A standing wave on a stretched string fixed at both ends is described by: y(x,t) = 0.1 %3D sin(2Ttx) cos(100tt). The string has a length L = 1 m. For t> 0, an element on the string located at x = 0.75 cm would have a zero %3D speed for the second time at:

A standing wave on a stretched string fixed at both ends is described by: y(x,t) = 0.1 %3D sin(2Ttx) cos(100tt). The string has a length L = 1 m. For t> 0, an element on the string located at x = 0.75 cm would have a zero %3D speed for the second time at:

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 102P: A wave traveling on a Slinky® that is stretched to 4 m takes 2.4 s to travel the length of the...

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Concept explainers

Stretched string

A stretched string is a wire which is made up of any metal that must have a larger length compared to its thickness. The ends of the wire are fixed, and when they oscillate or are plucked, it produces two reflected transverse waves of the same frequency and same amplitude. The waves or pulses are traveling in alternate directions and superimpose with one another. This waveform is named standing or stationary waves.

Question

A standing wave on a stretched string fixed
at both ends is described by: y(x,t) = 0.1
sin(2rtx) cos(100rtt). The string has a length
L = 1 m. For t > 0, an element on the string
located at x = 0.75 cm would have a zero
speed for the second time at:
O t = 0.025 sec
O t = 0.02 sec
O t= 0.015 sec
O t = 0.01 sec
O t= 0.005 sec

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