# Physics

The two blocks in the figure, of mass m and M respectively, are not attached, but there is a coefficient of static friction u between them. The surface below the heavier block M is frictionless. What is the minimum force magnitude F required to keep the smaller block m from slipping down? Express your answer in terms of m, M, u, and g.

Figure:
______
___| |
F-->| m | M |
|___| |
|______|

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asked by John
1. Figure:

---------______
-----___|------|
F-->|-m-|--M---|
----|___|------|
--------|______|

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posted by John
2. That's still not right but hopefully you can understand it. I wish it would just let me post a link to an image.

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posted by John
3. Leave spaces between the letters and numbers of the image web site and it should appear in your post

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posted by drwls
4. i . imgur . com/Ki7wM.jpg

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posted by John
5. on the whole system:
F = (m+M)a
on block m, call Fb the force between blocks:
F - Fb = m a
so
(m+M)a - Fb = m a
so
Fb = M a
for no slip:
Fb u = m g
Fb = m g/u
M a = m g/u
so
a = (m/M) (g/u)
so using F = (m+M)a
F = (m+M)(m/M)(g/u)

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posted by Damon

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