The slope of the displacement is the velocity, which is a maximum whenOriginally Posted by spiritualfieldsThere's probably a simple explanation that I'm overlooking, but I can't see it. This is a problem dealing with interpretation of something in my text book, so I'll copy it verbatim, then ask my question. First, simple harmonic motion is described as:
With that in mind, the text goes on to elaborate further, calling attention to a figure that has an object suspended from a spring. The object has a rest position (point B), a maximum up displacement position (point A), and a maximum down displacement position (point C). The text says:
The problem is that there is also a figure that shows the sinosoidal shape of the displacement (from rest) with respect to time. The sinosoidal waveform seems to demonstrate the exact opposite of what the text is asserting! Specifically, the object is exhibing the MOST acceleration when the displacement is least (near rest). I corrolate the slope of the sinosoidal waveform with the acceleration of the object, and the slope changes the most when the object is moving through its rest position. The acceleration is LEAST when the object is at maximum displacement (corresponding to the maximum and minimum parts of the sinosoidal, when the slope slows to near zero).
the dispalecement is zero.