The two ropes supporting the hammock shown in the illustration below are both tied to the trees at the same height. At what angle, θ, will the tension T in each rope be equal to the person's weight? In other words, at what angle θ does Tension = mg? 30 60 45 20
![A child is on a swing. An adult tied a rope to the seat of the swing and pulled the swing forward. That rope is now horizontal, and the ropes attached to the swing structure make an angle θ with the vertical, as shown. (Note: There are two ropes tied to the chair that go to the top of the swing structure, one on each side of the child. We just see one in the in the image since we are looking at a side view. ) The child has a mass m. The adult uses the rope to hold the child at rest. What is the tension in the horizontal rope, and what are the tensions in each of the ropes connecting the seat to the top of the swing structure? [Use the following values. θ = 50.0∘, m = 25.0 kg ]](https://www.doubtrix.com/uploads/editor/8983639982scsdsdkvvh.png)
