Answered: In the arrangement shown in the figure…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

In the arrangement shown in the figure below, an object of mass m = 6.0 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 140 Hz, a standing wave with six loops is formed. What must be the linear mass density of the cord?

Use the wavelength illustrated in the diagram and the other given information to calculate the wave speed and then from the wave speed find the linear mass density of the cord. kg/m

(b) How many loops (if any) will result if m is changed to 216 kg? (Enter 0 if no loops form.)

Examine how changing the mass affects the wave speed and wavelength and how that affects the number of loops. loops

(c) How many loops (if any) will result if m is changed to 10 kg? (Enter 0 if no loops form.)
loops