motion relative to a moving reference frame. The course will also delve into the setup and solution of differential equations of motion, both analytically and numerically. Time permitting, students will be introduced to three-dimensional rigid-body dynamics.

In this course tailored for Robotics and Autonomous Systems, students will explore the fundamental principles of Engineering Mechanics with a focus on relevant applications. The course will delve into Newtonian dynamics, analyzing the motion of particles, systems of particles, and rigid bodies. Students will study simple mechanism which are crucial components in dynamical systems. They will also learn about impulse, momentum, angular momentum, work, and energy. Two-dimensional kinematics, including motion relative to moving reference frames, will be explored, as this is fundamental to planning and navigation. Additionally, students will develop proficiency in setting up and solving differential equations of motion which is critical for programming and controlling. Three-dimensional rigid-body dynamics is also planned to be introduced. Throughout the course, emphasis will be placed on practical applications to equip students with the skills and knowledge to analyze and predict the motion and behavior of various dynamical systems.

By the end of this course, each student will:

1. Acquire proficiency in the fundamental principles of statics and dynamics for engineering applications.
2. Analyse equilibrium and motion of particles and rigid bodies under different loading and force scenarios.
3. Set up the governing differential equations of engineering problems using fundamental laws, and conservation principles and solve them.
4. Develop practical problem-solving skills for engineering challenges in different coordinate systems and applications.

After completing this course, successful students will be able to:

1. Isolate individual elements of the system of bodies and draw free-body diagrams.
2. Describe motion of an object in space and time employing Cartesian, polar, and path coordinates, in inertial or rotating frame of reference.
3. Apply laws of physics and conservation principles to the motion of bodies to find governing equations and conserved quantities.
4. Solve equations of motion numerically, and analytically in simple cases, and graphically show the resulting motion.
5. Understand time evolution of parameters, viz. displacement, velocity, and acceleration, and use them to characterize the kinematics of simple mechanisms and dynamical systems.

• Introduction to Mechanics for Engineers by Ruina and Pratap

Free pdf: http://ruina.tam.cornell.edu/Book/RuinaPratap-July-12-2019.pdf

• Engineering Mechanics: Statics and Dynamics by R C Hibbeler
• Engineering Mechanics: Statics and Dynamics by Irving H. Shames.
• Engineering Mechanics: Statics (Vol.1) and Dynamics (Vol.2) by J. L. Meriam and L. G. Kraige.