A travelling wave on a string is given by y = 7.5 sin 0.005x+12t + 4 where x and y are in cm and t in second. (a) Find the displacement and velocity of the par- ticle at a point x = 1 cm at t= 1s. Is this equal to the wave velocity? Given sin (12.7°) = 0.22. (b) Locate the points on the string which have the same transverse displacement and velocity as the x = 1 cm point has at t = 2s, 5s and 1ls. %3D

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A travelling wave on a string is given by
y = 7.5 sin 0.005x+12t +
where x and y are in cm and t in second.
(a) Find the displacement and velocity of the par-
ticle at a point x = 1 cm at t = 1s. Is this equal to
the wave velocity? Given sin (12.7°) = 0.22.
(b) Locate the points on the string which have the
same transverse displacement and velocity as
the x = 1 cm point has at t= 2s, 5s and 11s.
Transcribed Image Text:A travelling wave on a string is given by y = 7.5 sin 0.005x+12t + where x and y are in cm and t in second. (a) Find the displacement and velocity of the par- ticle at a point x = 1 cm at t = 1s. Is this equal to the wave velocity? Given sin (12.7°) = 0.22. (b) Locate the points on the string which have the same transverse displacement and velocity as the x = 1 cm point has at t= 2s, 5s and 11s.
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