Under typical operating condtons, the torgue generatad by a DC motor is dractly proportional to he cument passing through where sa proportionality constant datermined by the charactaristics of the specitie motor. This reiationshp tais tor large values of i When the armature ratates, generates a back electromotive force (back EMF) hat opcposas the applied vatage. In the circut dagram, tis is rapresentad by a motor symbol. The votage drop due to the back EMF, danoted ei proportional ohe rtational velocity of the amatre e- where isa constart ot proportionaity. To derive the reiationstip betwean he cument i and the motor shat angular position e. you can apply Kirchnots voitage law and Nowtoris second law in terms of torgues acting on the motor shat. Kirchhofs voltage law imples that the sum of the voltage drops across the cirout must equal he applied voitage: where vis the electie potantal applied to the motor. In he absance of oher applied torques, the equation af motion can be deived by balancing the inarta of the motor shat J) wn ne appled torque (T)and tronal resistance ( Jõ=T-B Using the inear relationship batwoen torgue and aumant, his is equivalent to: (2 LExeroice. in this exarcisa, you will compute transter tunctions of the DC motor systam. Assume that the system starts at rest (i-i-0-0-0, Asa, assume hat the appliad voltage is a tunction of time -. (a) Compute the Laplace transtom of the vatage consenvation equation (1) and apply the inital conditons. Type your resut balow in tems of he defined symbole varabies Pro-tp When you wta a symbolc equaton, you assign the whole aquation to a MATLAB varatie using the assignment operator- (singie equas). The equas sign in the symbolic eguaton is w equais. For exampie riten using "" (double wyy rtey

Using the matlab computer software, write the code to plot the graph y = e" R3 as a surface on You can use a set of values between -5 to 5 for your operations

3. Apply Thèvenin's theorem to find Vo in the circuit of Fig. 42 1Ω ww 5Ω 3 A 16 2 10 Ω 12 V

A uniform Simply-supported beam is found to vibrate in its first mode with the amplitude of 12 mm at its center. Assume E=200 GPa, I = 1000 mm“ , p=7500 kg/m², A=50mm² and L=2 m. Determine the maximum bending moment in the beam. Also find the first three natural frequencies.

The em.f. of a primary cell is x V, when it is shorted then it gives a current of y A. Calculate internal resistance! of primary cell. Take the x and y from user in java programming language

where is it demonstrated that the Hamiltonian circuit's tour length is, at most, 4/3 times that of the ideal TSP trip.

19. For the network of Fig. 6.82 D, find: a. The voltage V. b. The current /2. c. The current I,. d. The power to the 12 kQ resistor. 12 kΩ 18 kN 48 V Is + v - 3 kN 12

2. calculates the trajectory r(t) and stores the coordinates for time steps At as a nested list trajectory that contains [[xe, ye, ze], [x1, y1, z1], [x2, y2, z2], ...]. Start from time t = 0 and use a time step At = 0.01; the last data point in the trajectory should be the time when the oscillator "hits the ground", i.e., when z(t) ≤ 0; 3. stores the time for hitting the ground (i.e., the first time t when z(t) ≤ 0) in the variable t_contact and the corresponding positions in the variables x_contact, y_contact, and z_contact. Print t_contact = 1.430 X_contact = 0.755 y contact = -0.380 z_contact = (Output floating point numbers with 3 decimals using format (), e.g., "t_contact = {:.3f}" .format(t_contact).) The partial example output above is for ze = 10. 4. calculates the average x- and y-coordinates 1 y = Yi N where the x, y, are the x(t), y(t) in the trajectory and N is the number of data points that you calculated. Store the result as a list in the variable center = [x_avg, y_avg]…

Hi! Please can I have the solution for this question