In the arrangement shown in the figure below, an object of mass m = 4.0 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. (Ignore the mass of the vertical section of the cord.) Vibrator - (a) When the vibrator is set to a frequency of 120 Hz, a standing wave with six loops is formed. What must be the linear mass density of the cord? |× kg/m (b) How many loops (if any) will result if m is changed to 144 kg? (Enter 0 if no loops form.) X loops (c) How many loops (if any) will result if m is changed to 14 kg? (Enter 0 if no loops form.) X loops

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Chapter1: Units, Trigonometry. And Vectors
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In the arrangement shown in the figure below, an object of mass m = 4.0 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.
(Ignore the mass of the vertical section of the cord.)
Vibrator
(a) When the vibrator is set to a frequency of 120 Hz, a standing wave with six loops is formed. What must be the linear mass density of the cord?
x kg/m
(b) How many loops (if any) will result if m is changed to 144 kg? (Enter 0 if no loops form.)
x loops
(c) How many loops (if any) will result if m is changed to 14 kg? (Enter 0 if no loops form.)
x loops
Transcribed Image Text:In the arrangement shown in the figure below, an object of mass m = 4.0 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. (Ignore the mass of the vertical section of the cord.) Vibrator (a) When the vibrator is set to a frequency of 120 Hz, a standing wave with six loops is formed. What must be the linear mass density of the cord? x kg/m (b) How many loops (if any) will result if m is changed to 144 kg? (Enter 0 if no loops form.) x loops (c) How many loops (if any) will result if m is changed to 14 kg? (Enter 0 if no loops form.) x loops
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