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(4Tx)cos(60rt), where x and y are in meters and t is in seconds. At what time would %3D an element of the string, located at x = 0.1 m, has its transverse velocity v_y = v_(y.max)/2? V #13 y = 0,5 in (4IT7) (60) t = 1/360 sec %3D 9'= - 0,05xéo sin(lz) ) t = 1/60 sec t = n/60 sec

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Chapter16: Wave Motion
Section: Chapter Questions
Problem 16.9P
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The wave function for a standing wave on a string of linear mass density 0.2 kg/m, is given by
y(x,t) = 0.05 sin(4Ttx)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?
#13
y = 0,,5 rin (yTI) os (60 A)
t = 1/360 sec
%3D
t 1/60 sec
t = n/60 sec
t t/360 sec
%3D
o, SS4
Transcribed Image Text:The wave function for a standing wave on a string of linear mass density 0.2 kg/m, is given by y(x,t) = 0.05 sin(4Ttx)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? #13 y = 0,,5 rin (yTI) os (60 A) t = 1/360 sec %3D t 1/60 sec t = n/60 sec t t/360 sec %3D o, SS4
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