What Determines the Coefficient of Static Friction in Oscillating Blocks?

[Havok104]

Homework Statement

The two blocks in the figure oscillate on a frictionless surface with a period of 1.5 s. The upper block just begins to slip when the amplitude is increased to 36 cm.

What is the coefficient of static friction between the two blocks?

Homework Equations

The Attempt at a Solution

I've tried to think of the forces involved (ie. friction -normal force * coefficient of friction etc)
But I'm having trouble incorporating the period and the amplitude into equations with forces in them.

Any help is greatly appreciated!

 

[tiny-tim]

Welcome to PF!

Hi Havok104! Welcome to PF!

Hint: call the coefficient of static friction µ.

What is the maximum acceleration that the upper block can have without slipping?