Question Number 80885 by ajfour last updated on 07/Feb/20
Commented by ajfour last updated on 07/Feb/20
$${cylinder}\:{against}\:{a}\:{wall}\:{and}\:{an} \\ $$$${incline}.\:{Find}\:{acceleration}\:\left(\rightarrow\right) \\ $$$${of}\:{the}\:{system}\:{such}\:{that}\:{both} \\ $$$$\:{normal}\:{reactions}\:{are}\:{equal}. \\ $$
Commented by mr W last updated on 07/Feb/20
$${N}\:\mathrm{cos}\:\alpha={mg} \\ $$$$\Rightarrow{N}=\frac{{mg}}{\mathrm{cos}\:\alpha} \\ $$$${N}−{N}\:\mathrm{sin}\:\alpha={ma} \\ $$$$\Rightarrow{a}=\frac{{N}\left(\mathrm{1}−\mathrm{sin}\:\alpha\right)}{{m}}=\frac{{g}\left(\mathrm{1}−\mathrm{sin}\:\alpha\right)}{\mathrm{cos}\:\alpha} \\ $$
Commented by ajfour last updated on 08/Feb/20
$${Thanks}\:{sir}! \\ $$