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Category: Mechanics

Question-224665

Question Number 224665 by ajfour last updated on 24/Sep/25 Commented by ajfour last updated on 24/Sep/25 $${At}\:{the}\:{instant}\:{shown}\:{rotating} \\ $$$${frame}\:{plane}\:{lies}\:{in}\:{yz}\:{plane}. \\ $$$${Angular}\:{acceleration}\:\left({constant}\right) \\ $$$${is}\:\boldsymbol{\alpha},\:{angular}\:{velocity}\:\boldsymbol{\omega}.\:{Find}\:\boldsymbol{\theta} \\ $$$${and}\:\boldsymbol{\phi}.\:{String}\:{length}\:{is}\:{L}.…

Question-224556

Question Number 224556 by mr W last updated on 18/Sep/25 Commented by mr W last updated on 18/Sep/25 $${if}\:{the}\:{friction}\:{coefficient}\:{between} \\ $$$${a}\:{small}\:{ball}\:{with}\:{mass}\:\boldsymbol{{m}}\:{and}\:{a} \\ $$$${thin}\:{tube}\:{ring}\:{with}\:{radius}\:\boldsymbol{{R}}\:{and} \\ $$$${mass}\:\boldsymbol{{M}}\:{is}\:\boldsymbol{\mu},\:{find}\:{the}\:{angle}\:\boldsymbol{\theta}\:{which}…

Question-224489

Question Number 224489 by ajfour last updated on 14/Sep/25 Commented by ajfour last updated on 14/Sep/25 $${Find}\:\theta.\:{string}\:{length}\:{is}\:{s}.\: \\ $$$${No}\:{friction}\:{at}\:{G}. \\ $$$$\left({sorry}\:{for}\:{my}\:{absence}\right) \\ $$$${Take}\:{edge}\:{lengths}\:{of}\:{cubes}=\mathrm{2}{a}. \\ $$…

Question-224432

Question Number 224432 by mr W last updated on 10/Sep/25 Commented by mr W last updated on 11/Sep/25 $${if}\:{an}\:{object}\:{takes}\:{the}\:{same}\:{time}\:{to} \\ $$$${reach}\:{the}\:{bottom}\:{of}\:{a}\:{bowl},\:{no}\: \\ $$$${matter}\:{at}\:{which}\:{point}\:{it}\:{is}\:{released} \\ $$$${on}\:{the}\:{interior}\:{of}\:{the}\:{bowl},\:{find}\:{the}…

Question-224144

Question Number 224144 by mr W last updated on 23/Aug/25 Commented by mr W last updated on 23/Aug/25 $${find}\:{the}\:{normal}\:{force}\:\boldsymbol{{N}}\:{between}\: \\ $$$${two}\:{solid}\:{cylinders}\:{with}\:{masses} \\ $$$$\boldsymbol{{m}}_{\mathrm{1}} ,\:\boldsymbol{{m}}_{\mathrm{2}} \:{and}\:{radii}\:\boldsymbol{{r}}_{\mathrm{1}}…

Question-223928

Question Number 223928 by mr W last updated on 09/Aug/25 Commented by mr W last updated on 14/Aug/25 $${a}\:{mass}\:\boldsymbol{{m}}\:{is}\:{tied}\:{on}\:{each}\:{end}\:{of}\: \\ $$$${an}\:{uniform}\:{rope}\:{with}\:{mass}\:\boldsymbol{{M}}\: \\ $$$${and}\:{length}\:\boldsymbol{{L}}.\:{in}\:{how}\:{many}\:{ways} \\ $$$${can}\:{the}\:{rope}\:{be}\:{supported}\:{on}\:{the}…