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Consider the inverted pendulum system shown below. The inverted pendulum is mounted on top of a...
Consider the inverted pendulum system presented in Fig. 1. The pivot of the pendulum is mounted o...
Consider the inverted pendulum system presented in Fig. 1. The pivot of the pendulum is mounted on a cart, which can move in a horizontal direction. The pendulum can be kept balanced at a specific position by applying a horizontal force to drive the carriage. Assume that the pendulum mass, m, is concentrated ia at the end of the massless rod. The horizontal displacement of the pivot on the cart is x, the rotational angle of the pendulum is θ...
Problem 6 State space representation of motor - driven cart with inverted pendulum You are given...
Problem 6 State space representation of motor - driven cart with inverted pendulum You are given that the cart carrying the inverted pendulum shown in the figure below is driven by an electric motor powering one pair of wheels so that the whole cart, pendulum and all, becomes the load on the motor. z is the cart position, M is its mass, θ is the pendulum angle with respect to the vertical, I its length, and m its mass. The...
Consider the electromechanical dynamic system shown in Figure 1(a). It consists of a cart of mass...
This assignment is for my Engr dynamics systems class.
Consider the electromechanical dynamic system shown in Figure 1(a). It consists of a cart of mass m moving without slipping on a linear ground track. The cart is equipped with an armature-controlled DC motor, which is coupled to a rack and pinion mechanism to convert the rotational motion to translation and to create the driving force for the system. Figure 1(b) shows the simplified equivalent electric circuit and the mechanical model...
2. Consider the system shown in the figure below, comprised of the same motor, steel beam,...
2. Consider the system shown in the figure below, comprised of the same motor, steel beam, steel cable and crate All assumptions and properties are the same with one exception; the cable is no longer considered as rigid Cable properties: length = 4 m, diameter = 0.007 m, E = 207 GPa, Calculate the equivalent stiffness of the cable, in units of N/m. (See table 4.1.1 in your textbook) Draw an equivalent system diagram where the beam and cable each...
Consider the inverted pendulum system presented in Fig. 1. The pivot of the pendulum is mounted on a cart, which can move in a horizontal direction. The pendulum can be kept balanced at a specific position by applying a horizontal force to drive the carriage. Assume that the pendulum mass, m, is concentrated ia at the end of the massless rod. The horizontal displacement of the pivot on the cart is x, the rotational angle of the pendulum is θ...
Problem 6 State space representation of motor - driven cart with inverted pendulum You are given that the cart carrying the inverted pendulum shown in the figure below is driven by an electric motor powering one pair of wheels so that the whole cart, pendulum and all, becomes the load on the motor. z is the cart position, M is its mass, θ is the pendulum angle with respect to the vertical, I its length, and m its mass. The...
This assignment is for my Engr dynamics systems class.
Consider the electromechanical dynamic system shown in Figure 1(a). It consists of a cart of mass m moving without slipping on a linear ground track. The cart is equipped with an armature-controlled DC motor, which is coupled to a rack and pinion mechanism to convert the rotational motion to translation and to create the driving force for the system. Figure 1(b) shows the simplified equivalent electric circuit and the mechanical model...
2. Consider the system shown in the figure below, comprised of the same motor, steel beam, steel cable and crate All assumptions and properties are the same with one exception; the cable is no longer considered as rigid Cable properties: length = 4 m, diameter = 0.007 m, E = 207 GPa, Calculate the equivalent stiffness of the cable, in units of N/m. (See table 4.1.1 in your textbook) Draw an equivalent system diagram where the beam and cable each...
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