Question Number 82753 by ajfour last updated on 23/Feb/20
Commented by ajfour last updated on 24/Feb/20
$$\mathrm{Understood}\:\mathrm{Sir},\:\mathrm{good}\:\mathrm{reasoning}, \\ $$$$\mathrm{undeniable},\:\mathrm{thanks}. \\ $$
Commented by ajfour last updated on 23/Feb/20
$$\mathrm{Given}:\:\mathrm{system}\:\mathrm{is}\:\mathrm{in}\:\mathrm{equilibrium}. \\ $$$$\mathrm{Find}\:\theta. \\ $$
Commented by mr W last updated on 24/Feb/20
$${tension}\:{in}\:{string}\:{T}={Mg}={mg}\:\mathrm{sin}\:\alpha \\ $$$$\Rightarrow{M}={m}\:\mathrm{sin}\:\alpha \\ $$$${that}\:{means}\:{if}\:{M}={m}\:\mathrm{sin}\:\alpha\:{then}\: \\ $$$${equilibrium}\:{is}\:{possible}\:{with}\:{any}\:\theta. \\ $$$${but}\:{if}\:{M}\neq{m}\:\mathrm{sin}\:\alpha\:{then}\:{no}\:{equilibrium} \\ $$$${is}\:{possible}\:{regardless}\:{how}\:{large}\:\theta\:{is}. \\ $$