The figure below shows an overhead view of a room of square floor area and side L. At the center of the room is a mirror set in a vertical plane and rotating on a vertical shaft at angular speed ω about an axis coming out of the page. A bright red laser beam enters from the center point on one wall of the room and strikes the mirror. As the mirror rotates, the reflected laser beam creates a red spot sweeping across the walls of the room. (a) When the spot of light on the wall is at distance x from point O, what is its speed? (Use the following as necessary: ω, x, and L.) (b) What value of x corresponds to the minimum value for the speed? (c) What is the minimum value for the speed? (Use the following as necessary: ω, x, and L.) (d) What is the maximum speed of the spot on the wall? (Use the following as necessary: ω, x, and L.) (e) In what time interval does the spot change from its minimum to its maximum speed? (Use the following as necessary: ω, x, and L.)
The figure below shows an overhead view of a room of square floor area and side L. At the center of the room is a mirror set in a vertical plane and rotating on a vertical shaft at angular speed ω about an axis coming out of the page. A bright red laser beam enters from the center point on one wall of the room and strikes the mirror. As the mirror rotates, the reflected laser beam creates a red spot sweeping across the walls of the room. (a) When the spot of light on the wall is at distance x from point O, what is its speed? (Use the following as necessary: ω, x, and L.) (b) What value of x corresponds to the minimum value for the speed? (c) What is the minimum value for the speed? (Use the following as necessary: ω, x, and L.) (d) What is the maximum speed of the spot on the wall? (Use the following as necessary: ω, x, and L.) (e) In what time interval does the spot change from its minimum to its maximum speed? (Use the following as necessary: ω, x, and L.)
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The figure below shows an overhead view of a room of square floor area and side L. At the center of the room is a mirror set in a vertical plane and rotating on a vertical shaft at angular speed ω about an axis coming out of the page. A bright red laser beam enters from the center point on one wall of the room and strikes the mirror. As the mirror rotates, the reflected laser beam creates a red spot sweeping across the walls of the room.
(a) When the spot of light on the wall is at distance x from point O, what is its speed? (Use the following as necessary: ω, x, and L.)
(b) What value of x corresponds to the minimum value for the speed?
(c) What is the minimum value for the speed? (Use the following as necessary: ω, x, and L.)
(c) What is the minimum value for the speed? (Use the following as necessary: ω, x, and L.)
(d) What is the maximum speed of the spot on the wall? (Use the following as necessary: ω, x, and L.)
(e) In what time interval does the spot change from its minimum to its maximum speed? (Use the following as necessary: ω, x, and L.)
Transcribed Image Text:### Explanation of Diagram: Rotating Mirror Experiment
**Diagram Overview:**
The diagram illustrates a setup involving a square enclosure with side lengths labeled \( L \). Within this enclosure, there is a mirror that rotates with angular velocity denoted by \( \omega \).
**Components:**
1. **Square Enclosure:**
- The enclosure is depicted by a square with side length \( L \).
2. **Light Path:**
- A light beam enters the enclosure and encounters the rotating mirror.
- The incident and reflected light paths are shown in red arrows.
- The initial direction of the light beam is downward, and after reflection, it is directed toward the right side of the enclosure.
3. **Rotating Mirror:**
- The mirror is shown at an angle, with a curved arrow near it indicating the direction of rotation (\( \omega \)).
- The reflection from the mirror causes the light to change direction.
4. **Variables:**
- Distance \( x \): This is the vertical distance from point \( O \), which is where the mirror reflects the light beam after it has rotated.
- Point \( O \) is marked on the diagram to indicate the position relative to the side of the enclosure.
This setup is typically used to demonstrate principles of light reflection and the effect of a rotating mirror on the direction of light, which can be applied in various physics experiments and measurements of the speed of light.
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