Doubling Period and Amplitude: Object's Maximum Speed

[yahoo32]

An ob ject moves with simple harmonic motion. If the amplitude and
the period are both doubled, the ob ject’s maximum speed is


I believe the object's maximum speed would be halved correct? Considering the regular velocity does not depend on the Amplitude and only the Period would affect it?

 

[tiny-tim]

Hi yahoo32!

Thanks for the PM.

I believe the object's maximum speed would be halved correct? Considering the regular velocity does not depend on the Amplitude and only the Period would affect it?

Hint: Think of a pendulum.

Double the amplitude … what happens to the maximum velocity?

 

[yahoo32]

Ahhh! So max v = A w . Therefore doubling T and A will keep the max velocity the same, correct?

 

[tiny-tim]

Harmony is restored! ​