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17. The maximum force that can be exerted by the surface must be less than
μ
s
F
N
or else
the block will not follow the surface in its motion. Here,
μ
s
is the coefficient of static
friction and
F
N
is the normal force exerted by the surface on the block. Since the block
does not accelerate vertically, we know that
F
N
=
mg
, where
m
is the mass of the block. If
the block follows the table and moves in simple harmonic motion, the magnitude of the
maximum force exerted on it is given by
F
=
ma
m
=
m
ω
2
x
m
=
m
(2
π
f
)
2
x
m
,
where
a
m
is the magnitude of the maximum acceleration,
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 Spring '08
 Any
 Physics, Force, Friction

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