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Chandelier horizontal force help

  • #1
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

  • #2
382
2
Static equilibrium : Could you proceed with this?
 

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  • #3
I tried but I'm still just as stuck as before.
 
  • #4
382
2
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.
[tex]
\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*}
[/tex]
 

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