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Chapter 1
Introduction and Mathematical Concepts
y
y
(
x,y
)
(
x
,
y
)
Q(3,4)
r
y
P(5,3)
0
x
x
0
x
i.e. A scalar quantity is completely specified by a number
with
appropriate
units
, such as :
m
,
g/m
3
, …etc.
The
magnitude
of
a
vector
has physical units
, such
as :
m , m/s ,…
etc.
Usually
denoted
by
boldface
letters:
A
,
B
, …etc
or as
A . Magnitude
of
A
is
written
as
A
or
A
.
Scalar and Vector Quantities
Coordinate systems and frames of reference
A
scalar quantity
has
only magnitude
and
no direction
A
vector quantity
has both
magnitude
and
direction
x = r cos
,
y = r sin
,
tan
= y
/
x
The
plane
polar
coordinates
are represented
by
the distance
r
and
the
angle
, where
is
measured
counterclockwise
from
the
positive
x
axis .
Designation of points
in a cartesian coordi
nate
system . Every
point is labeled with
coordinates (
x,y
) .
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View Full DocumentThese vectors
are
all
equal
since
they
have equal
length and
point
in
the
same direction.
When vector
A
is
added to
vector
B
, the
resultant R
is
the vector that
runs
from
the
tail of A
to
the
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 Fall '10
 weighgabriel
 Physics

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