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Consider the 65 N light fixture supported as in the figure. Find the tension in the supporting wires.

Consider The 65 N Light Fixture Supported As In The Figure Find The Tension In The Supporting Wires class=

Sagot :

Temdan2001idn

By using Lami's theorem formula, the tension in the supporting wires is 48.6 Newtons

TENSION

  • Tension is also a force having Newton as S.I unit.
  • The tension in the wire will be the same.

This question can be solved by using either vector diagram or by using  Lami's theorem.

The sum of two given angles  = 42 + 42 = 84 degrees

The third angle = 180 - 84 = 96 degrees.

Below is the Lami's theorem formula

[tex]\frac{T}{sin\alpha } = \frac{T}{sin\beta } = \frac{W}{sinY}[/tex]

Where

[tex]\alpha = \beta[/tex] = 42 + 90 = 132 degrees

Y = 96 degrees

W = 65 N

By using the formula, we have

[tex]\frac{T}{sin\alpha } = \frac{W}{sinY}[/tex]

T/sin 132 = 65/sin96

Cross multiply

T = 0.743 x 65.57

T = 48.56 N

Therefore, the tension in the supporting wires is 48.6 Newtons approximately.

Learn more about Tension here: https://brainly.com/question/24994188

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