1
Equations you must know for Exam 2 on Nov.10, 2011.
Exam 2 covers the material from page 87, Chapter 4.1
to page 147, Chapter 5.5
Equilibrium problem (moving with v=0 or v=const.)
∑
=
0
x
F
and
∑
=
0
y
F
Normal
friction
F
F
µ
=
No equilibrium problem
∑
=
x
x
ma
F
and
∑
=
y
y
ma
F
Dynamics of Uniform Circular Motion
Relation between velocity and period of circular motion:
2
1
v,
r
fv
TT
π
=
=
Centripetal acceleration
2
v
c
a
r
=
Centripetal Force
2
2
v2
c
mmr
F
r
rT
=
=
Gravitational Force
2
2
1
r
m
m
G
F
G
=
Relation between the velocity and radius of a satellite in circular orbit
around a planet “P”.
v
P
GM
r
=
Period of a satellite orbiting around planet “P”(Kepler’s third law both for
circular and elliptical orbits. Arrived at via observations in 1619)
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 Fall '08
 Staff
 Friction, Gravitational Force, Uniform Circular Motion, Centripetal Force Provided

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