In the figure, a string, tied to a sinusoidal oscillator at Pand running over a support at Q, is stretched by a block of mass m. Separation L 1.3 m, linear density u= 1.1 g/m, and the oscillator frequency f= 120 Hz. The amplitude of the motion at P is small enough for that point to be considered a node. A node also exists at Q. %3D %3D (a) What mass m allows the oscillator to set up the fourth harmonic on the string? (b) What standing wave mode, if any, can be set up if m = 1 kg (Give O if the mass cannot set up a standing wave)? %3D Oscillator L- Units (a) Number i Units (b) Number

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter13: Continuous Systems; Waves
Section: Chapter Questions
Problem 13.9P
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In the figure, a string, tied to a sinusoidal oscillator at Pand running over a support at Q, is stretched by a block of mass m. Separation L
1.3 m, linear density u= 1.1 g/m, and the oscillator frequency f= 120 Hz. The amplitude of the motion at P is small enough for that
point to be considered a node. A node also exists at Q.
%3D
%3D
(a) What mass m allows the oscillator to set up the fourth harmonic on the string?
(b) What standing wave mode, if any, can be set up if m = 1 kg (Give O if the mass cannot set up a standing wave)?
%3D
Oscillator
L-
Units
(a) Number i
Units
(b) Number
Transcribed Image Text:In the figure, a string, tied to a sinusoidal oscillator at Pand running over a support at Q, is stretched by a block of mass m. Separation L 1.3 m, linear density u= 1.1 g/m, and the oscillator frequency f= 120 Hz. The amplitude of the motion at P is small enough for that point to be considered a node. A node also exists at Q. %3D %3D (a) What mass m allows the oscillator to set up the fourth harmonic on the string? (b) What standing wave mode, if any, can be set up if m = 1 kg (Give O if the mass cannot set up a standing wave)? %3D Oscillator L- Units (a) Number i Units (b) Number
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