The answer is that there is a very close relationship between simple harmonic motion and circular motion with constant speed, as Figure \PageIndex2 illustrates: as the point P rotates with const...The answer is that there is a very close relationship between simple harmonic motion and circular motion with constant speed, as Figure \PageIndex2 illustrates: as the point P rotates with constant angular velocity ω, its projection onto the x axis (the red dot in the figure) performs simple harmonic motion with angular frequency ω (and amplitude R). (Of course, there is nothing special about the x axis; the projection on any other axis will also perform simp…
The answer is that there is a very close relationship between simple harmonic motion and circular motion with constant speed, as Figure \PageIndex2 illustrates: as the point P rotates with const...The answer is that there is a very close relationship between simple harmonic motion and circular motion with constant speed, as Figure \PageIndex2 illustrates: as the point P rotates with constant angular velocity ω, its projection onto the x axis (the red dot in the figure) performs simple harmonic motion with angular frequency ω (and amplitude R). (Of course, there is nothing special about the x axis; the projection on any other axis will also perform simp…