
Compute the angular velocity ratio for the driver and follower in a direct-contact transmission: omega2/omega3 = O3Q/O2Q, with Q as the intersection of the line of transmission and line of centers.
We prove the angular velocity ratio for direct and indirect motion transmission, using contact point P and similar triangles to relate omega 2 and omega 3.
Apply direct motion transmission using the instantaneous center Q, with the ratio omega3 over omega2 equals O2 Q over O3 Q, illustrated through sliding contact, rolling contact, and pin-on-slot examples.
Apply the omega ratio to determine the follower's angular velocity from the driver in six indirect motion transmission examples using the line of transmission and the line of centers.
Derive angular-velocity relations for indirect motion transmission using line of transmission and centers, intersection point Q, and ratios to omega2 with sign conventions.
Review line of transmission for direct contact along normal, gears and disks along tangent, pin on slot, rigid coupler, belt transmissions, and line of centers with rolling on the ground.
In this course, you will get familiar with the different methods of transmitting motion between rigid bodies in a mechanical system. You will understand the concept of "line of transmission" and "line of centers", and will be able to draw these lines between the two sides of a motion transmission. You will experience various situations depending on the type of motion transmission (being either direct or indirect) and the types of kinematic joints in the system. You will learn how to find the angular velocity of an output link as a function of the angular velocity of an input link via applying a formula that requires the "line of transmission" and the "line of centers". We will derive this formula with detailed illustrations using the similarity of triangles from basic geometry. During the lectures, you will find lots of easy to tricky examples to understand and master all the concepts. You will also have ample chance to practice what you have gained and evaluate your progress via several exercises followed by detailed solutions. After completing all the lessons, there will be a course review section giving you a quick summary of all you have learned followed by some more challenging exercises from the entire course.