Problem 2 (25 points) For the rotational mechanical system with gears shown below, find the transfer...
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
IL IULIUCI. (Q3) Consider below rotational mechanical system. Find the transfer function between 02(s) and T(s), that is find G(s) = 0; (5) T(s) en(t) T(t) 1) N1=20 W 1 N3=30 02(t) 450 kg.m? N2=100 225 N.m/rad --00004 Ny=90 5 N.m.s/rad 3 N.m.s/rad
Q2 A rotational mechanical system is shown in Figure 2.1. T(t) is the external torque and is the input to the system. 01(t) is the angular displacement of inertia Ji and O2(t) is the angular displacement of inertia J2. C and C are friction coefficients and K, and K2 are spring constants. (a) Draw the free-body diagrams for J; and Jz. (7 marks) (b) Derive the equations of motion for the system shown in Figure 2.1. (8 marks) (c) Using...
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...
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
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...
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...
PROBLEM 1 (35 %) The mechanical system in the figure below consists of a disk of radius r, a block of mass m, a spring of stiffness (spring constant) k, and a damper with damping ratio b. The disk has moment of inertia Jabout its center of mass (pivot point O), and the block is subjected to an external force t) as shown in the figure. The spring is unstressed when x 0= 0. Assume small 0. (a) (10 points)...
Find the transfer function (X/F) for the mechanical system shown below