Chapter 16, Problem 58 Chapter 16, Problem 58 In the figure, a string, tied to a

Question

Chapter 16, Problem 58 Chapter 16, Problem 58 In the figure, a string, tied to a sinusoidal oscillator atPand running over a support atQ, is stretched by a block of mass m. SeparationL= 0.8 m, linear density?= 1.2 g/m, and the oscillator frequencyf= 110 Hz. The amplitude of the motion atPis small enough for that point to be considered a node. A node also exists atQ. (a)What massmallows the oscillator to set up the fourth harmonic on the string? (b)What standing wave mode, if any, can be set up ifm= 4 kg (Give 0 if the mass cannot set up a standing wave)?

Explanation / Answer

f=nv/2l and v=root(T/)

substituting n=4, f=110, l=0.8,   =1.2/1000

a)0.24 kg

b)m=4 n=0.97

answer is 0 cos n<1.

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