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

A block-spring system has a maximum restoring force Fmax 0.1 N. If the amplitude of the motion is A = 0.01 m and the mass of the block is m-100 g then the angular frequency w is equal to %3D 20 rad/s 10 rad/s O 1.25 rad/s O 2.5 rad/s O 5 rad/s A traveling wave on a taut string with a tension force T, is given by the wave %3D function: y(x,t) = 0.05sin(2Ttx-100Tt), where x and y are in meters and t is in seconds. If the linear mass density of the string is given by 3 0.01 kg/m, then

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.]

Each string on a violin is tuned to a frequency 1 times that of its neighbor. The four equal-length strings are to be placed under the same tension; what must be the mass per unit length of each string relative to that of the lowest string?

Two vibrating springs of the same material but lengths L and 2L have radii 2r and r respectively. They are stretched under the same tension. Both the strings vibrate in their fundamental modes, one of the lengths L with frequency f1 and the other with frequency f2. The ration is given by? a) 2 b) 4 c) 8 d) 1

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.

A taut string for which μ = 5x10-2 kg/m is under a tension of 80 N. (a) How much power must be supplied to the string to generate sinusoidal waves at a frequency of 60 Hz and an amplitude of 6 cm? (b) if the string is to transfer energy at a rate of 1000 W? What must be the required amplitude if all other parameters remain the same?

In the arrangement shown in Figure , an object can be hung from a string (with linear mass density μ = 0.002 00 kg/m) that passes over a light pulley. The string is connected to a vibrator (of constant frequency f), and the length of the string between point P and the pulley is L = 2.00 m. When the mass m of the object is either 16.0 kg or 25.0 kg, standing waves are observed; no standing waves are observed with any mass between these values, however, (a) What is the frequency of the vibrator? Note: The greater the tension in the string, the smaller the number of nodes in the standing wave, (b) What is the largest object mass for which standing waves could be observed?