Scientists have studied how snakes grip and climb ropes. In one study, they found that an important characteristic of a rope is its "compliance"--that is, how easily the rope, while under tension, can be flexed. (Figure 1) shows how scientists measured a rope's compliance by attaching it to two strings, each supporting an identical mass m. The strings contort the rope so that its middle section lies at angle ?.

a) For ? = 45 ? and m = 400 g, what is the tension T 1 in the upper part of the rope?

b) For ? = 45 ? and m = 400 g, what is the tension T 2 in the middle part of the rope?

m T2 T m