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IL IULIUCI. (Q3) Consider below rotational mechanical system. Find the transfer function between 02(s) and T(s),...
Question 3 Find the transfer function, G(s) s) / T(s), for the rotational mechanical system in Fig. Q3 below. The gears have inertia and bearing friction as shown. (20 marks) 3 Nm/rad 2 Nms/rad + 1 kg/m? N3 = 100 N2 = 100 T(t) N4 = 20 N = 20 0.04 Nms/rad Fig. Q3
θ2(s)/T(s) for the following rotational mechanical system Problem 4: Find the transfer function G(s) TO) N1 = 4 Di 1 N-m-s/rad N2 121 kg-m2 N3-4 D2-2 N-m-s/rad K 64 N-m/rad- N4 16 D3 32 N-m-s/rad -16 kg-m2 000
6. For the following mechanical system: a) Find a mathematical model b) Find the transfer function, G(s) = c Find impulse, step and ramp response by using MATLAB functions d) Find harmonic response by using MATLAB SIMULINK T(s) 2 N-m-s/rad 2 N-m/rad N2-20 T0) l kg-m2 N3-40 010 N1-5 N4-10 0.02 N-m-s/radl 6. For the following mechanical system: a) Find a mathematical model b) Find the transfer function, G(s) = c Find impulse, step and ramp response by using MATLAB...
Problem 2 (25 points) For the rotational mechanical system with gears shown below, find the transfer function G(s)-0s(s)/T(s). The gears have inertia and bearing friction as shown T(0) Ji. D N2 N3 2. D2 14. D
2) Find the transfer function for the following rotational system (25%) G(s) = 02(*)/T(s) TO I N-m-s/rad fo 1 kg-m? = 25 8.(1) N>= 50 + 0000 4 N-m/rad HHHH
Determine the transfer function between the angular movement [deg] of inertia and applied torque [N.m].Jm 6 kg m2 N1-25 N3 10 T(t) t) B J0.5 kg m2 N2-15 Www k 2 Nm/rad N4 5 e(t) T(t) Jm 6 kg m2 N1-25 N3 10 T(t) t) B J0.5 kg m2 N2-15 Www k 2 Nm/rad N4 5 e(t) T(t)
s) Given the following rotational mechanical system, hot relates the input variable T (applied torque) to the output a) Write the differential equation that re variable angular displacement) b) Convert the differential equatio c) Write the Transfer function of the system (I. w ent the differential equation to Laplace domain assuming initial conditions Zero Consider the following values for the parameters: J - 2 kg-m? (moment of inertial of the mass) D = 0.5 N-m-s/rad (coefficient of friction) K-1 N-m/rad...
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...
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...