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(3 points) 5 points) estpe A sin (wt+ a) 3. For the following coupled electro-mechanical system...
Electro-Mechanical Systems The electro-mechanical system shown below consists of an electric motor with input voltage V,...
Electro-Mechanical Systems The electro-mechanical system shown below consists of an electric motor with input voltage V, which drive inertia I in the mechanical system (see torque T). Find the governing differential equations of motion for this electro-mechanical system in terms of the input voltage to the motor and output displacement y. Electrical System L > Vbac Voac Motor I - Motor Input Voltage Vpac - Motor Back EMF = Kas 0 0 - Motor Angular Velocity I - Motor Output...
u(t) ta(t) e(t) A DC motor is a electro-mechanical system, where mechanical motor is coupled with...
u(t) ta(t) e(t) A DC motor is a electro-mechanical system, where mechanical motor is coupled with an electrical circuit. The motor shows up in the circuit equation as a voltage loss proportional to the motor speed, and the electrical system shows up as the input torque proportional to the armatura current DC motor equations are given by dw(t) dialt) where J is the mass moment of inertia in kg-m2, b is the damping coefficient in N-m-s, K is the motor...
Question 3 (5 points) For the electro-mechanical system below, what is the inertia reflected at the...
Question 3 (5 points) For the electro-mechanical system below, what is the inertia reflected at the motor shaft, Jm = _ - (Note if your answer involves decimal, write it with two significant digits (#xx) rounded up) what is the inerti 071 ea() N = 50 OJ = 5 kg-m2 = 5 ke.m2 D = 8 N-m-s/rad N2 = 150 -0.12 = 18 kg-m2-A D2 = 36 N-m-s/rad! (1)
Figure 1 shows a mechanical system suspended between a fixed ceiling and a moving base. Taking...
Figure 1 shows a mechanical system suspended between a fixed ceiling and a moving base. Taking the base motion zin(t) as the input to this system, please answer the following: Fixed Zin() Moving base Figure 1: Problem 1: One-mass moving base system. (a) (2 points) Draw a free-body diagram for mass m clearly showing your sign conventions for the co- ordinates and external forces. (Assume the spring is pre-compressed under the weight mg, e.g. the z and Zin coordinates are...
Problem 3: For the mechanical system shown below, perform the following tasks: 1) Develop second-order differential equ...
Problem 3: For the mechanical system shown below, perform the following tasks: 1) Develop second-order differential equations of motion for the position of the two hinged bars assuming small angles of motion and using angular rotation of bars 1 and 2 as the output variables, 2) write the equations of motion in state-space form, 3) state the output vector for force in spring k2. Note: Gravity acts downward with acceleration 'g O2 dz m2, L2 my L d3 www.jwwww B...
Problem 3 (10 points). Consider the weakly coupled mechanical system shown in figure 2. Let are:...
Problem 3 (10 points). Consider the weakly coupled mechanical system shown in figure 2. Let are: k be the stiffness of the spring and mi-m2- m. Given that the initial conditions 1(0)0 6,(0)-A Oz(0)-0 02(0)0 I. Compute the complete solution of the system linearized around θ1 θ2 0 2. Given the numerical values in the following table, plot θ1(t) and θ2(t) on the same figure for 0 << 100s. Give a physical interpretation of what is happening Parameter Numerical Value...
i want to get part c,d The figure below is a gear-train mechanical system driven by...
i want to get part c,d
The figure below is a gear-train mechanical system driven by a prescribed motion in the form of an angular displacement y(t). The motion is caused by an applied torque T(t) generated by a motor. The mass moment of inertias of the motor and the driving gear are J and J, respectively, whereas the mass moment of inertias of the load and the driven gear are J, and J2, respectively. The radii and angular displacements...
Consider the mechanical dynamics of a 2DOF rotary motion system shown below, where the torque is...
Consider the mechanical dynamics of a 2DOF rotary motion system shown below, where the torque is applied to the right shaft but the angular position of the left shaft is to be controlled, k is the stiffness of the linear rotary spring and b is the viscous friction coefficient of the ball bearing that supports the right shaft and acts as a linear viscous damper with rotary motion. The left shaft is only supported by the right shaft, so there...
Figure 3 shows a lumped-parameter representation of a concept for a MEMS "tuning fork gyro- scope"...
Figure 3 shows a lumped-parameter representation of a concept for a MEMS "tuning fork gyro- scope" for measuring angular velocity. Displacement 21(t), 22(t), and y(t) are absolute positions of the inertia elements m, m2, and m3, respectively, and are measured from their static equi- librium positions where there is no deflection in the springs. The system friction is represented by three ideal lumped dashpot elements bi, by, and by. Two external forces fi(t) and fa(t) are applied to masses m,...
