Scotch Yoke mechanism - Displacement. velocity and acceleration analysis - Hand written notes

 Scotch Yoke mechanism - Displacement. velocity and acceleration analysis - Hand written notes

In this article for a variation of  Scotch Yoke Mechanism displacement, velocity and acceleration equations derived.

Watch it on YouTube: https://youtu.be/jbpH45SriBs

In the below picture shown is a variation of Scotch Yoke Mechanism, where length of the crank is R, and angle between sliding block and plunger/horizontal axis is alpha. Omega is angular velocity and alpha is angular acceleration of the crank.

In the below picture, described how to derive equation to find displacement of the plunger (x) in terms of crank length R, crank angle theta and sliding block angle alpha.

To find the velocity of plunger (x dot), differentiate displacement equation (x) with respect to time once and to find acceleration of the plunger (x double dot), differentiate displacement equation (x) twice, the procedure and final equations for velocity and acceleration of the plunger are shown in the below picture. In the below equations omega is angular velocity of crank and "a" which is next to R is angular acceleration of the crank.