Horizontal force to displace a hanging chandelier 0.100 m

[strugglin-physics]

A 26.5 kg chandelier hangs from a ceiling on a vertical 4.11 m long wire. What horizontal force would be necessary to displace its position 0.100 m to one side?
I know that the tension on the wire would be 260 N but I still can't figure out the force need to displace it .100

 

[Leong]

Static equilibrium : Could you proceed with this?

 

[strugglin-physics]

I tried but I'm still just as stuck as before.

 

[Leong]

Because the object is in static equilibrium, the net force acting on it in any direction will be zero. Let's take the horizontal x-component. Left direction: Negative. Right direction positive.
$$\begin{multline*}<br /> \begin{split}<br /> &Newton\ 2nd\ Law:\\<br /> &\sum\vec{F}=m\vec{a}\\<br /> &F+(-Tcos\ \theta) = 0\\<br /> &Vertical\ y\ component:\\<br /> &Upward\ direction:\ positive;\ Downward:\ Negative\\<br /> &Tsin\ \theta+(-mg)=0\\<br /> &\theta\ is\ the\ acute\ angle\ between\ T\ and\ the\ horizontal.\\<br /> \end{split}<br /> \end{multline*}$$