Concept explainers
The lowest new fundamental frequency.
Answer to Problem 79AP
The lowest new fundamental frequency is
Explanation of Solution
Write the relation between mass and density.
Here,
Write the expression for tension in the wire.
Here,
Write the expression for buoyant force exerted by water on the copper object
Here,
Write the relation between frequency, wavelength and velocity for string
Here,
Write the relation between frequency, wavelength and velocity for changed string.
Here,
Write the expression for speed of wave on the string.
Here,
Write the expression for speed of wave on the new string.
Here,
Conclusion:
Substitute equation (I) in equation (II)
The reduced tension of the object, when submerged in water is,
Substitute the equation (III) and (VIII) in above equation.
Substitute equation (VI) in equation (IV) and equation (VII) in (V).
Divide the above two equations.
Substitute the equation (VIII) and (IX) in above equation and rearrange for
Substitute
Therefore, the lowest new fundamental frequency is
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Chapter 18 Solutions
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
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