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According to the equation, Er=1/2Iw^2, I=mr^2, and w=v/r (no slipping effect) right?

but doesn't I=mr^2 apply only when the weight is evenly distributed throughout the axis?

In my experiment, I'm going to add mass only on one side of an empty cylindrical can (using bluetag). Will I be still able to calculate the inertia using this I=mr^2 equation?

thank you for reading!