# Chandelier horizontal force help

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

## Answers and Replies

Related Introductory Physics Homework Help News on Phys.org
Static equilibrium : Could you proceed with this?

#### Attachments

• 1.4 KB Views: 319
I tried but I'm still just as stuck as before.

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.
$$\begin{multline*} \begin{split} &Newton\ 2nd\ Law:\\ &\sum\vec{F}=m\vec{a}\\ &F+(-Tcos\ \theta) = 0\\ &Vertical\ y\ component:\\ &Upward\ direction:\ positive;\ Downward:\ Negative\\ &Tsin\ \theta+(-mg)=0\\ &\theta\ is\ the\ acute\ angle\ between\ T\ and\ the\ horizontal.\\ \end{split} \end{multline*}$$