harmonic is being played on the moving guitar string

A string consists of two parts attached at x=0. The right part of the string has mass per unit length 12.8 g/m and the left part has mass per unit length 3.2g/m. The string tension is T. If a wave of amplitude 3.5cm travels along the left part of the string, what is the amplitude of the wave that is transmitted to the right part of the string?

At t = 0 s a small "upward" (positive y) pulse centred at x = 4.0 m is moving to the right on a string with fixed ends at x = 0.0 m and x = 10.0 m. The wave speed on the string is 4.5 m/s. At what time will the string next have the same appearance that it did at t = 0 s ?

A tube 0.8 m long is closed at one end.  A stretched wire is placed near the open end.  The wire is 0.33 m long and has a mass of 9.6 g.  It is fixed at both ends and oscillates in its fundamental model.  By resonance, the vibrating string causes the air column in the tube to oscillate at the column's fundamental frequency.  What is the tension in the wire.  Hint:  Determine the wavelength of the air column using the relationships in 9.13.2 on page 31 of your notes.  Determine the frequency using a speed of sound of 343 m/s. The frequency of the string will be the same as the frequency of the air column.  Determine the string wavelength based upon the length to wavelength relationships on page 30.  Determine the required string wave speed based upon the string wavelength and frequency.  Determine the string tension required to achieve string wave speed.

A flagpole consists of a flexible, 2.65 m tall fiberglass pole planted in concrete. The bottom end of the flagpole is fixed in position, but the top end of the flagpole is free to move. What is the lowest frequency fi of the standing wave formed by the flagpole, if the wave propagation speed in the fiberglass is 2730 m/s? fi = Hz

What is the speed of a transverse wave on the rope if the mass were increased to 3.00 kg? What is the wavelength of a transverse wave on the rope if the mass were increased to 3.00 kg?

Two identical guitar strings are prepared such that they have the same length (0.68) and are under the same amount of tension. The first string is plucked at one location, primarily exciting the first harmonic. The other string is plucked in a different location, primarily exciting the fourth harmonic. The resulting sounds give rise to a beat frequency of 324Hz. What is the wave propagation speed on the guitar strings? wave propagation speed:   m/s

A flagpole consists of a flexible, 2.17 m tall fiberglass pole planted in concrete. The bottom end of the flagpole is fixed in position, but the top end of the flagpole is free to move. What is the lowest frequency standing wave that can be formed on the flagpole if the wave propagation speed in the fiberglass is 2730 m/s? Suppose that a standing wave on the flagpole gives rise to a sound wave of the same frequency. A person would be able to hear the sound produced by the lowest frequency standing wave, previously calculated, because the average human being can detect sounds at frequencies between 20.0 Hz and 20.0 kHz. A nearby mouse, however, can only detect frequencies between 1.01 kHz and 90.0 kHz. What is the lowest flagpole harmonic that the mouse can hear?

I need help with parts e and f please. I know that a) 0.288m, b) 180 m/s, c) 162 N, and d) 125Hz.

What is the frequency of the fundamental? What is the wave speed?