In certain kinds of structural vibrations, a periodic force acting on the structure will cause the vibration amplitude to repeatedly increase and decrease with time. This phenomenon, called beating, also occurs in musical sounds. A particular structure’s displacement is described by

where y is the displacement in inches and t is the time in seconds. Plot y versus t over the range 0 ≤ t ≤ 20 for f₁ = 8 rad/sec and f₂ = 1 rad/sec. Be sure to choose enough points to obtain an accurate plot.

Transcribed Image Text:

1 [cos(ft) – cos(fit)] fi - f y(t)