A string of length 80cm and mass 0.2g is attached to one end of a tuning fork with a frequency of 250 Hz. What tension applied to the string will cause it to vibrate in four segments?

The D-string on a properly tuned guitar produces a tone with a fundamental frequency of 146.8 Hz. The oscillating length of a D-string on a certain guitar is 0.64 m. This same length of string is weighed and found have a mass of 1.5×10-3 kg. Part (a) At what tension, in newtons, must the D-string must be stretched in order for it to be properly tuned? Part (b) What is the wavelength, in meters, of the standing wave in the D-string when it is oscillating at its third harmonic (also called its second overtone)? Part (c) Determine the frequency, in hertz, of the third harmonic of the tone produced by the properly tuned D-string. Part (d) The guitarist shortens the oscillating length of the properly tuned D-string by 0.15 m by pressing on the string with a finger. What is the fundamental frequency, in hertz, of the new tone that is produced when the string is plucked?

A 55.0 kg crate is suspended between the floor and the celing using two spring scales, one attached to the ceiling and one to the floor. If the lower scale reads 120 N, what is the reading of the upper scale? Ignore the weights of the scales.

An 80.00 cm guitar string has a mass of 3.25g. It has been tuned so that its fundamental mode of oscillation has a frequency of 256 Hz.   A) What wave speed is required on the string?   B) What string tension is required?   C) What is the wavelength of the sound waves produced in the surrounding air at 20 degrees Celcius?   D) Assume the string is isotropically emitting a total acoustic power of 8.5 mW, determine the sound level 22m away? (assume a point source)