In the arrangement shown in Figure P14.40, an object of mass m = 5.0 kg hangs from a cord around a light pulley. The length of the cord between point P and the pulley is L = 2.0 m.(a) When the vibrator is set to a frequency of 150 Hz, a standing wave with six loops is formed. What must be the linear mass density of the cord?(b) How many loops (if any) will result if m is changed to 45 kg?(c) How many loops (if any) will result if m is changed to 10 kg?

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 18P
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In the arrangement shown in Figure P14.40, an object of mass m = 5.0 kg hangs from a cord around a light pulley. The length of the cord between point P and the pulley is L = 2.0 m.

(a) When the vibrator is set to a frequency of 150 Hz, a standing wave with six loops is formed. What must be the linear mass density of the cord?

(b) How many loops (if any) will result if m is changed to 45 kg?

(c) How many loops (if any) will result if m is changed to 10 kg?

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