How do you describe the frequency in the first harmonic? A. The frequency in the first harmonic is at the lowest to create a standing wave pattern. B. The frequency in the first harmonic is at the greatest to create a standing wave pattern. C. The frequency in the first harmonic is greater than both the second harmonic and the third harmonic. D. The frequency in the first harmonic is two times larger than the fundamental frequency.

A string of length L=1.68 m is attached at both ends. The string is parallel to an x-axis and extends from x=0 to x=L. The speed of waves on this string is v= 285.6m/s. For 3. standing waves: a. What is the wavelength of the fundamental mode (n=1 mode), 4 ? b. Whatis the frequency of the fifth harmonic, f;? c. Draw the envelopes of the string displacement wave function for the first three harmonics and label each node with the letter 'N' and antinode with letter 'A'. Please make three separate drawings. d. For the third harmonic, n=3 , what are the three x values where the transverse speed of the string is a maximum, X, Xm2, X3 compared to other xlocations? e. For this string oscillating in the third harmonic (n=3), with a maximum deviation from equilibrium of 2y. = 0.280 cm at points x= xml,X =Xm2,X= X3 , what is the maximum (positive) transverse speed of the string (speed perpendicular to the direction of the string), Max(u,(xmt)) ?

The equation for the displacement of a stationary wave on a string is given by y = 2 (sin 5πt)(cos 6πx), where x and y are in meters, and t is in seconds.  Determine: a.  wave period!  b.  the amplitude of the point P which lies at a distance of 75 cm from the end of the reflection!  c.  the distance between two consecutive stomachs!

A string has a length of 2.50 m and is fixed at the ends. At a frequency of 85.0 Hz, a standing wave with 5 loops is formed.   What is the wavelength of the wave when it is vibrating at the fundamental frequency of the wave? What is the fundamental frequency of the wave? At what frequency would the third overtone occur?