1.31.
IDENTIFY:
Draw each subsequent displacement tail to head with the previous displacement. The resultant
displacement is the single vector that points from the starting point to the stopping point.
SET UP:
Call the three displacements
A
r
,
B
r
, and
C
r
. The resultant displacement
R
r
is given by
R=A+B+C
rr
.
EXECUTE:
The vector addition diagram is given in Figure 1.31. Careful measurement gives that
R
r
is
7.8 km, 38 north of east
o
.
EVALUATE:
The magnitude of the resultant displacement, 7.8 km, is less than the sum of the magnitudes of the
individual displacements, 2.6 km
4.0 km
3.1 km
++
.
Figure 1.31
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View Full Document1.41.
IDENTIFY:
Vector addition problem. We are given the magnitude and direction of three vectors and are asked
to find their sum.
SET UP:
3.25 km
A
=
4.75 km
B
=
1.50 km
C
=
Figure 1.41a
Select a coordinate system where
x
+
is east and
y
+
is north. Let
,
A
r
B
r
and
C
r
be the three displacements of
the professor. Then the resultant displacement
R
r
is given by
.
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 Fall '07
 Evrard

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