THE CART AND MOTOR



EQUATIONS OF MOTION: The Cart and Motor

cart
vsubi  =  input voltage. Positive input voltage moves cart toward right.
vsubo  =  output voltage
E  =  EMF across motor
rsuba  =  Motor armature resistance
isuba  =  Motor armature current
tsubd  =  Torque developed by motor
F  =  Force transmitted to wire by motor
phi  =  Motor shaft angle
r  =  effective radius of motor shaft. ( p9_delta )
H  =  Force in Horizontal direction.
xsubp  =  X coordinate of cart. Note positive  xsubp is toward right.
ksuba  =  Amplifier gain constant
ksubm  =  A constant of the motor
M  =  mass of cart
bsubm  =  viscous damping of motor
bsubc  =  viscous damping of cart
isubm  =  inertia of motor
J  =  combined inertia of motor and cart. ( p9_jeq )
B  =  combined damping of motor and cart. ( p9_beq )
ksubc  =  Viscous damping constant. ( p9_kceq )

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