- #1

csnsc14320

- 57

- 1

## Homework Statement

Two blocks (m = 1.22 kg and M = 8.73 kg) and a spring (k = 344 N/m) are arranged on a horizontal, frictionless surface, with m resting on top of M and the spring attached to a wall and M. The coefficient of static friction between the blocks is 0.42. Find the maximum possible amplitude of the simple harmonic motion is no slippage is to occur between the blocks.

## Homework Equations

## The Attempt at a Solution

So, after drawing free body diagrams for both blocks, I get:

m: [tex] \sum F = -\mu_s m g = m a [/tex] or just [tex] a = -\mu_s g [/tex]

M: [tex] -k x = (M + m) a [/tex] or just [tex] a = -\frac{M + m}{k x} [/tex]

Setting these two equations equal, I finally get:

[tex] x = \frac{M + m}{k \mu_S g} [/tex]

However, when I plug in the values, I get the wrong answer. I think something may be wrong with my FBD's?

Thanks in advance.