Simple Harmonic Motion: Acceleration Max/Min

[menachem70]

Hi, i need some help for a physics question: when is acceleration at maximum and when is acceleration at minimum in a simple harmonic motion. i know when the speed is at maximum: at the equilibrium position; however, i do not know about the acceleration. Please note that direction does not matter

 

[Doc Al]

Hint: Consider Newton's 2nd law.

 

[LostConjugate]

You know where the speed is maximized.

The difference in phase between a sinusoidal function and it's derivative is the difference between the maximized speed and the maximized acceleration.