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A box weighing 200 newtons is hanging from the ceiling. The value of θ₂ is 65°. Tensions T₁ and T₂ are 132.6 newtons and 130.0 newtons respectively. What is θ₁?

A box weighing 200 newtons is hanging from the ceiling The value of θ is 65 Tensions T and T are 1326 newtons and 1300 newtons respectively What is θ class=

Respuesta :

The value of angle Θ is 57.3°.

Consider the free body diagram, we can use Lami theorem to calculate the value of angle

[tex]\frac{T1}{sin(90+65)}=\frac{T2}{sin(90+Θ1)}=\frac{200}{sin(180-(65+Θ1)}[/tex]

By using fraction 1 and 2

[tex]\frac{132.6}{sin(90+65)}=\frac{130}{sin(90+Θ1)}

Θ1=57.3°

Ver imagen Ursus

Answer:

65.5 degree

Explanation:

By using the equilibrium of forces, resolve the components of T1 and T2.

[tex]T_{1}Cos\theta _{1} = T_{2}Cos65[/tex]

[tex]132.6\times Cos\theta _{1} = 130\times Cos65[/tex]

[tex]Cos\theta _{1} = 0.4143[/tex]

[tex]theta _{1} = 65.5 Degree[/tex]