The string in FIGURE P16.59 has linear density μ. Find an expression in terms of M, μ, and θ for the speed of waves on the string.

A uniform cable 2.0-m long hangs vertically under its own weight.

(a) Determine the speed of waves on the cable as a function the distance y (positive down from the top of the cable, where y = 0 ).

A 2 m long string is arranged as shown in the figure below. If the mass of the string is 0.5 kg, what would the frequency be of a wave with a 2 cm wavelength?

A rope with length 2.50 m and mass 0.10 kg is stretched and pulled to create transverse waves of frequency 40.0 Hz and wavelength of 0.750 m. How much tension is exerted on the rope?

An oscillating blade creates waves on a string. If the amplitude of the wave doubles, what happens to the wavelength λ and v?