Un cuerpo con un peso de magnitud igual a 200 N cuelga sobre dos cuerdas que forman un ángulo de 140° entre ellas. Determina la magnitud de la fuerza que ejerce cada cuerda sobre el cuerpo.

T = 292.4 N

Explanation:

For this exercise we must use the translational equilibrium condition

         ∑ F = 0

Since force is a vector magnitude, the easiest way

Since the angle between the two forces is 140, the angle from the vertical is half tea = 70

        cos θ = T_y / T

        sin θ = Tₓ / T

        T_y = T cos 70

        Tₓ = T sin 70

X axis

        Tₓ₁-Tₓ₂ = 0

        Tₓ₁ = Tₓ₂

Y axis  

        T_y + T_y - W = 0

        2 T cos 70 = W

        T =

let's calculate

        T = 200/2 cos 70

        T = 292.4 N

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