A long and uniform string of mass density 0.05 kg/m is pulled with a force of 200 N. The string displaced from equilibrium so that two waves propagate on the string simultaneously, given by (z.t)-(6.2 mm)cos(kx-ut) (r.)-(0.3 mm) cos(kar-wat) Wherer is in seconds and the wavelength of the first wave (p.(r.)) is 1.2 cm. and the wavelength of the second wave (g(x, t)) is 4.2 cm 4 What is the strings vertical velocity (in m/s) at point x 4.1 m at instant -4.1 a? Hint: Calculate all the values inside the sine directly and not each quantity separately.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter16: Waves
Section: Chapter Questions
Problem 113P: A string is fixed at both end. The mass of the string is 0.0090 kg and the length is 3.00 m. The...
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A long and uniform string of mass density 0.05 kg/m is pulled with a force of 200 N. The string displaced from equilibrium so that two waves propagate
on the string simultaneously, given by:
(z.t) (6.2 mm)cos(kx)
(1.1)=(0.3 mm)cos(k₂z-w₂)
Where t is in seconds and the wavelength of the first wave (y(r. t)) is 1.2 cm. and the wavelength of the second wave (g(xt)) is 4.2 cm.
4
What is the strings vertical velocity (in m/s) at point x 4.1 m at instant (-4.14?
Hint: Calculate all the values inside the sine directly and not each quantity separately.
Transcribed Image Text:A long and uniform string of mass density 0.05 kg/m is pulled with a force of 200 N. The string displaced from equilibrium so that two waves propagate on the string simultaneously, given by: (z.t) (6.2 mm)cos(kx) (1.1)=(0.3 mm)cos(k₂z-w₂) Where t is in seconds and the wavelength of the first wave (y(r. t)) is 1.2 cm. and the wavelength of the second wave (g(xt)) is 4.2 cm. 4 What is the strings vertical velocity (in m/s) at point x 4.1 m at instant (-4.14? Hint: Calculate all the values inside the sine directly and not each quantity separately.
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