SUMMARY
The goal of Chapter 4 has been to learn to solve problems about motion in a plane.
General Principles
The
instantaneous velocity
is a vector tangent to the trajectory.
The
instantaneous acceleration
is
the component of
parallel to
is responsible for change of
speed.
the component of
perpendicular to
is responsible for change of
direction.
v
r
,
a
r
a
r
'
,
v
r
,
a
r
a
r
i
,
a
r
5
dv
r
/
dt
v
r
5
dr
r
/
dt
Relative motion
Inertial reference frames move
relative to each other with constant
velocity
Measurements of position
and velocity measured in frame S are
related to measurements in frame
by the Galilean transformations:
y
r
5
y
2
V
y
t
v
r
y
5
v
y
2
V
y
x
r
5
x
2
V
x
t
v
r
x
5
v
x
2
V
x
S
r
V
r
.
Important Concepts
Uniform Circular Motion
Angular velocity
and
are constant:
The centripetal acceleration points toward the center of the circle:
It changes the particle’s direction but not its speed.
a
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This note was uploaded on 09/26/2010 for the course PHYS 021 taught by Professor Dick during the Spring '08 term at GWU.
 Spring '08
 Dick
 Physics, Acceleration

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