Theory of Machines: Kinematic Joints & Degrees of Freedom

Theory of Machines: Kinematic Joints & Degrees of Freedom

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Master how to determine the DOF in a mechanical system with different kinematic joints and sliding/rolling contacts

Updated on Sep, 2026

Teaching and Academics , Engineering,

Duration - 1.5 hours

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In this course, you will master many types of kinematic joints and will be able to analyze a mechanical system to determine its Degrees of Freedom. You will understand common kinematic constraints such as the revolute, prismatic and rigid joints, and will learn how to deal with challenging cases such as over-constrained systems. You will also experience some more complex constraints such as the pin-on-slot joint, and the sliding and rolling contacts. During each lecture, you will find enough examples and illustrations to fully grasp the concepts and have a clear picture of them. After each lecture, there will be several exercises for you to practice what you have learned. Following each exercise, you will have access to my detailed solutions in a separate lecture, which might be a good chance for you to compare with yours and evaluate your learning process. After completing all the lessons, there will be a review section giving you a quick summary of all you have learned followed by some more complex exercises from the entire course. The role of this review is to make you prepared for the final exam coming at the end of the course. You can finally assess your exam using the provided solutions and celebrate your progress.

Check out the detailed breakdown of what’s inside the course

Dr. Shahram Shokouhfar has taught several mechanical engineering courses as a faculty instructor for many years. He has also worked as a Simulation Engineer and Software Developer in the Surgical Simulation Industry.

He has a passion of teaching engineering topics and enjoys helping people and following up their progress. He has an outstanding talent of making complex concepts easy to understand and apply.

His proven method of teaching is simple and effective: First grasp the rules of the game and then enjoy playing. He illustrates the concepts by simple examples and then naviagates you to practice and apply them in a sequence of problems with progressive level of complexity. At the end, not only you can solve fresh problems, but also you will be able to classify problems into familiar groups for which you have effective solution strategies.

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