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Question Number 47906 by ajfour last updated on 16/Nov/18

Commented by ajfour last updated on 18/Nov/18

If a solid cylinder released at  top end of a plank that is free  to turn about the bottom hinge  at ground, find linear velocity  of cylinder and angular velocity  of plank as a function of a later  angle θ. Assume friction is  sufficient to permit pure rolling  of cylinder on plank.

$${If}\:{a}\:{solid}\:{cylinder}\:{released}\:{at} \\ $$$${top}\:{end}\:{of}\:{a}\:{plank}\:{that}\:{is}\:{free} \\ $$$${to}\:{turn}\:{about}\:{the}\:{bottom}\:{hinge} \\ $$$${at}\:{ground},\:{find}\:{linear}\:{velocity} \\ $$$${of}\:{cylinder}\:{and}\:{angular}\:{velocity} \\ $$$${of}\:{plank}\:{as}\:{a}\:{function}\:{of}\:{a}\:{later} \\ $$$${angle}\:\theta.\:{Assume}\:{friction}\:{is} \\ $$$${sufficient}\:{to}\:{permit}\:{pure}\:{rolling} \\ $$$${of}\:{cylinder}\:{on}\:{plank}. \\ $$$$ \\ $$

Commented by ajfour last updated on 18/Nov/18

coriolis force concept might be  needed herein.

$${coriolis}\:{force}\:{concept}\:{might}\:{be} \\ $$$${needed}\:{herein}. \\ $$

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