How Much Force is Needed to Displace a Chandelier Sideways?

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To displace a 26.5 kg chandelier hanging from a 4.11 m wire by 0.100 m sideways, a specific horizontal force must be calculated. The tension in the wire must be determined as part of the force balance, considering both vertical and horizontal forces. It is important to recognize that the sum of all forces acting on the chandelier must equal zero. The length of the wire is relevant for understanding the geometry of the forces involved. Using vector components will help clarify how to approach the problem effectively.
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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?

What will be the tension in the wire?

I'm really confused about how to use the available information especially the length of the wire.
 
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Note that the sum of the forces acting on the chandelier must be zero. Also, force is a vector and one of the forces is horizontal while a second is vertical. How the length enters should become apparent once you've completed the force balance! :-)
 
Could you be referring to the use of vector components to solve the equation?
 

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