A shop sign weighing 215 N hangs from the end of auniform 175-N beam as shown in (Figure 1).Find the tension in the supporting wire (at 35.0 degrees)

Question

03-11-2022
Physics

contestada

A shop sign weighing 215 N hangs from the end of auniform 175-N beam as shown in (Figure 1).Find the tension in the supporting wire (at 35.0 degrees)

Respuesta :

Otras preguntas

what is this material This material can begin as a solid on the surface of the Earth. Weathering can then break the material up into pieces, and erosion can tra

Write an equation for the line shown

What is the only level of federal courts that has a jury? O A. Circuit Court of Appeals O B. District Court O c. Supreme Court OD. Divorce Court

Which sentence the apostrophe incorrectly

If y varies directly as x, and y is 180 when x is n and yis n when x is 5, what is the value of n? 6 18 30 36

Fill in the blank with the word or phrase that best completes the sentence. Puella in camerā mansit erat tristis. quibus quae O qui O cuius

freeeeeeeeeeeeeeeeeeeeeeee

in what condition is the house from the fall of usher

Which sentence would work best as a concluding sentence to this paragraph? A) Katherine did not feel like today was going to go well at all. B) Katherine shoul

Sales mix is: Multiple Choice important to sales managers but not to accountants. easier to analyze on absorption costing income statements. a measure of the re

AribaY199239 AribaY199239 · Answer 1 · 2022-11-03T15:11:56+01:00

In order to find the tension in the wire, let's first decompose it in its vertical and horizontal components:

[tex]\begin{gathered} T_x=T\cdot\cos (35\degree) \\ T_y=T\cdot\sin (35\degree) \end{gathered}[/tex]

Now, since the system is stable, the sum of vertical forces is equal to zero, so we have:

[tex]\begin{gathered} T_y-175-215=0 \\ T_y-390=0 \\ T_y=390 \\ T\cdot\sin (35\degree)=390 \\ T\cdot0.57358=390 \\ T=\frac{390}{0.57358} \\ T=679.94\text{ N} \end{gathered}[/tex]

So the tension in the wire is equal to 679.94 N.