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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Find the transfer function G(s) of the mechanical system below.
Find the transfer function, G(s) = Xs(s)/F(s), for the translational mechanical network shown in Figure P2.10
Find the transfer function, G(s) = X3(s)/F(s), for the translational mechanical system shown in Figure P2.13.
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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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- Find the transfer function, X2(s)/F(s) For the system show in the figure.arrow_forwardFor the rotational mechanical system shown, find the transfer function Ɵ1(s)/T(s) and Ɵ2(s)/T(s).arrow_forwardFind the transfer function, G(s)=X2(s)/F(s), for the translational mechanical system shown in Figure 2.21.arrow_forward
- 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)arrow_forward1. 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)arrow_forwardb) Obtain the transfer function of the system. X(s)/Y(s) =? Show all intermediate operations in detail.arrow_forward
- 4. 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_forwardQuestion: - Find the transfer function X3(s)/F(s) for the systems shown in (a) and (b) below.arrow_forwardFind the transfer function.arrow_forward
- Question 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_forwardP3) Find the transfer function (T.F.) of the systems as in the following fig.p3, 9 m K₂ C₂ fig.p3 ٤/٢ ... ...arrow_forward
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