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## Homework Statement

A large block P executes horizontal simple harmonic motion as it slides across a frictionless surface with a frequency f = 1.5 Hz. Block B rests on it, as shown in the figure, and the coefficient of static friction between the two is 0.6. What is the maximum amplitude of oscillation of the system so that block B dos not slip?

## Homework Equations

[tex]a=-\omega ^2*A[/tex]

[tex]\omega = 2\pi f[/tex]

## The Attempt at a Solution

[tex]a=\omega ^2*A[/tex]

[tex]\frac{F}{m}=(2\pi f)^2*A[/tex]

[tex]A=\frac{\mu _s*N}{m*(2\pi f)^2}[/tex]

[tex]A=\frac{\mu _s*mg}{m*(2\pi f)^2}[/tex]

[tex]A=6.62~cm[/tex]

Do I get it right?

Thanks