Tension in strings

Question

Find the tension in each of the three cables supporting the traffic light if it weighs 300 N (hint: both T1Y and T2Y, the "y" components of T1 and T1, need to equal the weight of the traffic light; from there, and knowing that T1X and T2X need to be equal and opposite, you should be able to get two equations and two unknowns).

Answer 1

You can't solve this unless you have the angles that each tension makes with the vertical.

In that case:

The vertical force balance is weight down = T_1y + T_2y and for vertical angles T_iy = T_icos(θ_i)

The horizontal force balance: T_1x = T_2x where T_ix = Tsin(θ_i)

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