Body 1:
Laplace transform:
Body 2:
Laplace transform:
But,
Transfer function:
Given a unit impulse signal for T.
Laplace transform of a unit impulse signal is 1.
This system has 2 poles at the origin (due to s2).
Which indicates a type 2 system.
The system is unstable.
Question 1 Figure Q1 shows a mechanical system. The system input is T) and output is supposed to ...
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 Determine the transfer function 01(s)/M(s) for the shaft-gear mechanical system in the figure, where 1(s) and Ms) are the Laplace transforms of the angle 01(t) and of the moment m(t). Use the time-domain mathematical model of this system. Known are J1, ki, J2, c, k2, Ni and N2. N. 1000 0,m 0 000 N Problem 3 By using the transfer function 1(s)/Ms), determined in Problem 2, calculate and plot 01(t) using the step input command of MATLAB. Known...
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
Question 3 (35 marks) Consider a mechanical system shown in Figure 3. The system is at rest for t<0. The input force f is applied at 0. The displacement x is the output of the system and is measured from the equilibrium position. kI b2 bi it Figure 3. Schematic of a mechanical system. (a) Obtain the traf) (10 marks) X (s) F(s) (b) Use of force-voltage analogy, obtain the equations for an electrical system (5 marks) (c) Draw a...
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...
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
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...
The following figure shows a mechanical system. The input is f and the output is x. what is the response of the system if f(t) = 6N at t=0? M=2, c=8, k=6
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...
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...