The wave function for a standing wave on a string of linear mass density u = 0.2 kg/m, is given by y(x,t) = 0.05 sin(4rtx)cos(60rt), where x and y are in meters and t is in seconds. At what time would an element of the string, located at x 0.1 m, has its transverse velocity v_y = v_(y,max)/2? O t= T/60 sec O t= n/360 sec O t= 1/360 sec t = 1/60 sec

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter13: Continuous Systems; Waves
Section: Chapter Questions
Problem 13.20P
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The wave function for a standing wave on a
string of linear mass density u = 0.2 kg/m, is
given by y(x,t) = 0.05 sin(4Ttx)cos(60rtt),
where x and y are in meters and t is in
seconds. At what time would an element of
the string, located at x 0.1 m, has its
transverse velocity v_y = v_(y,max)/2?
O t= T/60 sec
O t= n/360 sec
O t= 1/360 sec
t = 1/60 sec
Transcribed Image Text:The wave function for a standing wave on a string of linear mass density u = 0.2 kg/m, is given by y(x,t) = 0.05 sin(4Ttx)cos(60rtt), where x and y are in meters and t is in seconds. At what time would an element of the string, located at x 0.1 m, has its transverse velocity v_y = v_(y,max)/2? O t= T/60 sec O t= n/360 sec O t= 1/360 sec t = 1/60 sec
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