How does spring constant affect amplitude and frequency in SHM?

[SherlockIsReal]

Homework Statement

Compare the simple harmonic motion of two identical masses oscillating up and down on springs with different spring constants.

Homework Equations

F = -kx

The Attempt at a Solution

Okay, so I understand that the higher the spring constant, the harder it is to compress the spring. But I don't know how to relate that to the graph of harmonic motion. If the spring constant is higher , does that mean that the amplitude is lower? Or that the frequency is shorter?

 

[Suraj M]

that the frequency is shorter?

Do have any equation relating time period and spring constant.

 

[Doc Al]

Or that the frequency is shorter?

For one thing, frequency is cycles per second (or radians per second, for angular frequency). Frequencies could be described as higher or lower; wavelengths, as longer or shorter.

How does frequency relate to spring constant? Look it up!