It's a sentence I saw when I was talking about simple pendulum "When the amplitude is small, the period is independent of the amplitude." I feel that this sentence is very confusing. When is the period related to amplitude,

It's a sentence I saw when I was talking about simple pendulum "When the amplitude is small, the period is independent of the amplitude." I feel that this sentence is very confusing. When is the period related to amplitude,

In fact, a simple pendulum is not a simple harmonic motion in the full sense, only when the amplitude is very small (the book says that it is less than 10 degrees)
Can be approximately regarded as simple harmonic motion
The period of simple harmonic motion is not related to amplitude, but to mass, recovery parameter and so on
So for a simple pendulum, when the amplitude is too large, it can not be a simple harmonic motion. At this time, the period is related to the amplitude. The specific relationship is complex and needs to be studied