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Q.no (i) , (ii) are solved given below:-
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C- A physical system consists of two parts (electrical and rotational mechanical) shown in Fig.1. It...
Question 2 (40 marks) A micro-electrical-mechanical system consists of two members as shown below...
Finite element method
Question 2 (40 marks) A micro-electrical-mechanical system consists of two members as shown below. It is important that the displacement of the slider is accurately known for a given force, F. To find the relation between displacement and F, it was decided to use FE method. Node 1 is fully constrained, node 2 is free to rotate and translate along the horizontal, and node 3 is only free to rotate. (a) Select the appropriate element types for...
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...
The simplified diagram of a DC motor is shown in Fig. 4. Assume that the rotor has inertia m J an...
The simplified diagram of a DC motor is shown in Fig. 4. Assume
that the rotor has inertia m J and viscous friction coefficient Bm.
The torque developed by the motor is assumed to be related linearly
to the field current by , m m f T K i where the motor torque
constant m f a K K K I 1 when the armature current a i is assumed
constant (i.e. ) a a i I...
For the system shown in Fig. 1, solve the following problems. (a) Find the transfer function, G(s...
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...
PARTS: a-c Problem 1 (40 points) The rotational system shown in this diagram has a single...
PARTS: a-c
Problem 1 (40 points) The rotational system shown in this diagram has a single torque input, T(t), and a single angular displacement output, (t). Also shown are the shaft polar moment of inertia, J, torsional spring constant, k, and rotational viscous damping coefficient, c. From the law of rotation (sum of the moments equal to polar moment of inertia times angular acceleration), we obtain: jä(t) + c)(t) + ko(t) = T(t). This ordinary differential equation is second-order, linear...
Q1. For the cascade amplifier circuit shown in Fig (1): a) What are the functions of the capacitors C, C2 and C3? And w...
Q1. For the cascade amplifier circuit shown in Fig (1): a) What are the functions of the capacitors C, C2 and C3? And what are the functions of the capacitors Cs and CE? b) What are the functions of the resistors RD and Rc? c) Draw the DC biasing circuits for each stage. d) Find loa, VGsa, VDs and gm for the JFET stage (you may use either mathematical or graphical methods) e) Calculate l, Ic, le and Ve for...
Finite element method
Question 2 (40 marks) A micro-electrical-mechanical system consists of two members as shown below. It is important that the displacement of the slider is accurately known for a given force, F. To find the relation between displacement and F, it was decided to use FE method. Node 1 is fully constrained, node 2 is free to rotate and translate along the horizontal, and node 3 is only free to rotate. (a) Select the appropriate element types for...
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...
The simplified diagram of a DC motor is shown in Fig. 4. Assume
that the rotor has inertia m J and viscous friction coefficient Bm.
The torque developed by the motor is assumed to be related linearly
to the field current by , m m f T K i where the motor torque
constant m f a K K K I 1 when the armature current a i is assumed
constant (i.e. ) a a i I...
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...
PARTS: a-c
Problem 1 (40 points) The rotational system shown in this diagram has a single torque input, T(t), and a single angular displacement output, (t). Also shown are the shaft polar moment of inertia, J, torsional spring constant, k, and rotational viscous damping coefficient, c. From the law of rotation (sum of the moments equal to polar moment of inertia times angular acceleration), we obtain: jä(t) + c)(t) + ko(t) = T(t). This ordinary differential equation is second-order, linear...
Q1. For the cascade amplifier circuit shown in Fig (1): a) What are the functions of the capacitors C, C2 and C3? And what are the functions of the capacitors Cs and CE? b) What are the functions of the resistors RD and Rc? c) Draw the DC biasing circuits for each stage. d) Find loa, VGsa, VDs and gm for the JFET stage (you may use either mathematical or graphical methods) e) Calculate l, Ic, le and Ve for...
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