Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Chapter 2, Problem 10RQ
What are the component parts of the
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Find the transfer function 8,(s) / T(s) of the given mechanical network below. Show your complete solution on a
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• List of torques exerted in tabular form (
• Clearly stated equations (
• Solution on how to find the transfer function from these equations
IN-m/rad
T)
02(1)
for
f I kg-m2
IN-m-s/rad
I N-m-s/rad
I N-m-s/rad
Transfer function on translational mechanical system
Find the transfer function of the following mechanical system given in Fig. (1).
k1
In 1
k2
bi
u2
m2
Fig.(1)
ww
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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- The following figure shows a machine of mass m mounted on a vibration isolator. The machine (starting at rest at t=0) is subjected to a sinusoidal excitation force p(t) = P sin wt. Solve for the transfer function X(s)/P(s). Then state in words the process you would then follow to determine the force transmissibility, TR. p(t) = P sin wi m b₂arrow_forward1. A force F is applied to the mass m₂ in Figure 1, where k₁ and k₂ are the spring constants, b₁ is the damping constant and b₂ is the friction coefficient, x₁ and x₂ are the displacement. Find the transfer function X₁/F. K₁ wwww no chat GPT, HAND WRITTEN PLEASE m1 X1 b₁ + K₂ No friction Figure 1 M₂ X2 Friction b₂ LL Farrow_forwardSolve the transfer function of the Mechanical system as shown below. Find X₁(s)/U(s) and X₂ (s)/U(s). Where x is displacement, m is mass, k is spring constant and u is force. k₁ 21 m1 -X1 k₂ ww + b m2 x2 www k3arrow_forward
- *1(1) fv, K1 K2 M2 oll fv (a) F(s) X,(8) G(s) (b) Figure 1 Given in Figure 1 (a) Two-degree-of freedom translational mechanical system and (b) Block diagram, find the transfer function of G(s) = *:6 F(s)arrow_forward4 N-s/m 5 N/m 5 kg Is the spring involved in the transfer function between the force and the position, x1?arrow_forward2. For the system below, find the transfer function fromfi to x (driving point receptance) and from f. to ä, (driving point accelerance). What is the acceleration response of mass m, if m; = 2 kg, m; = 4 kg, k, = 40 N/m, k =100 N/m, and k; = 200 N/m, fi(t) = 20 cos(3t) N and f:(r) = 0? WW m, WW m Warrow_forward
- How can a transfer function be derived from a system model, and what information does it provide about the system's behavior?arrow_forwardDescribe the concept of a transfer function in the context of system modeling. How is it used to represent a system's behavior?arrow_forwardGet the equation of motion by drawing the free body diagram of the given systems. a) Get the system's transfer function and find the unit digit answer. Show all decals in detail. m = 1 kg b= 20 Ns/m k = 125 N/m F ww k b) get the transfer function of the system. X(s)/Pg(s) =? Show all decals in detail. resistance R k Pg massless piston area (A) capacitancearrow_forward
- 9. Derive the transfer function X₂ (s)/F(s) for the mechanical system shown in Figure 2. Assume the following values: M₁ = 3 kg, M₂ = 2 kg, K₁ = 5 N/m, K₁= 3 N/m, D₁ = 1 N.s/m, wwwwwwww K₁ oooo Fo M₁ 0000 K₂ Figure 2 M₂ m 1(1)arrow_forwardRotational Mechanical System: Find the transfer function for each rotational mechanicalnetwork shown belowarrow_forwardFind the transfer functions G(S) = 02(s) for rotational system in Figure 1. T(s) 250 N-m/rad N3 = 50 200 kg-m² T(1) 6 kg-m?) N1 = 5 0,(1) 250 N-m/rad - so90 200 kg-m² N2 = 50 Figure 1 1000 N-m-s/rad R1000 N-m-s/radarrow_forward
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