For the system shown in Figure 1, a step torque is applied at 0,(t). (a) Develop...
Consider the translational mechanical system shown in the figure. A 1-pound force, f(t), is applied at t = 0. If fo = 1, find K and M such that the response is characterized by a 4- second settling time and a 1-second peak time. Also, what is the resulting percent overshoot? ft
Question 3) Consider the mechanical system shown in figure, T(t) is the torque applied to shaft 1 and z(t) is the rotation of shaft 2. J.Jz and Jz are the inertias of shafts 1,2 and 3 respectively, N,,N,N, and N, are the number of teeths of the gears,, D1, D, and D3 are the coefficient of viscous damping associated with shafts 1, 2 and 3 respectively, K is the spring constant of the torsional spring attached to shaft 3. Write...
please show steps For the system shown in the figure. a. Find the transfer function 0,(s)/T(S). b. Find the damping Dyo yield a 20% gvershoot in output angular displacement for a step torque input. N =25 kg-r W3 10 N2=5 D N-m/rad N4 5 0000 For the system shown in the figure. a. Find the transfer function 0,(s)/T(S). b. Find the damping Dyo yield a 20% gvershoot in output angular displacement for a step torque input. N =25 kg-r W3...
Please write down the steps by steps solution, thank you! Question 1 Figure Q1 shows a mechanical system. The system input is T) and output is supposed to be 0. Please find the transfer function from T to θ 3, and discuss the stability of the system if the input is a unit impulse signal. (30 marks) To 01(t) 01t) I kg-m2 N 10 030) N2 100 100 kg-m2 100 N-m/rad 100 N-m-s/rad Figure Q1 Question 1 Figure Q1 shows...
Question three The figure below shows a unit step response of a second order system. From the graph of response find: 1- The rise timet, 2- The peak timet, 3- The maximum overshoot Mp 4- The damped natural frequency w 5. The transfer function. Hence find the damping ratio ζ and the natural frequency ah-Find also the transfer function of the system. r 4 02 15 25 35 45 Question Four For the control system shown in the figure below,...
The DC Voltmeter schematic shown has an input torque of T=km*V, the pointer is damped with a damping coefficient of b, and is damped so its max overshoot to a step input is 10%. A) Find the equation of motion for the system. B) Find the transfer function for the system. = 40X 10 kg m2 k4X 10 k m2/sec T input torque Ku input voltage -4X 10 N. m/V 6 K. = 40X 10 kg m2 k4X 10 k...
A torque of 35.9 N · m is applied to an initially motionless wheel which rotates around a fixed axis. This torque is the result of a directed force combined with a friction force. As a result of the applied torque the angular speed of the wheel increases from 0 to 10.3 rad/s. After 6.20 s the directed force is removed, and the wheel comes to rest 60.2 s later. (a) What is the wheel's moment of inertia (in kg...
A torque of 35.9 N · m is applied to an initially motionless wheel which rotates around a fixed axis. This torque is the result of a directed force combined with a friction force. As a result of the applied torque the angular speed of the wheel increases from 0 to 9.7 rad/s. After 6.10 s the directed force is removed, and the wheel comes to rest 60.2 s later. (a) What is the wheel's moment of inertia (in kg...
Design a controller for the transfer function)5)(1(1)(++=sssGto obtain (i) zero steady-stateerror due to step, (ii) a settling time of less than 2 s, and (iii) an undamped natural frequency of 5 rad/s. Obtain the response due to a unit step and find the percentage overshoot, the time to the first peak and steady-state error percent due to a ramp input
MP5.8 Develop a Simulink simulation that can be used to analyze the closed-loop system in Figure MP5.8. Drive the system with a step input and display the output on a graph. What is the settling time and the percent overshoot? s + 20 10s +1 Nonunity feedback system for Simulink FIGURE MP5.8 simulation.