Solve {l}{10m=F*sinpi/6+T*sinθ}{F*cospi/6=T*cosθ}

$$\left\{ \begin{array} { l } { 10 m = F \cdot \sin \frac { \pi } { 6 } + T \cdot \sin \theta } \\ { F \cdot \cos \frac { \pi } { 6 } = T \cdot \cos \theta } \end{array} \right.$$

Solve for m, F, T, θ

$$\theta =\pi n_{1}+\frac{5\pi }{6}\text{, }n_{1}\in \mathrm{Z}\text{, }m=0\text{, }F=\frac{2\sqrt{3}T\cos(\theta )}{3}\text{, }T\in \mathrm{R}$$

$$\theta \neq \pi n_{2}+\frac{5\pi }{6}\text{, }\forall n_{2}\in \mathrm{Z}\text{, }m\in \mathrm{R}\text{, }F=\frac{2\sqrt{3}T\cos(\theta )}{3}\text{, }T=\frac{10\sqrt{3}m}{\sqrt{3}\sin(\theta )+\cos(\theta )}$$