In this lesson, we will learn how to determine the resonant oscillation frequency of a taut string and to describe its harmonic oscillation modes.

Q1:

The diagram shows the standing waves that are produced by a string fixed at one end when the free end is oscillated at either of two different frequencies. The string is 2.5 m long and the speed of the traveling waves along the string is 7.5 m/s.

What is the frequency of the oscillation that produces the standing wave shown in red? Answer to one decimal place.

What is the frequency of the oscillation that produces the standing wave shown in blue? Answer to one decimal place.

Q2:

A string is held under tension at its fixed end, and its free end is oscillated. The string is 3.5 m long and has a mass of 0.12 kg. The fixed end of the string is held with a tension of 125 N. Find the lowest oscillation frequency at which the string produces a standing wave. Give your answer to the nearest hertz.

Q3:

A string is held under tension at its fixed end, and its free end is oscillated. The string is 2.5 m long and has a mass of 0.085 kg. The lowest oscillation frequency at which the string produces a standing wave is 12 Hz. Find the tension holding the fixed end of the string. Answer to the nearest newton.

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