THE CART AND MOTOR



EQUATIONS OF MOTION: The Cart and Motor


 =  input voltage. Positive input voltage moves cart toward right.
 =  output voltage
E  =  EMF across motor
 =  Motor armature resistance
 =  Motor armature current
 =  Torque developed by motor
F  =  Force transmitted to wire by motor
 =  Motor shaft angle
r  =  effective radius of motor shaft. ( )
H  =  Force in Horizontal direction.
 =  X coordinate of cart. Note positive  is toward right.
 =  Amplifier gain constant
 =  A constant of the motor
M  =  mass of cart
 =  viscous damping of motor
 =  viscous damping of cart
 =  inertia of motor
J  =  combined inertia of motor and cart. ( )
B  =  combined damping of motor and cart. ( )
 =  Viscous damping constant. ( )

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