# Could someone help

1. Sep 26, 2004

### 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

2. Sep 26, 2004

### Leong

Static equilibrium : Could you proceed with this?

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3. Sep 26, 2004

### strugglin-physics

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

4. Sep 26, 2004

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