1.2 [12 points] Determine the transfer functions for the following systems. (a) A system described by...
1.2 [12 points] Determine the transfer functions for the following systems. (a) A system described by the signal flow graph below: -1 Figure 2 (b) A second-order system with input u and output y described by the state variable model below: i- Ax + Bu y -2x, 01 where x- A-TT
Electro-Mechanical Systems The electro-mechanical system shown below consists of an electric motor with input voltage V, which drive inertia I in the mechanical system (see torque T). Find the governing differential equations of motion for this electro-mechanical system in terms of the input voltage to the motor and output displacement y. Electrical System L > Vbac Voac Motor I - Motor Input Voltage Vpac - Motor Back EMF = Kas 0 0 - Motor Angular Velocity I - Motor Output...
u(t) ta(t) e(t) A DC motor is a electro-mechanical system, where mechanical motor is coupled with an electrical circuit. The motor shows up in the circuit equation as a voltage loss proportional to the motor speed, and the electrical system shows up as the input torque proportional to the armatura current DC motor equations are given by dw(t) dialt) where J is the mass moment of inertia in kg-m2, b is the damping coefficient in N-m-s, K is the motor...
Question 3 (5 points) For the electro-mechanical system below, what is the inertia reflected at the motor shaft, Jm = _ - (Note if your answer involves decimal, write it with two significant digits (#xx) rounded up) what is the inerti 071 ea() N = 50 OJ = 5 kg-m2 = 5 ke.m2 D = 8 N-m-s/rad N2 = 150 -0.12 = 18 kg-m2-A D2 = 36 N-m-s/rad! (1)
Figure 1 shows a mechanical system suspended between a fixed ceiling and a moving base. Taking the base motion zin(t) as the input to this system, please answer the following: Fixed Zin() Moving base Figure 1: Problem 1: One-mass moving base system. (a) (2 points) Draw a free-body diagram for mass m clearly showing your sign conventions for the co- ordinates and external forces. (Assume the spring is pre-compressed under the weight mg, e.g. the z and Zin coordinates are...
Problem 3: For the mechanical system shown below, perform the following tasks: 1) Develop second-order differential equations of motion for the position of the two hinged bars assuming small angles of motion and using angular rotation of bars 1 and 2 as the output variables, 2) write the equations of motion in state-space form, 3) state the output vector for force in spring k2. Note: Gravity acts downward with acceleration 'g O2 dz m2, L2 my L d3 www.jwwww B...
Problem 3 (10 points). Consider the weakly coupled mechanical system shown in figure 2. Let are: k be the stiffness of the spring and mi-m2- m. Given that the initial conditions 1(0)0 6,(0)-A Oz(0)-0 02(0)0 I. Compute the complete solution of the system linearized around θ1 θ2 0 2. Given the numerical values in the following table, plot θ1(t) and θ2(t) on the same figure for 0 << 100s. Give a physical interpretation of what is happening Parameter Numerical Value...
i want to get part c,d
The figure below is a gear-train mechanical system driven by a prescribed motion in the form of an angular displacement y(t). The motion is caused by an applied torque T(t) generated by a motor. The mass moment of inertias of the motor and the driving gear are J and J, respectively, whereas the mass moment of inertias of the load and the driven gear are J, and J2, respectively. The radii and angular displacements...
Consider the mechanical dynamics of a 2DOF rotary motion system shown below, where the torque is applied to the right shaft but the angular position of the left shaft is to be controlled, k is the stiffness of the linear rotary spring and b is the viscous friction coefficient of the ball bearing that supports the right shaft and acts as a linear viscous damper with rotary motion. The left shaft is only supported by the right shaft, so there...
Figure 3 shows a lumped-parameter representation of a concept for a MEMS "tuning fork gyro- scope" for measuring angular velocity. Displacement 21(t), 22(t), and y(t) are absolute positions of the inertia elements m, m2, and m3, respectively, and are measured from their static equi- librium positions where there is no deflection in the springs. The system friction is represented by three ideal lumped dashpot elements bi, by, and by. Two external forces fi(t) and fa(t) are applied to masses m,...
1.2 [12 points] Determine the transfer functions for the following systems. (a) A system described by the signal flow graph below: -1 Figure 2 (b) A second-order system with input u and output y described by the state variable model below: i- Ax + Bu y -2x, 01 where x- A-TT
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