A Thin Taut String Is Fixed at Both Ends and Stretched

question 10

Short Answer

A thin taut string is fixed at both ends and stretched along the horizontal x-axis with its left end at x = 0. It is vibrating in its third OVERTONE, and the equation for the vertical displacement of any point on the string is y(x,t) = (1.22 cm) sin[(14.4 m^-1)x] cos[(166 rad/s)t].
(a) What are the frequency and wavelength of the fundamental mode of this string?
(b) How long is the string?
(c) How fast do waves travel on this string?

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Definitions:

Corporate Culture

The shared values, beliefs, and practices that define the character and behavior of an organization and its members.

Corporate Cults

Organizations that cultivate intense employee loyalty and devotion, sometimes to the point of excluding outside influences and fostering an insular culture.

Subcultures

Distinct cultural groups within a larger culture, each with its own values, practices, and beliefs that differentiate them from the broader culture.

Adaptive Cultures

Corporate cultures that are flexible and responsive to changes in the external environment, facilitating innovation and change within the organization.