Please answer part B of the question The frequency of vibrations of a vibrating violin string is given by1f =2Lwhere L is the length of the string, T is its tension, and p is its linear density.t(a) Find the rate of change of the frequency with respect to the following.(i) the length (when T and p are constant)(ii) the tension (when L and p are constant)(iii) the linear density (when L and T are constant)(b) The pitch of a note (how high or low the note sounds) is determined by the frequency f. (The higher the frequency, the higher the pitch.) Use the signs of the derivatives in part (a) todetermine what happens to the pitch of a note for the following.(i) when the effective length of a string is decreased by placing a finger on the string so a shorter portion of the string vibratesdf? v0 and L is ---Select--- v= f is ---Select--- v= ---Select--- vdL(ii) when the tension is increased by turning a tuning pegdf? v0 and T is ---Select--- ♥dT» f is ---Select--- v = ---Select--- v(iii) when the linear density is increased by switching to another stringdf?dp0 andis-Select---» f is ---Select--- v---Select--- v

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The frequency of vibrations of a vibrating violin string is given by 21 V P where L is the length of the string, T is its tension, and p is its linear density.t (a) Find the rate of change of the frequency with respect to the following. (1) the length (when T and p are constant) (ii) the tension (when L and p are constant)

The frequency of vibrations of a vibrating violin string is given by 21 V P where L is the length of the string, T is its tension, and p is its linear density.t (a) Find the rate of change of the frequency with respect to the following. (1) the length (when T and p are constant) (ii) the tension (when L and p are constant)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter14: Superposition And Standing Waves

Section: Chapter Questions

Problem 60P: Review. For the arrangement shown in Figure P14.60, the inclined plane and the small pulley are...

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