If the cords holding up the chandelier in example 9-2 can support a maximum tension of 4,200 N, then what is the maximum that the chandelier's mass can be?

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Chapter1: Units, Trigonometry. And Vectors
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If the cords holding up the chandelier in example 9-2 can support a maximum tension of 4,200 N, then what is the maximum that the chandelier’s mass can be?
Transcribed Image Text:If the cords holding up the chandelier in example 9-2 can support a maximum tension of 4,200 N, then what is the maximum that the chandelier’s mass can be?
**Figure 9-4: Example 9-2**

This figure illustrates a mechanical system involving a ceiling, a weight, and forces acting on a cable. 

(a) The diagram shows a chandelier with a weight of 200 kg suspended from the ceiling. The gravitational force acting on the chandelier is 1960 N, directed downward. Two forces keep the chandelier in balance: \(\vec{F}_A\) and \(\vec{F}_B\). Force \(\vec{F}_A\) is applied at an angle of 60° relative to the ceiling. Force \(\vec{F}_B\) is horizontal.

The coordinate system is defined with the x-axis horizontal and the y-axis vertical.

(b) The lower diagram details the components of force \(\vec{F}_A\).  It is broken into horizontal (\(F_{Ax}\)) and vertical (\(F_{Ay}\)) components. The angle of 60° is clear between \(\vec{F}_A\) and the negative y-axis.

These diagrams help analyze the vector components and balance of forces in static equilibrium situations.
Transcribed Image Text:**Figure 9-4: Example 9-2** This figure illustrates a mechanical system involving a ceiling, a weight, and forces acting on a cable. (a) The diagram shows a chandelier with a weight of 200 kg suspended from the ceiling. The gravitational force acting on the chandelier is 1960 N, directed downward. Two forces keep the chandelier in balance: \(\vec{F}_A\) and \(\vec{F}_B\). Force \(\vec{F}_A\) is applied at an angle of 60° relative to the ceiling. Force \(\vec{F}_B\) is horizontal. The coordinate system is defined with the x-axis horizontal and the y-axis vertical. (b) The lower diagram details the components of force \(\vec{F}_A\). It is broken into horizontal (\(F_{Ax}\)) and vertical (\(F_{Ay}\)) components. The angle of 60° is clear between \(\vec{F}_A\) and the negative y-axis. These diagrams help analyze the vector components and balance of forces in static equilibrium situations.
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