Absolute Motion Analysis - Crankshaft

Check out www.engineer4free.com/dynamics for more free engineering dynamics tutorials. The course covers linear motion, projectile motion, circular motion, kinetics, work & energy, impulse & momentum, and rigid body rotation.
Typo: at 3:20 I write d^2x/dx^2 but it should have been d^2x/dt^2.
This tutorial goes introduces Absolute Motion Analysis, which is a method that we can use to solve general motion problems. It doesn't make use of any relative motion information, and only takes the absolute position and velocities into consideration. This method will usually involve using the Law of Cosines, or Law of Sines in order to relate a changing angle to a changing length when a triangle is superimposed over the diagram. This method will always involve applying the Derivative Chain Rule, and as you will wee, sometimes multiple times in a row for nested functions.
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Thanks for watching, I hope it helps!

[@mrmissdestiny5953]

3:20, must be d^2x/dt^2=dv/dt=a ....

[@Engineer4Free]

Yes sorry that is a typo. Brain and hand were not on the same page there. I pinned your comment and also made a note in the video description. Thanks for pointing it out!

[@jackflash8756]

Great set of videos showing the different methods for solving and I've surprisingly understood them all (which is a first for me because my maths is so weak). I think your presentation by reminding people of the sine and cosine laws and chain rules (without making assumptions they already know) seems to make it easier to follow the logic.

[@pmack217]

I was watching driving for answers earlier and I was wondering how this was done. Thanks for the great video

[@MathTutorVideos]

Thanks so much! These videos on the mechanics of machinery are very very helpful in preparing for my midterm

[@Engineer4Free]

Awesome!! Good luck =)

[@justmemyselfandi5532]

Thx m8, great channel! just discovered it!

[@lukecaetano8405]

Thanks bro

[@Engineer4Free]

Any time

[@ohsnapfit2096]

Shouldn't it be a^2=c^2+x^2-2csCos(theta)?, not a=...?