M D. m The device shown above is made of low-mass rods and four point masses. The smaller masses (m = 0.29 kg) are a distance d = 0.37 m from the center, and the larger masses (M = 0.75 kg) are a distance D = 0.24 m from the center. The device rotates about its fixed center with a period of 0.44 s. Part 1 What is the moment of inertia of this device about its center? i kg-m?

College Physics
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Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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**Description of Diagram:**

The diagram depicts a rotating device consisting of low-mass rods and four point masses. The setup is symmetrical about its center, which is indicated as the fixed point of rotation. The smaller masses, denoted by \( m \), are located at a distance \( d \) from the center, while the larger masses, denoted by \( M \), are at a distance \( D \) from the center. Arrows indicate the rotational direction.

**Details:**

- **Smaller masses ( \( m \) )**: 0.29 kg each, positioned at a distance \( d = 0.37 \, \text{m} \) from the rotational center.
- **Larger masses ( \( M \) )**: 0.75 kg each, at a distance \( D = 0.24 \, \text{m} \) from the center.
- The device rotates with a period of 0.44 seconds.

**Task in Part 1:**

Calculate the moment of inertia \( I \) of the device about its center.

**Formula Input Box:**

A field is provided to input the calculated moment of inertia in \( \text{kg} \cdot \text{m}^2 \).

**Controls:**

- Save for Later button
- Submit Answer button
- Attempt counter: 0 of 4 used

This exercise requires understanding and application of rotational dynamics concepts, particularly in calculating the moment of inertia for a system with multiple masses at known distances from a rotational axis.
Transcribed Image Text:**Description of Diagram:** The diagram depicts a rotating device consisting of low-mass rods and four point masses. The setup is symmetrical about its center, which is indicated as the fixed point of rotation. The smaller masses, denoted by \( m \), are located at a distance \( d \) from the center, while the larger masses, denoted by \( M \), are at a distance \( D \) from the center. Arrows indicate the rotational direction. **Details:** - **Smaller masses ( \( m \) )**: 0.29 kg each, positioned at a distance \( d = 0.37 \, \text{m} \) from the rotational center. - **Larger masses ( \( M \) )**: 0.75 kg each, at a distance \( D = 0.24 \, \text{m} \) from the center. - The device rotates with a period of 0.44 seconds. **Task in Part 1:** Calculate the moment of inertia \( I \) of the device about its center. **Formula Input Box:** A field is provided to input the calculated moment of inertia in \( \text{kg} \cdot \text{m}^2 \). **Controls:** - Save for Later button - Submit Answer button - Attempt counter: 0 of 4 used This exercise requires understanding and application of rotational dynamics concepts, particularly in calculating the moment of inertia for a system with multiple masses at known distances from a rotational axis.
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