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kramer
3 years ago
12

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 n

ewtons respectively. What is θ₁?

Physics
2 answers:
tankabanditka [31]3 years ago
8 0

The value of angle Θ is 57.3°.

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

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

By using fraction 1 and 2

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

Θ1=57.3°

nikklg [1K]3 years ago
5 0

Answer:

65.5 degree

Explanation:

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

T_{1}Cos\theta _{1} = T_{2}Cos65

132.6\times Cos\theta _{1} = 130\times Cos65

Cos\theta _{1} = 0.4143

theta _{1} = 65.5 Degree

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