A rotating door is made from four rectangular glass panes, as shown in the figure. The mass of each pane is 93.5 kg. A person pushes on the outer edge of one pane with a force of F = 88.2 N that is directed perpendicular to the pane. Determine the magnitude of the door's angular acceleration. Number i Units 1.2 m 1.2 m

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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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**Problem Statement:**

A rotating door is made from four rectangular glass panes, as shown in the figure. The mass of each pane is 93.5 kg. A person pushes on the outer edge of one pane with a force of \( F = 88.2 \, \text{N} \) that is directed perpendicular to the pane. Determine the magnitude of the door's angular acceleration.

**Diagram Explanation:**

- The diagram illustrates a top view of the rotating glass door.
- There are four panels arranged in a cross shape around a central rotational axis.
- Each arm of the cross is \( 1.2 \, \text{m} \) in length.
- A force \( F \) is applied perpendicularly at the edge of one of the panels, depicted as a vector extending outward from the pane.
- A circular arrow near the axis indicates the direction of rotation due to the applied force.

**Solution Area:**

- There is an input box labeled "Number" for entering the calculated magnitude.
- A dropdown menu labeled "Units" is available for selecting the appropriate units of measure.
Transcribed Image Text:**Problem Statement:** A rotating door is made from four rectangular glass panes, as shown in the figure. The mass of each pane is 93.5 kg. A person pushes on the outer edge of one pane with a force of \( F = 88.2 \, \text{N} \) that is directed perpendicular to the pane. Determine the magnitude of the door's angular acceleration. **Diagram Explanation:** - The diagram illustrates a top view of the rotating glass door. - There are four panels arranged in a cross shape around a central rotational axis. - Each arm of the cross is \( 1.2 \, \text{m} \) in length. - A force \( F \) is applied perpendicularly at the edge of one of the panels, depicted as a vector extending outward from the pane. - A circular arrow near the axis indicates the direction of rotation due to the applied force. **Solution Area:** - There is an input box labeled "Number" for entering the calculated magnitude. - A dropdown menu labeled "Units" is available for selecting the appropriate units of measure.
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