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![Problem 3: Suppose we want to calculate the moment of inertia of a 65.5 kg skater, relative to a vertical axis through their center of mass.
**Part (a)** First calculate the moment of inertia (in kg·m²) when the skater has their arms pulled inward by assuming they are a cylinder of radius 0.11 m.
\( I_b = \) [Input field]
Below the input field, there is an interactive calculator with trigonometric and hyperbolic functions, constants, and a number pad. Functions include:
- Trigonometric: \( \sin() \), \( \cos() \), \( \tan() \), \( \cotan() \), \( \asin() \), \( \acos() \), \( \atan() \), \( \acotan() \)
- Hyperbolic: \( \sinh() \), \( \cosh() \), \( \tanh() \), \( \cotanh() \)
The calculator has options for calculating in Degrees or Radians, and buttons for basic operations and navigation.
**Part (b)** Now calculate the moment of inertia of the skater (in kg·m²) with their arms extended by assuming that each arm is 5% of the mass of their body. Assume the body is a cylinder of the same size, and the arms are 0.825 m long rods extending straight out from the center of their body being rotated at the ends.](https://content.bartleby.com/qna-images/question/8bdf8f1e-a074-4944-9e95-7b5187bdd920/c826a4a3-9636-4612-b5f3-dba9c881ab11/ytgb37c_processed.jpeg)
Transcribed Image Text:Problem 3: Suppose we want to calculate the moment of inertia of a 65.5 kg skater, relative to a vertical axis through their center of mass.
**Part (a)** First calculate the moment of inertia (in kg·m²) when the skater has their arms pulled inward by assuming they are a cylinder of radius 0.11 m.
\( I_b = \) [Input field]
Below the input field, there is an interactive calculator with trigonometric and hyperbolic functions, constants, and a number pad. Functions include:
- Trigonometric: \( \sin() \), \( \cos() \), \( \tan() \), \( \cotan() \), \( \asin() \), \( \acos() \), \( \atan() \), \( \acotan() \)
- Hyperbolic: \( \sinh() \), \( \cosh() \), \( \tanh() \), \( \cotanh() \)
The calculator has options for calculating in Degrees or Radians, and buttons for basic operations and navigation.
**Part (b)** Now calculate the moment of inertia of the skater (in kg·m²) with their arms extended by assuming that each arm is 5% of the mass of their body. Assume the body is a cylinder of the same size, and the arms are 0.825 m long rods extending straight out from the center of their body being rotated at the ends.
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