1.) Normal Modes a.) A guitar string fixed at both ends has a length of 63.5 cm and a mass of 1.41 g. A tension of 205 N is applied to the string. Calculate the velocity of waves traveling along the string and the frequency of the second harmonic (n = 2). How many antinodes does the string contain when it supports the fourth harmonic (n = 4) normal mode? b.) A 65.0 cm long tube (closed at one end) produces three harmonics. Determine an average value for the speed of sound inside the tube. Use the equation to estimate the molar mass of the gas inside the tube. (R= 8.314 J/K mol, y = 1.40, T = 295 K) f5 = 650 Hz f = 920 Hz fg = 1180 Hz YRT V= VM c.) When a wave is transmitted from one medium to another, the frequency does not change. True or False?

A cable is stretched between supports 15.0 m apart. The tension is 58.0 N. A wave pulse takes 0.950 s to travel from one end of the cable to the other and back. What is the mass of the cable? i kg

On a string a sinusoidal wave propagates with a maximum speed of vm and an amplitude of wave A. Points along the string that deviate by A/2 have a speed of ... Note : option is in the picture

1. A brother and sister make a home-made telephone using a string tied between two tin cans. The string is 9.5 m long, has a mass of 32 g, and is pulled taut with a tension of 8.6 N. a. How much time does it take for a wave to travel from one end of the string to the other? b. Suppose the tension were increased. What effect, if any, would this have on the wave's travel time?

A piece of string AB is 7 m long with end B left free to move.  A is vibrated harmoniously up and down so that it travels on a string with a speed of 20 m/s.  If the 5th node is 4 m from the origin of the vibration, calculate: a.  the wavelength that propagates on the rope b.  the frequency of the resulting wave

One end of a horizontal rope is attached to a prong of an electrically driven tuning fork that vibrates the rope transversely at 120 Hz. The other end passes over a pulley and supports a 1.50 kg mass. The linear mass density of the rope is 0.0550 kg/m. A.) What is the speed of a transverse wave on the rope? B.) What is the wavelength? C.) How would your answers to A and B change is the mass were increased to 3.00 kg?

A piano wire of linear density 12 g/m has a length 2 m. It is stretched with a force of 7000N. A. What is the third harmonic of vibation of this wire? Draw a diagram. B. By what factor do you have to change the tension to get a fundamental mode at the same frequency.

Problem 1: Wave Resonance Explorationa. You are conducting an experiment to explore resonance in a string fixed at both ends. The string has a tension of 200 N and a linear density of 0.02 kg/m. Calculate the first three resonant frequencies for the string. b. The same string from part (a) is now immersed in water. Determine how the change in medium affects the resonant frequencies.