Understanding SHM
* Simple Harmonic Motion (SHM): A type of periodic motion where the restoring force is proportional to the displacement from the equilibrium position. This results in a smooth, oscillating motion.
* Amplitude: The maximum displacement of the particle from its equilibrium position.
* Period: The time it takes for the particle to complete one full cycle of oscillation.
Calculating Total Distance
In one complete period of SHM, the particle travels:
* From the equilibrium position to the maximum displacement (amplitude) and back to the equilibrium position. This covers a distance of `2 * amplitude`.
* Then, it continues to the other extreme (negative amplitude) and back to the equilibrium position. This also covers a distance of `2 * amplitude`.
Therefore, the total distance traveled in one period is:
Total distance = 2 * amplitude + 2 * amplitude = 4 * amplitude
Calculation
Given that the amplitude is 0.18 m:
Total distance = 4 * 0.18 m = 0.72 m
Answer: The particle travels a total distance of 0.72 meters in one period.
