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-m) when the skater has their arms pulled inward by assuming they are cylinder of radius 0.11 I = sin() cos() tan() 9 HOME cotan) asin() acos() E 4 5 6 atan() acotan() sinh() 1 2 cosh() tanh() cotanh() END + ODegrees O Radians vol BACKSPACE DEL CLEAR Submit Hint Feedback I give up! 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 eir 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 the ends.

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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.
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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