A string of length 1.0m has a mass/length of 2.4 g/m and is under 460N of...

A string of length 1.0m has a mass/length of 2.4 g/m and is under 460N of

tension. It is vibrating in its third harmonic (n = 3).

1. What is the frequency of the standing wave?

The vibrating string produces a sound wave and sits near a half-open tube of length L. The

speed of sound is 343m/s.

2. For what minimum value of L does the sound wave produced by the vibrating

string resonate with the tube (i.e., coincide with one of the allowed frequencies for standing

waves in the tube)?

3. If the tube were replaced by another tube of length 0.80L, how fast and in

what direction (towards or away from the tube) must the vibrating string be moving in order

for the sound wave it produces to resonate with the new tube? Hint: Consider the Doppler

effect.

Solutions

Expert Solution

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

A guitar string has a mass of 3.23 g, a length of 3.18 cm, and is...

A guitar string has a mass of 3.23 g, a length of 3.18 cm, and is under a tension of 980 N. What is the wave speed, fundamental frequency, and the frequencies of the next two harmonics on the string?

A stretched string fixed at each end has a mass of 43.0 g and a length...

A stretched string fixed at each end has a mass of 43.0 g and a length of 7.20 m. The tension in the string is 47.0 N. (a) Determine the positions of the nodes and antinodes for the third harmonic. (Answer from smallest to largest distance from one end of the string.) nodes ______m ______m ______m ______m antinodes ______m ______m ______m (b) What is the vibration frequency for this harmonic? Hz

A ball of mass m is attached to a string of length L. It is swung...

A ball of mass m is attached to a string of length L. It is swung in a vertical circle with enough speed to keep the string taut throughout the motion. Assume the ball travels freely in the circle with negligible loss of mechanical energy. Determine if the following six statements are true or false; e.g., enter TTFFFF. The tension in the string is less at the top of the circle than at the bottom of the circle. The acceleration...

A pendulum consists of a stone with mass m swinging on a string of length L...

A pendulum consists of a stone with mass m swinging on a string of length L and negligible mass. The stone has a speed of v0 when it passes its lowest point. (a) Write an expression for the speed of the stone when the string is at some angle theta with the vertical. (b) What is the greatest angle with the vertical that the string will reach during the stone's motion? (c) If the potential energy of the pendulum-Earth system...

A steel string of length 2.0 meters and mass 15g/m is stretched with a tension of...

A steel string of length 2.0 meters and mass 15g/m is stretched with a tension of 120 N and is fixed at both ends. (i) Write down the wave equation and find the general solution for string oscillations using the method of variable separation. (ii) Find the 1st three natural frequencies and draw the corresponding mode shapes.

A steel wire with mass 21.1 g and length 1.22 m is strung on a bass...

A steel wire with mass 21.1 g and length 1.22 m is strung on a bass so that the distance from the nut to the bridge is 1.10 m. (a) Compute the linear density of the string. kg/m (b) What velocity wave on the string will produce the desired fundamental frequency of the E1 string, 41.2 Hz? m/s (c) Calculate the tension required to obtain the proper frequency. N (d) Calculate the wavelength of the string's vibration. m (e) What...

A 120 g mass on a 2.8-m-long string is pulled 6.3 degrees to one side and...

A 120 g mass on a 2.8-m-long string is pulled 6.3 degrees to one side and released. How long does it take for the pendulum to reach 3.8 degrees on the opposite side?

A particle of mass m moves under the influence of gravity g on the inner surface...

A particle of mass m moves under the influence of gravity g on the inner surface of a smooth cone of half-angle α. The axis of the cone is vertical, with its vertex downward. (a) Find the equation(s) of constraint of the system. (b) Find Lagrange’s equations of motion using the method of undetermined multipliers. (c) Determine the condition on the angular velocity ω such that the particle can describe a horizontal circle at a height h above the vertex.

A clock has an hour hand of length 2.4 cm and a minute hand of length...

A clock has an hour hand of length 2.4 cm and a minute hand of length 3.8 cm. (a) Calculate the position and velocity of the hour hand at noon. (b) Calculate the position and velocity of the minute hand at 12:15.

A simple pendulum has a mass of 0.550 kg and a length of 2.00 m. It...

A simple pendulum has a mass of 0.550 kg and a length of 2.00 m. It is displaced through an angle of 11.0

Subjects