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Category: Mechanics

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}…

Question-222520

Question Number 222520 by mr W last updated on 29/Jun/25 Commented by mr W last updated on 29/Jun/25 $${a}\:{ball}\:{is}\:{released}\:{at}\:{the}\:{point}\:\left({d},\:{h}\right) \\ $$$${on}\:{to}\:{the}\:{ground}\:\:{which}\:{has}\:{the}\: \\ $$$${shape}\:{of}\:{a}\:{hyperbola} \\ $$$${with}\:{equation}\:−\frac{{x}^{\mathrm{2}}…

Question-222419

Question Number 222419 by ajfour last updated on 26/Jun/25 Commented by ajfour last updated on 26/Jun/25 $$\bar {{v}}=\mathrm{5}\left(\mathrm{sin}\:\theta\hat {{i}}+\mathrm{cos}\:\theta\hat {{j}}\right)\:\:\:\:\:\theta\:{constant}. \\ $$$${Find}\:\:\:\:\:\frac{{Y}}{{T}}\left(\theta\right).\:{Hence}\:\theta\:{such}\:{that} \\ $$$$\frac{{Y}}{{T}}\left(\theta\right)\:{is}\:{a}\:{maximum}. \\…

Question-222123

Question Number 222123 by mr W last updated on 18/Jun/25 Commented by mr W last updated on 18/Jun/25 $${a}\:{ball}\:{is}\:{released}\:{at}\:{the}\:{point}\:\left({d},\:{h}\right) \\ $$$${and}\:{is}\:{rebounded}\:{from}\:{the}\:{ground}\: \\ $$$${which}\:{has}\:{the}\:{shape}\:{of}\:{a}\:{hyperbola} \\ $$$${with}\:{equation}\:−\frac{{x}^{\mathrm{2}}…