View Full Version : could someone help
strugglin-physics
Sep26-04, 07:21 PM
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
Static equilibrium : Could you proceed with this?
strugglin-physics
Sep26-04, 07:47 PM
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*}
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