In the arrangement shown in the figure below, an object of mass m = 2.0 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.) The left end of a horizontal cord of density ? is connected to a vibrator at point P. A distance L from point P, the cord goes over a pulley and hangs down. A block of mass m connects to the hanging end of the cord. The vibrator causes the portion of cord between point P and the pulley to oscillate such that standing waves are generated. (a) When the vibrator is set to a frequency of 130 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 72.0 kg? (Enter 0 if no loops form.) loops (c) How many loops (if any) will result if m is changed to 14 kg? (Enter 0 if no loops form.) loops
In the arrangement shown in the figure below, an object of mass m = 2.0 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.) The left end of a horizontal cord of density ? is connected to a vibrator at point P. A distance L from point P, the cord goes over a pulley and hangs down. A block of mass m connects to the hanging end of the cord. The vibrator causes the portion of cord between point P and the pulley to oscillate such that standing waves are generated. (a) When the vibrator is set to a frequency of 130 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 72.0 kg? (Enter 0 if no loops form.) loops (c) How many loops (if any) will result if m is changed to 14 kg? (Enter 0 if no loops form.) loops
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In the arrangement shown in the figure below, an object of mass m = 2.0 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.)
The left end of a horizontal cord of density ? is connected to a vibrator at point P. A distance L from point P, the cord goes over a pulley and hangs down. A block of mass m connects to the hanging end of the cord. The vibrator causes the portion of cord between point P and the pulley to oscillate such that standing waves are generated.
(a) When the vibrator is set to a frequency of 130 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 72.0 kg? (Enter 0 if no loops form.)
loops
(c) How many loops (if any) will result if m is changed to 14 kg? (Enter 0 if no loops form.)
loops
kg/m
(b) How many loops (if any) will result if m is changed to 72.0 kg? (Enter 0 if no loops form.)
loops
(c) How many loops (if any) will result if m is changed to 14 kg? (Enter 0 if no loops form.)
loops
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