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A Thin Taut String Is Fixed at Both Ends and Stretched

question 49

Essay

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:

Relative Size

A perceptual cue that allows the determination of depth and distance by comparing the size of objects with known sizes.

Retinal Disparity

The slight difference in the visual images that each eye perceives because of the different angles in which each eye views the world.

Accommodation

Accommodation in psychology refers to the cognitive process of revising existing cognitive schemas, perceptions, and understanding so that new information can be incorporated.

Interposition

A visual cue in depth perception where one object partially covers another, indicating that the covering object is closer to the observer.

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