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= In the arrangement shown below, an object can be hung from a string (with linear mass density μ and the length of the string between point P and the pulley is L = 1.80 m. When the mass m of the object is either 25.0 kg or 36.0 kg, standing waves are observed; no standing waves are observed with any 0.00200 kg/m) that passes over a light pulley. The string is connected to a vibrator (of constant frequency f), mass between these values, however. Vibrator М m (a) What is the frequency of the vibrator (in Hz)? (Note: The greater the tension in the string, the smaller the number of nodes in the standing wave.) 420 X Assume there are n nodes when mass 36.0 kg is used and n+1 nodes when mass 25.0 kg is used. Hz (b) What is the largest object mass (in kg) for which standing waves could be observed? 36 X How is the velocity of the wave on the string related to the frequency of the wave and its wavelength? kg (c) What If? What would the linear mass density of the string have to be (in kg/m) if 36.0 kg is the largest mass for which standing waves are observed? 0.00268 × kg/m (d) For what values of m (in kg) would standing waves with the next four higher numbers of nodes be observed in this case? m2 9 kg m3 MA m5 == 4 = 2.1 1.3 kg x kg X kg Need Help? Read It Watch It

= In the arrangement shown below, an object can be hung from a string (with linear mass density μ and the length of the string between point P and the pulley is L = 1.80 m. When the mass m of the object is either 25.0 kg or 36.0 kg, standing waves are observed; no standing waves are observed with any 0.00200 kg/m) that passes over a light pulley. The string is connected to a vibrator (of constant frequency f), mass between these values, however. Vibrator М m (a) What is the frequency of the vibrator (in Hz)? (Note: The greater the tension in the string, the smaller the number of nodes in the standing wave.) 420 X Assume there are n nodes when mass 36.0 kg is used and n+1 nodes when mass 25.0 kg is used. Hz (b) What is the largest object mass (in kg) for which standing waves could be observed? 36 X How is the velocity of the wave on the string related to the frequency of the wave and its wavelength? kg (c) What If? What would the linear mass density of the string have to be (in kg/m) if 36.0 kg is the largest mass for which standing waves are observed? 0.00268 × kg/m (d) For what values of m (in kg) would standing waves with the next four higher numbers of nodes be observed in this case? m2 9 kg m3 MA m5 == 4 = 2.1 1.3 kg x kg X kg Need Help? Read It Watch It

Principles of Physics: A Calculus-Based Text
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 below, an object can be hung from a string (with linear mass density μ and the length of the string between point P and the pulley is L = 1.80 m. When the mass m of the object is either 25.0 kg or 36.0 kg, standing waves are observed; no standing waves are observed with any 0.00200 kg/m) that passes over a light pulley. The string is connected to a vibrator (of constant frequency f), mass between these values, however. Vibrator М m (a) What is the frequency of the vibrator (in Hz)? (Note: The greater the tension in the string, the smaller the number of nodes in the standing wave.) 420 X Assume there are n nodes when mass 36.0 kg is used and n+1 nodes when mass 25.0 kg is used. Hz (b) What is the largest object mass (in kg) for which standing waves could be observed? 36 X How is the velocity of the wave on the string related to the frequency of the wave and its wavelength? kg (c) What If? What would the linear mass density of the string have to be (in kg/m) if 36.0 kg is the largest mass for which standing waves are observed? 0.00268 × kg/m (d) For what values of m (in kg) would standing waves with the next four higher numbers of nodes be observed in this case? m2 9 kg m3 MA m5 == 4 = 2.1 1.3 kg x kg X kg Need Help? Read It Watch It
Transcribed Image Text:= In the arrangement shown below, an object can be hung from a string (with linear mass density μ and the length of the string between point P and the pulley is L = 1.80 m. When the mass m of the object is either 25.0 kg or 36.0 kg, standing waves are observed; no standing waves are observed with any 0.00200 kg/m) that passes over a light pulley. The string is connected to a vibrator (of constant frequency f), mass between these values, however. Vibrator М m (a) What is the frequency of the vibrator (in Hz)? (Note: The greater the tension in the string, the smaller the number of nodes in the standing wave.) 420 X Assume there are n nodes when mass 36.0 kg is used and n+1 nodes when mass 25.0 kg is used. Hz (b) What is the largest object mass (in kg) for which standing waves could be observed? 36 X How is the velocity of the wave on the string related to the frequency of the wave and its wavelength? kg (c) What If? What would the linear mass density of the string have to be (in kg/m) if 36.0 kg is the largest mass for which standing waves are observed? 0.00268 × kg/m (d) For what values of m (in kg) would standing waves with the next four higher numbers of nodes be observed in this case? m2 9 kg m3 MA m5 == 4 = 2.1 1.3 kg x kg X kg Need Help? Read It Watch It
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