Homework No. 2
Vector components
Y&F
1.40
Ans
: (a) 10.0 cm, 149
°
(b) 10.0 m,
−
166
°
(or 194
°
) (c) 8.21 km,
−
19.2
°
(or 341
°
)
B
= 50 N
x
y
A
= 120 N
35
°
20
°
Vector addition by the components method
CHANG
1
Two force vectors are shown in the figure.
(a) Use unit vectors
and
to express
ˆ
i
ˆ
j
A
G
and
B
G
in
the vector form. (b) If
, find the
components of
. (c) Find the magnitude of
C
A
B
=
+
G
G
G
C
G
C
G
as
well as the direction by its angle measured from +
x

axis.
Ans
: (a)
ˆ
ˆ
98.3
68.8
A
i
j
= −
+
G
N;
ˆ
17.1
47.0
ˆ
B
i
=
−
G
j
N (b)
C
x
= –81.2 N,
C
y
= 21.8
N
(c) 84.1 N, 165
°
B
x
y
A
= 120 N
35
°
20
°
CHANG
2
Two force vectors are shown in the figure,
and the total force vector
is the sum of
C
G
A
G
and
B
G
:
. If the total force is observed to be
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 Fall '08
 TSChang
 Physics, Vector Space, Acceleration, Force, Work, Euclidean vector, 1 m, 3 m, Vector components Y&F

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