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:L
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