Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Chapter 2, Problem 34P
Find the transfer function,
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Given the following translational mechanical system, find the transfer function G(s):
-x, (t)
+-x₂(t)
f(t)
3 kg
1 N/m
-0000
1 N-s/m
ㄸ
1 N-s/m
2 kg
X₂ (8)
F(s)
1. Draw and write the force equation of the linear translational system shown, and find the transfer
function at figure a. and b. . Set Mg = 0 for the transfer functions.
B2
B
M
M
K
B
flt) + Mg
A) + Mg
(a)
(b)
Chapter 2 Solutions
Control Systems Engineering
Ch. 2 - Prob. 1RQCh. 2 - Prob. 2RQCh. 2 - Prob. 3RQCh. 2 - Define the transfer function.Ch. 2 - Prob. 5RQCh. 2 - What do we call the mechanical equations written...Ch. 2 - If we understand the form the mechanical equations...Ch. 2 - Why do transfer functions for mechanical networks...Ch. 2 - What function do gears perform?Ch. 2 - What are the component parts of the mechanical...
Ch. 2 - The motor’s transfer function relates armature...Ch. 2 - Summarize the steps taken to linearize a nonlinear...Ch. 2 - Prob. 1PCh. 2 - Prob. 2PCh. 2 - Prob. 3PCh. 2 - Prob. 4PCh. 2 - Prob. 5PCh. 2 - Prob. 6PCh. 2 - Prob. 7PCh. 2 - A system is described by the following...Ch. 2 - For each of the following transfer functions,...Ch. 2 - Write the differential equation for the system...Ch. 2 - Write the differential equation that is...Ch. 2 - Prob. 12PCh. 2 - Use MATLAB to generate the MATLAB ML transfer...Ch. 2 - Repeat Problem 13 for the MATLAB following...Ch. 2 - Use MATLAB to generate the partial fraction...Ch. 2 - Use MATLAB and the Symbolic Math Symbolic Math...Ch. 2 - Prob. 17PCh. 2 - Prob. 18PCh. 2 - Prob. 19PCh. 2 - Repeat Problem 19 using nodal equations. [Section:...Ch. 2 - Prob. 22PCh. 2 - Prob. 23PCh. 2 - Prob. 24PCh. 2 - Prob. 25PCh. 2 - Prob. 26PCh. 2 - Prob. 27PCh. 2 - Prob. 28PCh. 2 - Prob. 29PCh. 2 - Write, but do not solve, the equations of motion...Ch. 2 - For the unexcited (no external force applied)...Ch. 2 - For each of the rotational mechanical systems...Ch. 2 - For the rotational mechanical system shown in...Ch. 2 - Find the transfer function, 1sTs , for the system...Ch. 2 - For the rotational mechanical system with gears...Ch. 2 - For the rotational system shown in Figure P2.21,...Ch. 2 - Prob. 37PCh. 2 - Find the transfer function, Gs=4s/Ts , for the...Ch. 2 - For the rotational system shown in Figure P2.24,...Ch. 2 - Prob. 40PCh. 2 - Given the rotational system shown in Figure P226,...Ch. 2 - In the system shown in Figure P2.27, the inertia,...Ch. 2 - Prob. 43PCh. 2 - Given the combined translational and rotational...Ch. 2 - Prob. 45PCh. 2 - The motor whose torque-speed characteristics are...Ch. 2 - A dc motor develops 55 N-m of torque at a speed of...Ch. 2 - 48. In this chapter, we derived the transfer...Ch. 2 - Prob. 49PCh. 2 - Find the series and parallel analogs for the...Ch. 2 - Find the series and parallel analogs for the...Ch. 2 - A system’s output, c, is related to the system’s...Ch. 2 - Prob. 53PCh. 2 - Consider the differential equation...Ch. 2 - 55. Many systems are piecewise linear. That is,...Ch. 2 - For the translational mechanical system with a...Ch. 2 - 57. Enzymes are large proteins that biological...Ch. 2 - Prob. 58PCh. 2 - Figure P2.36 shows a crane hoisting a load....Ch. 2 - 60. In 1978, Malthus developed a model for human...Ch. 2 - 61. In order to design an underwater vehicle that...Ch. 2 - 62. The Gompertz growth model is commonly used to...Ch. 2 - A muscle hanging from a beam is shown in Figure...Ch. 2 - A three-phase ac/dc converter supplies dc to a...Ch. 2 - Prob. 65P
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- Correct and complete solution please don't copyarrow_forward4. For Mechanical translational system shown below; Draw the free body diagram of the system, showing all the forces acting on the body and Find the transfer functions (1) fv, = 4 N-s/m K= 5 N/m vy = 4N-s/m M= 4kg -M2 = 4 kg Svz=4 N-s/m fv,=4 N-s/m 5. Find the transfer function, , for each network shown below 2 H 2Ω 1F + v() 2 H VL(1) IF 2H (a) (b)arrow_forwardTake the K1=1 N/m, K2=2 N/m, fv=1 N-s/m, M1=M2=2 kg, and find the transfer function offigure 2.1.note : Use the keyboard, dont write by handarrow_forward
- Subject: mechanicalarrow_forwardQuestion 4: For the system given in the below figure, assume that: u(t) e(t) y(t) G(s) H(s) (a) Find the transfer function Y(s)/U(s) in the most simplified form.arrow_forward2 N-s/m x2(1) x3(t) 2 N-s/m 6 N/m 6 N/m 4 kg 4 kg 2 N-s/m o 4 kg H H Frictionless a. Convert the translational mechanical system into an equivalent mechanical network (similar to an electrical circuit). b. Find the transfer function G(s) X3(s) F(s)arrow_forward
- P3) Find the transfer function (T.F.) of the systems as in the following fig.p3, 9 m K₂ C₂ fig.p3 ٤/٢ ... ...arrow_forward25. For the system shown in Figure P4.7, do the follow- ing: [Section: 4.6] a. Find the transfer function G(s) = X(s)/F(s). b. Find $, om, %OS, T;, Тр, and T,. 28 N/m x(t) 3 kg f(t) 5 N-s/m FIGURE P4.7arrow_forwardThe hydraulic system shown below is operating at a steady state when the inlet flow pump pressure perturbated by AP Write the appropriate governing equations in the Laplace domain for the system to obtain the transfer function (3) Don't simplify. ΔΡ Ap R₁ 000 A₂ R₂ 禾arrow_forward
- 24. Find the transfer function, G(s) = X2(s)/F(s), for the translational mechanical system shown in Figure P2.11. (Hint: Place a zero mass at x2(t).) %3D ft) – 5 kg 10 N/m N-s/marrow_forwardPlease solve with stepsarrow_forward32. For the rotational mechanical system with gears shown in Figure P2.18, find the transfer function, G(s) = 03(s)/T(s). The gears have inertia and bear- ing friction as shown. [Section: 2.7] T(t) to |N1 小D N2 N3 2, D2 Jz, D3 03(1) N4 J4. D4 J5. D5 FIGURE P2.18 sairarrow_forward
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