A travelling harmonic wave on a string is described by y(x,t) = 7.5 sin (0.005 x + 12t+ pi//4) (a) what are the displacement and velocity of oscillation of a point at x=1 cm, and t=1s? Is this velocity equal to the velocity of wave propagation? (b) Locate the points of the string which have the same transverse displacements and velocity as the x=1 cm point at t=2s, 5s and 11s

A travelling harmonic wave on a string is described by y(x,t) = 7.5 si

1.	A travelling harmonic wave on a string is described by y(x,t) = 7.5 sin (0.005 x + 12t+ pi//4) (a) what are the displacement and velocity of oscillation of a point at x=1 cm, and t=1s? Is this velocity equal to the velocity of wave propagation? (b) Locate the points of the string which have the same transverse displacements and velocity as the x=1 cm point at t=2s, 5s and 11s
Answer» <html><body><p></p>Solution :(a) 1.66 cm, `87.75 cm s^(-1)`, No, the velocity of <a href="https://interviewquestions.tuteehub.com/tag/wave-22399" style="font-weight:bold;" target="_blank" title="Click to know more about WAVE">WAVE</a> propagation is `-24ms^(-1)` <br/> (<a href="https://interviewquestions.tuteehub.com/tag/b-387190" style="font-weight:bold;" target="_blank" title="Click to know more about B">B</a>) All <a href="https://interviewquestions.tuteehub.com/tag/points-1157347" style="font-weight:bold;" target="_blank" title="Click to know more about POINTS">POINTS</a> at distance of `<a href="https://interviewquestions.tuteehub.com/tag/n-568463" style="font-weight:bold;" target="_blank" title="Click to know more about N">N</a> <a href="https://interviewquestions.tuteehub.com/tag/lamda-536483" style="font-weight:bold;" target="_blank" title="Click to know more about LAMDA">LAMDA</a> (n = +- 1, +-2, +-3..)` where `lamda= 12.6m` from the point x=1 cm</body></html>