7. In the arrangement shown below, an object can be hung from a string (with linear mass density μ = 0.002 kg/m) that passes over a light pulley. The string is connected to a vibrator (of constant frequency f), and the length of the string between point P and the pulley is L = 2 m. When the mass m of the object is either 16 kg or 25 kg, standing waves are observed; no standing waves are observed with any mass between these values, however. Vibrator P L ∞ ∞∞ μl m (a) What is the frequency of the vibrator? Note: The greater the tension in the string, the smaller the number of nodes in the standing wave. (b) What is the largest object mass for which standing waves could be observed?

7. In the arrangement shown below, an object can be hung from a string (with linear mass density μ = 0.002 kg/m) that passes over a light pulley. The string is connected to a vibrator (of constant frequency f), and the length of the string between point P and the pulley is L = 2 m. When the mass m of the object is either 16 kg or 25 kg, standing waves are observed; no standing waves are observed with any mass between these values, however. Vibrator P L ∞ ∞∞ μl m (a) What is the frequency of the vibrator? Note: The greater the tension in the string, the smaller the number of nodes in the standing wave. (b) What is the largest object mass for which standing waves could be observed?

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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Concept explainers

Stretched string

A stretched string is a wire which is made up of any metal that must have a larger length compared to its thickness. The ends of the wire are fixed, and when they oscillate or are plucked, it produces two reflected transverse waves of the same frequency and same amplitude. The waves or pulses are traveling in alternate directions and superimpose with one another. This waveform is named standing or stationary waves.

Question

7. In the arrangement shown below, an object can be hung from a string (with linear mass
density μ = 0.002 kg/m) that passes over a light pulley. The string is connected to a
vibrator (of constant frequency f), and the length of the string between point P and the
pulley is L = 2 m. When the mass m of the object is either 16 kg or 25 kg, standing
waves are observed; no standing waves are observed with any mass between these values,
however.
Vibrator
X
P
L
o
μ
∞
m
(a) What is the frequency of the vibrator? Note: The greater the tension in the string,
the smaller the number of nodes in the standing wave.
(b) What is the largest object mass for which standing waves could be observed?

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