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¿How do i properly analyze a sliding crank? (photo attached)

¿How do i properly analyze a sliding crank? (photo attached)

¿How do i properly analyze a sliding crank? (photo attached)

(OP)
Hello! i am a mechatronics engineer doing the final works to get the bachelors degree.

i proposed to make a series of 3d printed mechanisms in order to teach freshmen and high schoolers about mechanism design... the problem is that myself havent gotten proper
mechanism analytics and design education

mechatronics is an engineering career were you are *supposed* to learn electronics, mechanical and computer sicene concept to mainly apply it to automatization and robots,
as you can guess the big problem is how youre gonna fit 3 careers in one; short answer: you wont (specially in mexico we had union problems taking us a whole month from courses each semester).

i accept my part of blame for not learning outside what little could do my teachers on the circustances we were taught,yet i want to go pass that and properly educate myself in this final project.

back to the project: i consider myself a really good model 3d modeler, so i was able to do this functional sliding crank, the whole design is supposed to be able to re-assemble into different combination
of a sliding crank mechanism, it is sensed by an encoder to know the angle of the crank, and by a ultrasonic sensor for the position of the slider, all of this is connected thru an arduino to a computer
so you can control it in a matlab interface (control and electronics i have no problem at all, is already sorted)

the idea for this is for other students to analyze the mechanism, measure it and get calculation about what position is gonna have if we move the crank on a certain angle, once they get their calculations,
they are supposed to write them on the interface to see on the live mechanism if they are correct

since i dont know myself how to get the ecuation to enter the angle and get the position (as far as i been reading is made tru vector math?) i cant advance on the other mechanism and the rest of the project

also i would really appreciate if you respond guys you can link me the names of the books were i can properly keep studying mechanism theory and design

hope you can help me out, have a nice day! (a photo of the 3d print is attached to this post... i think.. feel free to ask for more photos)
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