An acrobat hangs motionless from a taut, massless rope that is connected to the ceiling at one end and to the ground at the other end. The lower segment of rope has tension T₁ and makes an angle 0₁ with the ground. The upper segment of rope has tension T₂ and makes an angle 02 with the ceiling. Note that 0₁ <02 in the diagram. 0₁ 0₂ Consider only the horizontal component of each tension force: T₁ and T2. Which is larger? Or are they equal? Explain your reasoning. Consider only the vertical component of each tension force: Thy and T2y. Which is larger? Or are they equal? Explain your reasoning. Consider the full tension force in each rope segment: T₁ and T₂. Which is larger? Or are they equal? Explain your reasoning. (Hint: try basing your argument on the magnitudes of the horizontal and vertical components you found above.)

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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An acrobat hangs motionless from a taut, massless rope that is connected to the ceiling at one
end and to the ground at the other end. The lower segment of rope has tension T₁ and makes
an angle ₁ with the ground. The upper segment of rope has tension T₂ and makes an angle 02
with the ceiling. Note that 0₁ <0₂ in the diagram.
0₁
0₂
Consider only the horizontal component of each tension force: T₁ and T2. Which is
larger? Or are they equal? Explain your reasoning.
Consider only the vertical component of each tension force: T₁y and T2y. Which is larger?
Or are they equal? Explain your reasoning.
Consider the full tension force in each rope segment: T₁ and T₂. Which is larger? Or are
they equal? Explain your reasoning. (Hint: try basing your argument on the magnitudes
of the horizontal and vertical components you found above.)
Transcribed Image Text:An acrobat hangs motionless from a taut, massless rope that is connected to the ceiling at one end and to the ground at the other end. The lower segment of rope has tension T₁ and makes an angle ₁ with the ground. The upper segment of rope has tension T₂ and makes an angle 02 with the ceiling. Note that 0₁ <0₂ in the diagram. 0₁ 0₂ Consider only the horizontal component of each tension force: T₁ and T2. Which is larger? Or are they equal? Explain your reasoning. Consider only the vertical component of each tension force: T₁y and T2y. Which is larger? Or are they equal? Explain your reasoning. Consider the full tension force in each rope segment: T₁ and T₂. Which is larger? Or are they equal? Explain your reasoning. (Hint: try basing your argument on the magnitudes of the horizontal and vertical components you found above.)
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