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 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. . a)For θ = 45 ∘ and m = 300 g, what is the tension T1 in the upper part of the rope?   For θ = 45 ∘ and m = 300 g, what is the tension T2 in the middle part of the rope?)

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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 m. 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.

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a)For θ = 45 ∘ and m = 300 g, what is the tension T1 in the upper part of the rope?
 
For θ = 45 ∘ and m = 300 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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