Question Number 47906 by ajfour last updated on 16/Nov/18
Commented by ajfour last updated on 18/Nov/18
$${If}\:{a}\:{solid}\:{cylinder}\:{released}\:{at} \\ $$$${top}\:{end}\:{of}\:{a}\:{plank}\:{that}\:{is}\:{free} \\ $$$${to}\:{turn}\:{about}\:{the}\:{bottom}\:{hinge} \\ $$$${at}\:{ground},\:{find}\:{linear}\:{velocity} \\ $$$${of}\:{cylinder}\:{and}\:{angular}\:{velocity} \\ $$$${of}\:{plank}\:{as}\:{a}\:{function}\:{of}\:{a}\:{later} \\ $$$${angle}\:\theta.\:{Assume}\:{friction}\:{is} \\ $$$${sufficient}\:{to}\:{permit}\:{pure}\:{rolling} \\ $$$${of}\:{cylinder}\:{on}\:{plank}. \\ $$$$ \\ $$
Commented by ajfour last updated on 18/Nov/18
$${coriolis}\:{force}\:{concept}\:{might}\:{be} \\ $$$${needed}\:{herein}. \\ $$