A nylon string fixed at both ends vibrates with a fundamental frequency of 196 Hz. Which of the following would have a higher fundamental frequency than this string? An indentical string that is longer. A nylon string with twice the diameter, but the same length. An indentical string that is tightened to a higher tension. An identical string that is given a larger amplitude of vibration.

A string oscillates according to the equation y' = (0.752 cm) sin[(7/5.0 cm-1)x] cos[(29.6 t s )t]. What are the (a) amplitude and (b) speed of the two waves (identical except for direction of travel) whose superposition gives this oscillation? (c) What is the distance between nodes? (d) What is the transverse speed of a particle of the string at the position x = 1.74 cm when t = 1.17 s? (a) Number Units (b) Number Units (c) Number Units (d) Number i Units

The G string on a guitar is a 0.46 mm diameter steel string with a linear density of 1.3 g/m. When the string is properly tuned to 196 Hz, the wave speed of the string is 250 m/s. Tuning is done by slowly tightening the string, and stretching it in the process. By how many mm does a 75 cm-long G string stretch when it is first tuned? [Hint: Look up relevant properties of steel as needed.]

A string is connected to an oscillator and then laid horizontally, with the other end draped over a pulley and a mass of 200g is hung from that end. The string is found to have a mass of 15g and a length of 1.2m. The oscillator is turned on and the frequency is tuned until a standing wave is seen. You see 6 full wavelengths along the 1.2m length of the string. The oscillator frequency is set to 63Hz. What is the speed of the wave on the string based on your measurements? Give your answer in m/s and to 1 decimal place.

A guitar string has a mass per length of 2.33 x 10 kg/m and a tundamental frequency of 146.8 Hz when it is under a tonsion of 82 4N. The string breaks, and its owner has only a spare string of mass per length 6.61 x 10 kg/m.

Transverse waves are being generated on a rope under constant tension. Determine the factor by which the required power is changed in each of the following situations. (a) The angular frequency remains constant, and the length of the rope is doubled. final/initial = (b) Both the amplitude and the wavelength are doubled. final/initial = (c) The amplitude is halved, and the angular frequency is doubled. final/initial = (d) Both the length of the rope and the wavelength are doubled. final/initial =