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## Homework Statement

Find the tension in each cord in the figure if the weight of the suspended object is w.

## Homework Equations

F=ma

## The Attempt at a Solution

I've been able to handle these questions when 2 variables are involved, but having 3 has me stumped at the moment.

so far i have only attempted system A. in this i focused on the horizontal aspects first, getting equations for Ta in terms of Tb and vice versa, by using the 0 horizontal components of both w and Tc.

when subbing these into the vertical formula (TaSin30+TbSin45+TcSin90-w=0) i could only manage to get a new formula of Tc in terms of w and wither Ta or Tb, eg. Tc=w-1.366Ta

and here i seemingly hit a dead end.

please help, i'm extremely confused.