Question Number 187513 by mr W last updated on 18/Feb/23
Commented by mr W last updated on 18/Feb/23
$${the}\:{frictionless}\:{bowl}\:{has}\:{the}\:{shape}\: \\ $$$${of}\:{a}\:{hemisphere}\:{with}\:{radius}\:{R}.\: \\ $$$${a}\:{small}\:{ball}\:{at}\:{the}\:{rim}\:{of}\:{the}\:{bowl}\:{is}\: \\ $$$${given}\:{a}\:{horizontal}\:{velocity}\:{u}\:{in}\: \\ $$$${tangential}\:{direction}. \\ $$$${can}\:{the}\:{ball}\:{reach}\:{the}\:{bottom}\:{of}\:{the} \\ $$$${bowl}? \\ $$$${find}\:{the}\:{time}\:{which}\:{the}\:{ball}\:{takes} \\ $$$${to}\:{reach}\:{half}\:{of}\:{the}\:{depth}\:{of}\:{the}\:{bowl}, \\ $$$${if}\:{possible}. \\ $$