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When an acrobat walks on a tightrope, she extends her arms

Chapter 4, Problem 7DQ

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QUESTION:

When an acrobat walks on a tightrope, she extends her arms straight out from her sides. She does this to make it easier for her to catch herself if she should tip to one side or the other. Explain how this works. [Hint: Think about Eq. (10.7).]

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QUESTION:

When an acrobat walks on a tightrope, she extends her arms straight out from her sides. She does this to make it easier for her to catch herself if she should tip to one side or the other. Explain how this works. [Hint: Think about Eq. (10.7).]

ANSWER:

Step 1 of 4

If a system experiences no external torque from the environment, the total angular momentum of the system is conserved

Applying this law of conservation of angular momentum to a system whose moment of inertia changes gives

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