Chandelier horizontal force help

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Homework Help Overview

The discussion revolves around a physics problem involving a chandelier suspended by a wire and the horizontal force required to displace it. The subject area includes concepts of static equilibrium and forces acting on objects.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to calculate the horizontal force needed for displacement but expresses uncertainty about the approach. Some participants suggest considering static equilibrium, while others explore the components of forces acting on the chandelier.

Discussion Status

The discussion is ongoing, with participants sharing their thoughts on static equilibrium and the forces involved. There is an indication of productive exploration of the problem, but no consensus or resolution has been reached yet.

Contextual Notes

Participants are navigating the complexities of force components and angles in the context of static equilibrium, with some details about the setup and assumptions being discussed but not fully resolved.

strugglin-physics
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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
 
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Static equilibrium : Could you proceed with this?
 

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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.
[tex] \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*}[/tex]
 

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