omework 13: 1) Derive the equations of motion of the system shown in Fig. 1, where...
Draw a block diagram of the system shown below Figure P6.36 is the circuit diagram of a speed-control system in which the dc motor voltage ua is supplied by a generator driven by an engine. This system has been used on locomotives whose diesel engine operates most efficiently at one speed. The efficiency of the electric motor is not as sensitive to speed and thus can be used to drive the locomotive at various speeds. The motor voltage va is...
1. Derive the equations of motion of the system shown in Fig 1 by using Lagrange's equations. Find the natural frequencies and mode shapes of the dynamical system for k 1 N/m, k-2 N/m, k I N/m, and mi 2 kg, m l kg, m -2 kg. scale the eigenvectors matrix Ф in order to achieve a mass normalized eigenvectors matrix Φ such that: F40 Fan Fig. 1
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...
For the system shown in Fig. 1, solve the following problems. (a) Find the transfer function, G(s)X2 (s)/F(s) (b) Does the system oscillate with a unit step input (f (t))? Explain the reason (c) Decide if the system(x2 (t)) is stable with a unit step input (f (t))? Explain the reason 1. 320) 8 kg 2 N/m 4N-s/m 2N-s/m Fig. 1 2. There are two suspensions for a car as shown in Fig. 2 (a) Find the equations of each...
1. Applying Newton's laws, derive the equations of motion for the following system. Use θ1 and θ2 as your degrees of freedom for mass 1 (J1 = mass moment of inertia of mass 1) and for mass 2 (J2 = mass moment of inertia of mass 2), respectively. Construct the free-body diagram and the kinetic diagram clearly. The system is fixed (embedded) on the far left. Express the equations of motion in matrix notation. 1. Aplicando las leyes de Newton,...
5. (10 pts) Consider the two-mass sy stem of Fig. 1. The system is free to move in x1 plane. a) Derive the equations of motion. b) Identify the mass matrix and the stiffness matrix if the displacement vector is x=1 x, x2 x3 x4 3k 4k 4k 5. (10 pts) Consider the two-mass sy stem of Fig. 1. The system is free to move in x1 plane. a) Derive the equations of motion. b) Identify the mass matrix and...