Theory of Machines: Kinematic Joints & Degrees of Freedom
Master how to determine the DOF in a mechanical system with different kinematic joints and sliding/rolling contacts

What you will learn

Understand common types of kinematic constraints such as the revolute, prismatic and rigid joints

Experience more complex constraints such as the pin-on-slot joint as well as the sliding and rolling contacts

Master how to analyze a mechanical system to determine its Degrees of Freedom

Learn how to deal with challenging cases such as over-constrained systems

Find lots of examples to have a clear picture of complex concepts

Practice what you have learned by completing a set of easy to complex exercises with detailed solutions

Get prepared for the exam via a quick review of the entire course followed by some more complex exercises

Have a chance to take a final exam and self-assess your progress using the provided solutions

Description

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.


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Content

Introduction and Course Outline

Introduction and Course Outline

Understand Common Kinematic Joints

Revolute Joint
Prismatic Joint
Rigid Joint
Exercise: Common Kinematic Joints
Solution: Common Kinematic Joints
Deal with Revolute Joints between Convergent Links
Exercise: Revolute Joints between Convergent Links
Solution: Revolute Joints between Convergent Links
Simplify a Triangle of Pinned Links
Identify Over-Constrained Cases
Exercise: Over-Constrained Cases
Solution: Over-Constrained Cases

Understand Pin on Slot Joint

Pin on Slot Joint
Exercise: Pin on Slot Joint
Solution: Pin on Slot Joint

Learn Sliding and Rolling Contacts

Sliding and Rolling Contacts
Exercise: Sliding and Rolling Contacts
Solution: Sliding and Rolling Contacts

Course Review and More Complex Exercises

Course Review
Exercise: Course Review
Solution: Course Review

Course Exam

Course Exam
Solution: Course Exam