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Kinetics of Rigid (Planar) Bodies Penn (刚性动力学(平面)的身体佩恩)
MEAM 211MEAM 211
Kinetics of Rigid (Planar) Bodies
MEAM 211MEAM 211
Types of motion
Rectilinear
Curvilinear
translation
translation
General planar motion
Rotation about
a fixed point
MEAM 211MEAM 211
Kinetics of a System of Particles
m
i
The center of mass for a system of particles accelerates
in an inertial frame as if it were a single particle with r G
i
mass m (equal to the total mass of the system) acted
upon by a force equal to the net external force. r
N
d v G O N
F ∑Fi m r m dt r 1 ∑m r
i 1 m i i
i 1
The rate of change of angular The rate of change of angular
momentum of the system about momentum of the system about
a fixed point O is equal to the the center of mass G is equal
resultant moment of all to the resultant moment of all
external forces acting on the external forces acting on the
system about O
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