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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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.
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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