You may wish to review the section of our text on wave motion befo Activity moti

Question

You may wish to review the section of our text on wave motion befo Activity motion before Activity 1-1: Wave Speed on a String Suppose you have a string x meters in length and one end of it is harmonic motion so that the string is vibrating at its fundamental What s t 1) this wavelength and the frequ 2) What is the velocity of this wave in terms of 3) We also know that the velocity of a transverse wave in string can be writtenin linear density of the string and the tension in the string using the formula terms of the where Frew is the tension in the string and is the linear density of the string in kg/m Combine the above equation with the equation from question (2) and solve for the force tension required to make a string vibrate at its fundamental frequency in terms of the le of the string, L, the linear density, 4, and the frequency of the oscillator, f. FTEN Activity 1-2: Creating the Fundamental Mode of Vibration _ 1 meter- String oscillator

Explanation / Answer

1) length of wave will be = 4x.

At the fixed end node will form because displacement of string particle at fixed end will be zero and at the free end antinode will form because displacement of string particle at free end will be maximum.

distance between consecutive nodes and antinodes is /4.

so /4 = x

so = 4x

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