Wow! I should have thought of that, sorry for the messy math but I just got so excited when I was able to cancel out mass. I guess the disk goes further regardless of somehow having more inertia, I guess it just threw me off that the disk had more inertia with the same mass and radius.
So even though the disk has greater inertia, it will still have the larger horizontal displacement? Is there a concept that I'm missing or overlooked here?
The mass and radius of both the hoop and the disk are defined as m0 and r0 respectively, so maybe the question is giving me false information so I catch on to the false physics at work?
I know that a hoop should have a higher rotational inertia than a solid disk because its mass is distributed further from the axis of rotation. What I don't understand is how a disk of the same mass and radius can have a higher rotational inertia. If the objects roll freely their axes of...