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Chapter 5
127
P5.22
The two forces acting on the block are the normal force,
n
, and the
weight,
mg
. If the block is considered to be a point mass and the
x

axis is chosen to be parallel to the plane, then the free body
diagram will be as shown in the figure to the right. The angle
θ
is
the angle of inclination of the plane. Applying Newton’s second
law for the accelerating system (and taking the direction up the
plane as the positive
x
direction) we have
Fnm
g
y
∑
=
−
=
cos
0:
nm
g
=
cos
Fm
g
m
a
x
∑
=
−
=
sin
:
ag
=
−
sin
FIG. P5.22
(a)
When
=°
15 0
.
a
=
−
254
. m
s
2
(b)
Starting from rest
vv
a
xx
a
x
va
x
fi
f
ff
22
2
5
4
2
0
0
3
1
8
=+
−=
==
−
−
=
di
ej
af
..
.
ms
m
2
P5.23
Choose a coordinate system with
±
i
East and
±
j
North.
Fa
∑
m
100
kg
m s
2
at 30 0
.
°
5 00
10 0
30 0
5 00
8 66
1
.
±
.
±
.
±
N
N
N
N
a
f
a
f
a
f
a
f
jF
j
i
+=
∠ °
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .
 Fall '11
 Staff
 Physics, Force, Mass

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