Rigid Bodies

1
Rigid Bodies
Rigid Body Extended body that moves as a unit
Internal forces maintain body shape
Properties

• Mass
• Shape (Internal forces keep constant)
• Volume
• Center of Mass Position
• Center of Mass Velocity

2
Mass and Density
Extended Body
System of Particles
3
Other Quantities
Center of mass
Momentum
Angular Momentum
4
Types of Motion
5
Rotation around a Fixed Axis
Rotation Axis
qi
qcm
bi
qi
bi
qcm
bi fixed
6
Equation of Motion
or angle to any other fixed position
7
Calculating Moments of Inertia
R
R
b
a
Moments of Inertia through the Center of Mass
8
Parallel Axis Theorem
Rcm
9
Rectilinear Motion andRotational Motion
10
Torsion Pendulum