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 = 1.2 m, linear density u = 1.6 g/m, and the oscillator frequency f = 200 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 3 kg (Give 0 if the mass cannot set up a standing wave)? Oscillator

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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= 1.2 m, linear density u = 1.6 g/m, and the oscillator frequency f= 200 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 3 kg (Give 0 if the mass cannot set up a standing wave)?
Oscillator
(a) Number
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= 1.2 m, linear density u = 1.6 g/m, and the oscillator frequency f= 200 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 3 kg (Give 0 if the mass cannot set up a standing wave)? Oscillator (a) Number Units (b) Number Units
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