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It's one of those problems where my intuition is an immediate 'yes', but I'm gonna think it over. There's a wonderful book by W. Kruczek Moment Pędu w 20 Doświadczeniach (The Angular Momentum in 20 Experiments) that's aimed at Polish highschoolers. The goal of the book was to make the topic more intuitive. I don't have it, but I'm going to scan relevant pages next time I'm in the library and translate as best as I can.Which is 100% useful if you want to build a bicycle but 0% satisfying if you want a deeper, intuitive answer of why the world works.