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A 0.16-g spider hangs from the middle of the first thread

Chapter 6, Problem 92GP

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QUESTION:

Problem 92GP

A 0.16-g spider hangs from the middle of the first thread of its future web. The thread makes an angle of 7.2° with the horizontal on both sides of the spider. (a) What is the tension in the thread? (b) If the angle made by the thread had been less than 7.2°, would its tension have been greater than, less than, or the same as in part (a)? Explain.

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QUESTION:

Problem 92GP

A 0.16-g spider hangs from the middle of the first thread of its future web. The thread makes an angle of 7.2° with the horizontal on both sides of the spider. (a) What is the tension in the thread? (b) If the angle made by the thread had been less than 7.2°, would its tension have been greater than, less than, or the same as in part (a)? Explain.

ANSWER:

Solution 92GP

Part (a)

Step 1 of 4:

A spider is hanging from the middle of the thread. The thread makes an angle with the horizontal on its both sides. We are going to find the tension in the thread.

The mass of the spider m = 0.16 g or 0.16 x 10-3 kg

The angle between the thread and the horizontal θ = 7.2°

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