A body is subjected to the two harmonic motions, [ begin{aligned} & x_{1}(t)=100 sin left(omega t+frac{pi}{3} ight)

A body is subjected to the two harmonic motions,

\[ \begin{aligned} & x_{1}(t)=100 \sin \left(\omega t+\frac{\pi}{3}\right) \mathrm{mm} \\ & x_{2}(t)=50 \sin \left(\omega t+\frac{\pi}{6}\right) \mathrm{mm} \end{aligned} \]

What additional harmonic motion should be applied to the body to bring it to static equilibrium?