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 mm. The lower part of the rope is held under tension by a spring (not shown). The strings contort the rope so that its middle section lies at angle θ. For θ = 45∘ and mm = 400 g, what is the tension T2 in the middle part of the rope?

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Chapter1: Units, Trigonometry. And Vectors
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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 mm. The lower part of the rope is held under tension by a spring (not shown). The strings contort the rope so that its middle section lies at angle θ.

For θ = 45∘ and mm = 400 g, what is the tension T2 in the middle part of the rope?

T1
T2
m
m
Transcribed Image Text:T1 T2 m m
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