Physics - Test Your Knowledge: Moment of Inertia (23 of 24) Rolling Cylinder

In this video I will find the total distance covered, d(tot)=?, of a cylinder rolling up and incline.

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[johnp]

i see the angle didn't matter for the vertical distance because conservation of energy. Will adding energy loss to friction make the angles matter on how high the vertical distance it reaches? Like, a 45 vs 75 degree incline, will it travel less in vertical distance on the 75 degree inclined surface.

[johnp]

Regardless the angle of incline, the height it travels will remain the same?

[jamespeterson]

At 2:25 Kinetic energy is described as possessing translational and rotational kinetic energy. Would it also be correct to put "The initial kinetic energy possesses linear translational motion and also rotational motion"?

[ptyptypty]

but... but if you factor in Length Contraction due to velocity via Relativity... isn't the total distance = m ?? (LOL, that's a segue into relativity...) by the way, I had to go find the Derivation for the Moment of Inertia for this Thick Walled CYLINDER.... once again... Integrals to the Rescue.... on another note... one of the biggest Contributions your videos have given is the Methodology you use to SET UP INTEGRALS !!!.. that is one of the hardest things to learn.. How to set up an Integral ... be it a Work Integral for total work to lift a Chain off the ground or Draining a Swimming pool or Figuring out the Potential Energy of a Spring... all those examples are where you set up an Integral to Solve the problem... I never knew how to do that but watching your videos has shed lots of light on that Procedure... Thanks for all your videos Michel .. and thanks to your "BETTER HALF" for her editing and humor.. and that's that..