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In the figure below, a cord is attached to an oscillator and wrapped around a li

ID: 2283461 • Letter: I

Question

In the figure below, a cord is attached to an oscillator and wrapped around a light pully where it is attached to a block with a mass, m = 4.0 kg. The length of the cord between point P and the pulley is L = 1.5 m.

(a) When the vibrator is set to a frequency of 155 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 5.76 kg?
_______loops

(c) How many loops (if any) will result if m is changed to 9.00 kg?
_______loops

Explanation / Answer

(a) When the vibrator is set to a frequency of 155 Hz, a standing wave with six loops is formed. What must be the linear mass density of the cord?
_____129.5_____kg/m

(b) How many loops (if any) will result if m is changed to 5.76 kg?
____6.5___loops

(c) How many loops (if any) will result if m is changed to 9.00 kg?
____12.3___loops