1. The big bird perches in the middle of a telephone wire. Its mass is 250 g. The wire makes an angle with respect to the horizontal. You can ignore the small birds for this problem. Draw a careful free body diagram for the big bird. b. Show that the tension in the line T is given by a. mg 2sine for the birds T = C. Find T if = 1° . d. Find T if 0 = 30°. e. Explain in words why a larger angle corresponds to a smaller tension in the wire.
1. The big bird perches in the middle of a telephone wire. Its mass is 250 g. The wire makes an angle with respect to the horizontal. You can ignore the small birds for this problem. Draw a careful free body diagram for the big bird. b. Show that the tension in the line T is given by a. mg 2sine for the birds T = C. Find T if = 1° . d. Find T if 0 = 30°. e. Explain in words why a larger angle corresponds to a smaller tension in the wire.
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Chapter1: Units, Trigonometry. And Vectors
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Parts A, B, and E please!
![1. The big bird perches in the middle of a telephone wire. Its mass is 250 g. The wire makes an angle θ with respect to the horizontal. You can ignore the small birds for this problem.
a. Draw a careful free body diagram for the big bird.
b. Show that the tension in the line T is given by
\[
T = \frac{mg}{2 \sin \theta}
\]
c. Find \( T \) if \( \theta = 1^\circ \).
d. Find \( T \) if \( \theta = 30^\circ \).
e. Explain in words why a larger angle corresponds to a smaller tension in the wire.
The image shows a cartoon big bird sitting in the middle of a telephone wire, surrounded by small birds. The wire forms an angle \( \theta \) with the horizontal at both ends, depicted using right-angle triangles to emphasize the angle with respect to the horizontal line.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff3b4aa68-1696-4204-931e-d52a90d9be65%2F68677666-c911-486c-9155-2fe319573145%2Fshgsnz_processed.png&w=3840&q=75)
Transcribed Image Text:1. The big bird perches in the middle of a telephone wire. Its mass is 250 g. The wire makes an angle θ with respect to the horizontal. You can ignore the small birds for this problem.
a. Draw a careful free body diagram for the big bird.
b. Show that the tension in the line T is given by
\[
T = \frac{mg}{2 \sin \theta}
\]
c. Find \( T \) if \( \theta = 1^\circ \).
d. Find \( T \) if \( \theta = 30^\circ \).
e. Explain in words why a larger angle corresponds to a smaller tension in the wire.
The image shows a cartoon big bird sitting in the middle of a telephone wire, surrounded by small birds. The wire forms an angle \( \theta \) with the horizontal at both ends, depicted using right-angle triangles to emphasize the angle with respect to the horizontal line.
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