Question

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?

Answer 1

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°

Answer 2

Answer:

65.5 degree

Explanation:

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

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

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

$Cos\theta _{1} = 0.4143$

$theta _{1} = 65.5 Degree$