5.74:
a) The normal force will be
cos
sin
mg
F
α
α
+
, and the net force along (up) the
ramp is
).
cos
(sin
)
sin
(cos
)
sin
cos
(
sin
cos
s
s
s
α
μ
α
α
μ
α
α
μ
α
α
+


=
+


mg
F
F
α
mg
mg
F
In order to move the box, this net force must be greater than zero. Solving for
F
,
.
sin
cos
cos
sin
s
s
α
μ
α
α
μ
α

+
mg
F
Since
F
is the magnitude of a force,
F
must be positive, and so the denominator of this
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 Force, Cos, mg cos

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