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em 2 (20 Points Total): The figure below shows a motor (characterized by an inertia J,...
2. A motor with armature moment of inertia,Ja 0.02 kg-m2, is directly coupled to a m ass Jı = 0.0...
2. A motor with armature moment of inertia,Ja 0.02 kg-m2, is directly coupled to a m ass Jı = 0.06 kg-m2. The motor is also con nected to a massless gearbox with N1-15 teeth on the input side and N2 75 teeth on the output side. Coupled to the gearbox output shaft is a load, J 1 kg m2. Refer to the figure, below It is desired to rotate the load three revolutions in 0.7 seconds using a trapezoidal velocity...
2. A motor with armature moment of inertia,Ja 0.02 kg-m2, is directly coupled to a m ass Jı = 0.0...
2. A motor with armature moment of inertia,Ja 0.02 kg-m2, is directly coupled to a m ass Jı = 0.06 kg-m2. The motor is also con nected to a massless gearbox with N1-15 teeth on the input side and N2 75 teeth on the output side. Coupled to the gearbox output shaft is a load, J 1 kg m2. Refer to the figure, below It is desired to rotate the load three revolutions in 0.7 seconds using a trapezoidal velocity...
Figure shows a disk with moment of inertia J=0.5 kg-m2 that is initially rotating at an...
Figure shows a disk with moment of inertia J=0.5 kg-m2 that is initially rotating at an angular velocity 0 0 = 40 rad/s. A flexible shaft with torsional spring constant k = 65 N-m/rad connected to the disk. The disk is subjected to friction, which is modeled by linear viscous friction torque bò, with friction coefficient b = 1.0 N-m-s/rad. The input torque in the clockwise direction is a step function Tin(t) = 3.0U(t) N-m. Flexible shaft, k Disk Viscous...
D.C. motor is shown below, where the inductance L and the resistance R model the armature circuit. The voltage Vbrepresents the back-emf which is proportional to dθ/dt via Kf. The torque T generated b...
D.C. motor is shown below, where the inductance
L and the resistance R model the
armature circuit. The voltage
Vbrepresents the back-emf
which is proportional to dθ/dt via
Kf. The torque T
generated by the motor is proportional to the
i via a constant
Kt. In this application, let the
constants Kt =
Kf. The inertia
Jrepresents the combined inertia of the motor and
load. The viscous friction acting on the output shaft is
b. Attached to the shaft is...
3.2 Pre-Lab Assignment When deriving the governing equations for an electromechanical system, it is often beneficial...
3.2 Pre-Lab Assignment When deriving the governing equations for an electromechanical system, it is often beneficial to examine the electrical and mechanical components independently. Looking at only the electrical components of the QUBE-Servo DC motor (as shown in Figure 3.2): R v00 C e, (00 Figure 3.2: Electrical curcuit of the QUBE-Servo DC motor Q1. Write the differential equation in the form of Kirchoff's voltage law) in the Laplace domain for the electrical circuit (do not use parameter values given...
Question three The figure below shows a unit step response of a second order system. From...
Question three The figure below shows a unit step response of a second order system. From the graph of response find: 1- The rise timet, 2- The peak timet, 3- The maximum overshoot Mp 4- The damped natural frequency w 5. The transfer function. Hence find the damping ratio ζ and the natural frequency ah-Find also the transfer function of the system. r 4 02 15 25 35 45 Question Four For the control system shown in the figure below,...
2. A motor with armature moment of inertia,Ja 0.02 kg-m2, is directly coupled to a m ass Jı = 0.06 kg-m2. The motor is also con nected to a massless gearbox with N1-15 teeth on the input side and N2 75 teeth on the output side. Coupled to the gearbox output shaft is a load, J 1 kg m2. Refer to the figure, below It is desired to rotate the load three revolutions in 0.7 seconds using a trapezoidal velocity...
2. A motor with armature moment of inertia,Ja 0.02 kg-m2, is directly coupled to a m ass Jı = 0.06 kg-m2. The motor is also con nected to a massless gearbox with N1-15 teeth on the input side and N2 75 teeth on the output side. Coupled to the gearbox output shaft is a load, J 1 kg m2. Refer to the figure, below It is desired to rotate the load three revolutions in 0.7 seconds using a trapezoidal velocity...
Figure shows a disk with moment of inertia J=0.5 kg-m2 that is initially rotating at an angular velocity 0 0 = 40 rad/s. A flexible shaft with torsional spring constant k = 65 N-m/rad connected to the disk. The disk is subjected to friction, which is modeled by linear viscous friction torque bò, with friction coefficient b = 1.0 N-m-s/rad. The input torque in the clockwise direction is a step function Tin(t) = 3.0U(t) N-m. Flexible shaft, k Disk Viscous...
D.C. motor is shown below, where the inductance
L and the resistance R model the
armature circuit. The voltage
Vbrepresents the back-emf
which is proportional to dθ/dt via
Kf. The torque T
generated by the motor is proportional to the
i via a constant
Kt. In this application, let the
constants Kt =
Kf. The inertia
Jrepresents the combined inertia of the motor and
load. The viscous friction acting on the output shaft is
b. Attached to the shaft is...
3.2 Pre-Lab Assignment When deriving the governing equations for an electromechanical system, it is often beneficial to examine the electrical and mechanical components independently. Looking at only the electrical components of the QUBE-Servo DC motor (as shown in Figure 3.2): R v00 C e, (00 Figure 3.2: Electrical curcuit of the QUBE-Servo DC motor Q1. Write the differential equation in the form of Kirchoff's voltage law) in the Laplace domain for the electrical circuit (do not use parameter values given...
Question three The figure below shows a unit step response of a second order system. From the graph of response find: 1- The rise timet, 2- The peak timet, 3- The maximum overshoot Mp 4- The damped natural frequency w 5. The transfer function. Hence find the damping ratio ζ and the natural frequency ah-Find also the transfer function of the system. r 4 02 15 25 35 45 Question Four For the control system shown in the figure below,...
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