A bird has a mass of 24 g and perches in the middle of a stretched telephone line. a. Show that the tension in the line can be calculated using the equation T = mg2sine. Determine the tension when b. 0 = 5° and c. 0 = 0.5°. Assume that each half of the line is straight.

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Chapter7: Rotational Motion And Gravitation
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Problem 54AP: A 0.400-kg pendulum bob passes through the lowest part of its path at a speed of 3.00 m/s. (a) What...
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7. A bird has a mass of 24 g and perches in the middle of a stretched telephone
line.
a. Show that the tension in the line can be calculated using the equation T =
mg2sine. Determine the tension when
b. 0 = 5° and
c. e = 0.5°. Assume that each half of the line is straight.
Transcribed Image Text:7. A bird has a mass of 24 g and perches in the middle of a stretched telephone line. a. Show that the tension in the line can be calculated using the equation T = mg2sine. Determine the tension when b. 0 = 5° and c. e = 0.5°. Assume that each half of the line is straight.
Expert Solution
Part (a)

In this case, the system is in equilibrium. So, the both the components are zero.

The x-components,

Fx=-T cosθ+T cosθ=0

 

The y-components,

Fy=T sinθ+T sinθ-mg0=2T sinθ-mgT=mg2sinθ

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