8.4 Harmonic Motion 1. A buoy oscillates in simple harmonic motion as waves go past. At a given time it is noted that the buoy moves a total of 3.5 feet from its low point to its high point, and that it returns to its high point every 10 seconds. 2. A 5-pound weight is oscillating on the end of a spring. The position of the weight relative to the point is given by where t is in seconds. Find the times when the weight is at the point of equilibrium (y=0) for . 3. A weight stretches a spring 1.5inches. The weight is pushed 3 inches above its equilibrium position and released. Its motion is modeled by (t is in seconds and y is in feet). What is the period of oscillations? And determine the first time the weight passes the point of equilibrium (y=0).
8.4 Harmonic Motion 1. A buoy oscillates in simple harmonic motion as waves go past. At a given time it is noted that the buoy moves a total of 3.5 feet from its low point to its high point, and that it returns to its high point every 10 seconds. 2. A 5-pound weight is oscillating on the end of a spring. The position of the weight relative to the point is given by where t is in seconds. Find the times when the weight is at the point of equilibrium (y=0) for . 3. A weight stretches a spring 1.5inches. The weight is pushed 3 inches above its equilibrium position and released. Its motion is modeled by (t is in seconds and y is in feet). What is the period of oscillations? And determine the first time the weight passes the point of equilibrium (y=0).
8.4_simple_harmonic_practice_worksheet_key.docx