
Explore the theory of machines, relative motion, and the forces behind it; compare kinematics, kinetics, and dynamics with practical examples like the piston–cylinder arrangement and basic simple machines.
Inversion of mechanism fixes different links in a four-bar kinematic chain to produce four distinct mechanisms, inversions, with outputs relative to the input.
Learn to compute the velocity of a point on a link using instantaneous center method, comparing it with the relative velocity method and applying velocity relationships on a rigid link.
Explain Arenhold Kennedy theorem: three instantaneous centers of moving bodies lie on a straight line, with centers ipk and ipr, and third center on the same line for four-bar linkages.
Explain relative velocity of bodies p and q moving in parallel lines with vp > vq, using vp q = vp − vq and vq p = vq − vp.
Apply the relative velocity method to a four-bar chain, using a space and velocity diagram to compute the angular velocity of link rs when s is at 50 degrees.
Explore the relative velocity method for a steam engine crank-slider mechanism, calculating piston velocity, connecting-rod angular velocity, point velocities, and rubbing velocities using velocity and space diagrams.
Apply velocity and acceleration diagrams to solve a slider-crank mechanism problem, determining the midpoint velocity and the connecting rod's angular velocity and acceleration at a crank angle of 60 degrees.
This comprehensive course on Kinematics of Machines: From Basics to Motion Analysis is designed to provide a thorough understanding of the fundamental principles of machine kinematics. The course emphasizes the study of motion in mechanisms without considering the forces or energy that cause it, making it an essential foundation for the broader subject of Theory of Machines
The course begins with the fundamentals of machines and mechanisms, where you will learn about the introduction to Theory of Machines, Kinematics, Kinetics, Dynamics along with Machines, Simple Machines in detail. Further, course explore Kinematic links, pairs, chains, and the degree of freedom of mechanisms. You will understand how to classify different mechanisms and study their mobility using criteria such as Gruebler’s equation. The concepts of degrees of freedom (DOF) and types of joints are explained in detail to build a solid understanding of motion possibilities in planar mechanisms. These basics are essential to visualize and model the movement of machine elements in engineering systems.
You will then move into inversions of mechanisms, including the four-bar chain, single slider-crank, and double slider-crank mechanisms, which are widely used in engineering applications. Real-world examples and illustrations help connect theory with practice.
A major focus of the course is motion analysis. Students will learn methods for determining velocity and acceleration in mechanisms, including instantaneous centre methods, Aronhold–Kennedy’s theorem, rubbing velocity at pin joints, as well as velocity and acceleration diagrams. These tools are essential for analyzing and evaluating machine performance
To ensure strong problem-solving skills, the course includes step-by-step solved numerical examples on velocity, acceleration, and instantaneous centres. This bridges theory with practical application, preparing you for both exams and engineering practice. To strengthen practical and technical understanding, the course also includes interactive role-play exercises.
By the end of this course, you will be able to:
Identify and classify mechanisms and their inversions
Analyze velocity and acceleration in kinematic systems
Solve numerical problems with confidence
Apply concepts to real-world engineering design problems