Concept explainers
(a)
The maximum displacement and maximum speed of a point on the string a
(a)
Explanation of Solution
Given:
The wave function of standing wave is given as
Formula used:
Write expression for wave function as maximum displacement.
Differentiate above expression for
Calculation:
Substitute
Substitute
Conclusion:
Thus, the maximum displacement is
(b)
The maximum displacement and maximum speed of a point on the string a
(b)
Explanation of Solution
Given:
The wave function of standing wave is given as
Formula used:
Write expression for wave function as maximum displacement.
Differentiate above expression for
Calculation:
Substitute
Substitute
Conclusion:
Thus, the maximum displacement is
(c)
The maximum displacement and maximum speed of a point on the string a
(c)
Explanation of Solution
Given:
The wave function of standing wave is given as
Formula used:
Write expression for wave function as maximum displacement.
Differentiate above expression for
Calculation:
Substitute
Substitute
Conclusion:
Thus, the maximum displacement is
(d)
The maximum displacement and maximum speed of a point on the string a
(d)
Explanation of Solution
Given:
The wave function of standing wave is given as
Formula used:
Write expression for wave function as maximum displacement.
Differentiate above expression for
Calculation:
Substitute
Substitute
Conclusion:
Thus, the maximum displacement is
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Chapter 16 Solutions
Physics For Scientists And Engineers Student Solutions Manual, Vol. 1
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