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...Lecture rotational dynamics a puzzle angular momentum is d vector and changing its direction produces torque l an important application t in our daily lives that bicycles don fall over when you turn explain what happens lean solution the diagram to left as wheel there about contact point with ground pointing on bicycle points downwards rf rmg which out of page since will rotate around cause bike full story lot more complicated physics not completely understood indeed then was discussed above for example if wheels are spinning we all agree leaning it tip analysis indicates need consider entire rider system just walter lewin gives neat demon stration related phenomena one moment inertia basics suppose have flat pancake object x y plane rotating axis z printed by wolfram mathematica student edition nb little piece body mass m position r whose magnitude equals this travels circle origin speed v therefore has relative rp rvm mz thus where defined i collection masses would take form mjr j n ...