In the arrangement shown in the figure below, an object of mass m = 2.00 kg hangs from a cord around a light pulley. The length of the cord between point P and the pulley is L = 2.00 m. (Ignore the mass of the vertical section of the cord.) Vibrator P L m (a) When the vibrator is set to a frequency of 158 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 4.50 kg? (Enter 0 if no loops form.) (c) How many loops (if any) will result if m is changed to 10.0 kg? (Enter 0 if no loops form.)

In the arrangement shown in the figure below, an object of mass m = 2.00 kg hangs from a cord around a light pulley. The length of the cord between point P and the pulley is L = 2.00 m. (Ignore the mass of the vertical section of the cord.) Vibrator P L m (a) When the vibrator is set to a frequency of 158 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 4.50 kg? (Enter 0 if no loops form.) (c) How many loops (if any) will result if m is changed to 10.0 kg? (Enter 0 if no loops form.)

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter16: Waves

Section: Chapter Questions

Problem 131AP: A wave on a string is driven by a string vibrator, which oscillates at a frequency of 100.00 Hz and...

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In the arrangement shown in the figure below, an object of mass m = 2.00 kg hangs from a cord around a light pulley. The length of the cord between point P and the pulley is L = 2.00 m. (Ignore the mass of the vertical section of the cord.) Vibrator fl m (a) When the vibrator is set to a frequency of 158 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 18.0 kg? (Enter 0 if no loops form.) (c) How many loops (if any) will result if m is changed to 14.0 kg? (Enter 0 if no loops form.)
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.) Just need answer to a (a) When the vibrator is set to a frequency of 180 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.) 1 loops(c) How many loops (if any) will result if m is changed to 14 kg? (Enter 0 if no loops form.) 0 loops
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.) a Vibrator m (a) When the vibrator is set to a frequency of 170 Hz, a standing wave with six loops is formed. What must be the linear mass density of the cord? 3.05 10.31 kg/m (b) How many loops (if any) will result if m is changed to 144 kg? (Enter 0 if no loops form.). 1 loops (c) How many loops (if any) will result if m is changed to 10 kg? (Enter 0 if no loops form.) 4 Examine how changing the mass affects the wave speed and wavelength and how that affects the number of loops. loops Need Help? Read it
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As we said, sound waves can be modeled with sine waves. The standard musical pitch is the A440 which means that the musical note A4 has a frequency of 440 Hz. So this note oscillates once every seconds and it could be modeled using the curve y = sin(440- 2nt) = sin(880nt). For each of the following musical notes, what would w be if we wanted to model the sound wave with y = sin(wt)? !! %3D (a) (i) C4, (261.63 Hz (iii) E4, (329.63 Hz) (v) G4, (392 Hz) (ii) D4, (293.66 Hz) (iv) F4, (349.23 Hz) (vi) B4, (493.88 Hz)
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.) Vibrator P н X kg/m L m ii (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? 6895 (b) How many loops (if any) will result if m is changed to 4.50 kg? (Enter 0 if no loops form.) X loops 0 (c) How many loops (if any) will result if m is changed to 14 kg? (Enter 0 if no loops form.) 0 loops