A wire with mass 50.0 g is stretched so that its ends are tied down at points 90.0 cm apart. The wire vibrates in its fundamental mode with frequency 50.0 Hz and with an amplitude at the antinodes of 0.300 cm. a. What is the speed of propagation of transverse waves in the wire? b. Compute the tension in the wire.

A transverse sine wave is moving in the positive x direstion along a string stretched on the x axis. The wave has frequency 440 Hz and wavelength 0.341 m. The string has linear density 0.0032 kg/m. The amplitude in the y direction is 0.006 m. a. Find the velocity of the wave. b. Find the tension in the string. c. Find the maximum velocity of a small section of the string. d. Find the maximum acceleration of a small section of the string.

A wire is 5.00m long and is held in place at both ends. The wire is stretched to a tension of 200N . The string vibrates in its third harmonic at a frequency of 22.0Hz.a. What is the wavelength for this harmonic?b. What is the frequency of the fundamental? c. What is the wave speed? d. What is the mass per length of the wire

A string of length L=1.68 m is attached at both ends. The string is parallel to an x-axis and extends from x=0 to x=L. The speed of waves on this string is v= 285.6m/s. For 3. standing waves: a. What is the wavelength of the fundamental mode (n=1 mode), 4 ? b. Whatis the frequency of the fifth harmonic, f;? c. Draw the envelopes of the string displacement wave function for the first three harmonics and label each node with the letter 'N' and antinode with letter 'A'. Please make three separate drawings. d. For the third harmonic, n=3 , what are the three x values where the transverse speed of the string is a maximum, X, Xm2, X3 compared to other xlocations? e. For this string oscillating in the third harmonic (n=3), with a maximum deviation from equilibrium of 2y. = 0.280 cm at points x= xml,X =Xm2,X= X3 , what is the maximum (positive) transverse speed of the string (speed perpendicular to the direction of the string), Max(u,(xmt)) ?