A wave on a string is described by the wave function y = 0.100 sin(0.45x – 28t), where x and y are in meters and t is in
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A wave on a string is described by the wave function y = 0.100 sin(0.45x – 28t), where x and y are in meters and t is in
A wave on a string is described by the wave function y = 0.100 sin(0.45x – 28t), where x and y are in meters and t is in seconds. (a) Show that an element of the string at x = 1.05 m executes harmonic motion by expressing y for the element in the form A cos(wt + 0). (Enter A in m, w in rad/s, and p in rad.) A = 0.100 m @ = 28 rad/s φ = 0 Review trigonometric identities to determine what phase angle o must appear in the cosine function cos(0 + o) for it to be identical to sin(-0). Drawing graphs of sine and cosine functions may help. rad (b) Determine the frequency of oscillation of this particular element (in Hz). 4.456 Hz
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