- #1

toesockshoe

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## Homework Statement

A block with mass m rests on a frictionjless surfae and is connected to a horizontal spring of force constant k. The other end of the spring is attahced to a wall. A second block with mass m rests on top of the first block. The coefficient of static friction between the blocks is given. Find the maximum amplitude of the oscialltion such that the top block will not slip on the bottom block

## Homework Equations

F=ma

## The Attempt at a Solution

so i did 2 F=ma problems... and BOTH THE MASSES ARE EQUAL... atleast that's what I am assuming from the problem becuase they both have mass, m. (although having different masses wouldn't make it much more difficult... just a bit more algebra)

1.

F=ma ... system m on bottom..

[itex] F_{el} - F_s = ma [/itex]

[itex] -kA - \mu _s mg = ma [/itex] F = ma... system m on the top

[itex] F_s = ma [/itex] [/B]

[itex] \mu mg = ma [/itex]

let the 2 ma's equal each other to get... but this poses a problem because when I set them equal... i get

[itex] kA = 0 [/itex]

because the two [itex] \mu _s mg [/itex] 's cancel out...

where am i going wrong?

where am i going wrong?