(a)
The speed of the laser beam when the spot of light on the wall is at distance
(a)
Answer to Problem 59P
The speed of the laser beam when the spot of light on the wall is at distance
Explanation of Solution
Let
From the Figure, write the expression for
Here,
Solve equation (I) for
Differentiate the equation (II) with respect to time, to find the speed of the laser spot at the wall.
From the Figure, using Pythagorean write the expression for
`
If the mirror turns through angle
Use equation (IV) and (V) in (III).
Conclusion:
Therefore, the speed of the laser beam when the spot of light on the wall is at distance
(b)
The value of the
(b)
Answer to Problem 59P
The value of the
Explanation of Solution
The speed of the laser beam when the spot of light on the wall is at distance
Conclusion:
Therefore, the value of the
(c)
The minimum value for the speed.
(c)
Answer to Problem 59P
The minimum value for the speed is
Explanation of Solution
The speed of the laser beam when the spot of light on the wall is at distance
Substitute,
Conclusion:
Therefore, the minimum value for the speed is
(d)
The maximum speed of the spot on the wall.
(d)
Answer to Problem 59P
The maximum speed of the spot on the wall is
Explanation of Solution
The maximum speed occurs when the reflected beam arrives at the corner of the room.
Substitute,
Conclusion:
Therefore, the maximum speed of the spot on the wall is
(e)
The time interval in which the spot changes from its minimum to maximum speed.
(e)
Answer to Problem 59P
The time interval in which the spot changes from its minimum to maximum speed is
Explanation of Solution
The reflected laser beam rotates through
The time interval between the minimum and maximum speed can b e calculated as follows,
Conclusion:
Substitute,
Therefore, the time interval in which the spot changes from its minimum to maximum speed is
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Chapter 25 Solutions
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