In the figure, a string, tied to a sinusoidal oscillator at P and running over a support at Q, is stretched by a block of mass m. Separation L = 1.1 m, linear density u = 0.8 g/m, and the oscillator frequency f = 130 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. (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 = 4 kg (Give 0 if the mass cannot set up a standing wave)?

University Physics Volume 1
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Chapter15: Oscillations
Section: Chapter Questions
Problem 68CP: A suspension bridge oscillates with an effective force constant of 1.00108 N/m . (a) How much energy...
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In the figure, a string, tied to a sinusoidal oscillator at P and running over a support at Q, is stretched by a block of mass m.
Separation L = 1.1 m, linear density u = 0.8 g/m, and the oscillator frequency f = 130 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.
(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 = 4 kg (Give 0 if the mass cannot set up a standing wave)?
Oscillator
P.
0.417
(a) Number
Units
kg
No units
(b) Number
Units
Transcribed Image Text:In the figure, a string, tied to a sinusoidal oscillator at P and running over a support at Q, is stretched by a block of mass m. Separation L = 1.1 m, linear density u = 0.8 g/m, and the oscillator frequency f = 130 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. (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 = 4 kg (Give 0 if the mass cannot set up a standing wave)? Oscillator P. 0.417 (a) Number Units kg No units (b) Number Units
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