What Is the Maximum Amplitude for SHM Without Slipping?

[kmboling]

Homework Statement

A block is on a horizontal surface (a shake table) that is moving back and forth horizontally with simple harmonic motion of frequency 1.3 Hz. The coefficient of static friction between block and surface is 0.59. How great can the amplitude of the SHM be if the block is not to slip along the surface?

Homework Equations

a(t)=-w^2x(t)
w=2pi*frequency

The Attempt at a Solution

I know that the accelerations of the block and the table are goin to be equal because the only horizontal force causing the block's movement is the force of static friction. But i don't know how to set up the problem. any help?

 

[kmboling]

bump

could some one give me a direction? am I going in the right direction? i don't want the answer, just some help.

 

[Doc Al]

Hint: What's the maximum value of static friction between the surfaces? What acceleration does that correspond to? (Apply Newton's 2nd law to the block.)