A rigid body is made of three identical thin rods, each with length L = 0.320 m, fastened together in the form of a letter H, as suggested by the figure here. The body is free to rotate about a horizontal axis that runs along the length of one of the legs of the H. The body is allowed to fall from rest from a position in which the plane of the H is horizontal. What is the angular speed of the body when the plane of the H is vertical? L Number i Unit

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The problem involves a rigid body composed of three identical thin rods, each with a length \( L = 0.320 \, \text{m} \), arranged in the shape of the letter "H." The body is free to rotate about a horizontal axis that runs along the length of one of the "legs" of the H. Initially, the body is positioned such that the plane of the H is horizontal and then allowed to fall from rest. The question seeks to determine the angular speed of the body when the plane of the H becomes vertical.

### Diagram Explanation

- **Structure**: The diagram shows three rods forming an "H" shape, with each rod marked with the length \( L \).
- **Axis of Rotation**: A curved arrow indicates rotation around a horizontal axis along one of the vertical rods of the "H."
  
### Interaction Area

Below the problem, there is an input field for the user to enter the numerical answer with an associated dropdown menu to select the unit of the angular speed.

This setup involves applying principles of rotational dynamics and energy conservation to solve for the angular speed.
Transcribed Image Text:The problem involves a rigid body composed of three identical thin rods, each with a length \( L = 0.320 \, \text{m} \), arranged in the shape of the letter "H." The body is free to rotate about a horizontal axis that runs along the length of one of the "legs" of the H. Initially, the body is positioned such that the plane of the H is horizontal and then allowed to fall from rest. The question seeks to determine the angular speed of the body when the plane of the H becomes vertical. ### Diagram Explanation - **Structure**: The diagram shows three rods forming an "H" shape, with each rod marked with the length \( L \). - **Axis of Rotation**: A curved arrow indicates rotation around a horizontal axis along one of the vertical rods of the "H." ### Interaction Area Below the problem, there is an input field for the user to enter the numerical answer with an associated dropdown menu to select the unit of the angular speed. This setup involves applying principles of rotational dynamics and energy conservation to solve for the angular speed.
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