As interpreted from butterflyyoyo1cm.png, assuming that they are the same yoyos, each "half-yoyos" has 1cm of length, also, the center gap consists of 0.2cm, making the yoyo widths 2.2cm across in diameter exteriorly(1.1cm in radius).
For the "interior" length, as shown in butterflyyoyo1.1cm.PNG, the yoyo has 1.1cm in radius interiorly.
As shown in image BEST3124BU.jpg, the yoyo has a radius of 2.5cm in length.
Ignoring the mass of the string, half of the yoyo weighs 30.75g(0.03075kg), which adds up to 61.5grams(0.0615kg) for the object as a whole.
Question: Assuming the yoyo has the same mass density in every part of the yoyo(except the center gap), what is the value of the moment of inertia of the yoyo?
Moment of Inertia: I = m(r^2)
The Attempt at a Solution
Used the formula I = 0.5M(R^2) from a physics textbook, stating that solid cylinder about cylindrical axis, but it does not work for this case.