Mass loses contact with platform at 6.2 cm amplitude in SHM

[andyatk14]

Homework Statement

A mass sits on a platform undergoing simple harmonic motion in the vertical
direction. The mass loses contact with the platform when the amplitude exceeds
6.2 cm. What is the frequency, f (in Hz), of the platform’s vibration? Take g =
9.8ms−2.

Homework Equations

The Attempt at a Solution

I'm not sure where to start with this.

 

[gneill]

What do you know about SHM, and in particular, the relationships between position, velocity, and acceleration? How about bodies in free-fall? What do you know about them?

 

[andyatk14]

Thank you for your reply. I have an answer for the frequency of 2Hz which I got by saying the maximum value of the acceleration was equal to g, which is equal to omega^2*A, where A is the amplitude. I believe that may be right.

 

[gneill]

Thank you for your reply. I have an answer for the frequency of 2Hz which I got by saying the maximum value of the acceleration was equal to g, which is equal to omega^2*A, where A is the amplitude. I believe that may be right.

If you can justify why maximum acceleration should equal g then I'd say you're done.