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.
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