Engineering Mechanics: Dynamics
8th Edition
ISBN: 9781118885840
Author: James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher: WILEY
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Chapter 7.5, Problem 1P
To determine
The conclusion concerning the
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Using MATLAB , find the magnitude and phase plot of the compensators
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A union feedback control system has the following open loop transfer function
where k>0 is a variable proportional gain
i. for K = 1 , derive the exact magnitude and phase expressions of G(jw).
ii) for K = 1 , identify the gaincross-over frequency (Wgc) [where IG(jo))| 1] and phase cross-overfrequency [where <G(jw) = - 180]. You can use MATLAB command "margin" to obtain there quantities.
iii) Calculate gain margin (in dB) and phase margin (in degrees) ·State whether the closed-loop is stable for K = 1 and briefly justify your answer based on the margin . (Gain marginPhase margin)
iv. what happens to the gain margin and Phase margin when you increase the value of K?you
You can use for loop in MATLAB to check that.Helpful matlab commands : if, bode, margin, rlocus
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Chapter 7 Solutions
Engineering Mechanics: Dynamics
Ch. 7.5 - Place your textbook on your desk, with fixed axes...Ch. 7.5 - Repeat the experiment of Prob. 7/1 but use a small...Ch. 7.5 - Prob. 3PCh. 7.5 - A timing mechanism consists of the rotating...Ch. 7.5 - Prob. 5PCh. 7.5 - Prob. 6PCh. 7.5 - Prob. 7PCh. 7.5 - Prob. 8PCh. 7.5 - Prob. 9PCh. 7.5 - Prob. 10P
Ch. 7.5 - Prob. 11PCh. 7.5 - Prob. 12PCh. 7.5 - Prob. 13PCh. 7.5 - In manipulating the dumbbell, the jaws of the...Ch. 7.5 - Prob. 15PCh. 7.5 - Prob. 16PCh. 7.5 - For the robot of Prob. 7/16, determine the angular...Ch. 7.5 - Prob. 18PCh. 7.5 - Prob. 19PCh. 7.5 - The circular disk of 120-mm radius rotates about...Ch. 7.5 - Prob. 21PCh. 7.5 - Prob. 22PCh. 7.5 - Prob. 23PCh. 7.5 - Prob. 24PCh. 7.5 - Prob. 25PCh. 7.5 - Prob. 26PCh. 7.5 - The pendulum oscillates about the x-axis according...Ch. 7.5 - Prob. 28PCh. 7.6 - Prob. 29PCh. 7.6 - Prob. 30PCh. 7.6 - Prob. 31PCh. 7.6 - Prob. 32PCh. 7.6 - Prob. 33PCh. 7.6 - Prob. 34PCh. 7.6 - Prob. 35PCh. 7.6 - Prob. 36PCh. 7.6 - Prob. 37PCh. 7.6 - Prob. 38PCh. 7.6 - Prob. 39PCh. 7.6 - Prob. 40PCh. 7.6 - Prob. 41PCh. 7.6 - Prob. 42PCh. 7.6 - Prob. 43PCh. 7.6 - Prob. 44PCh. 7.6 - Prob. 45PCh. 7.6 - Prob. 46PCh. 7.6 - The center O of the spacecraft is moving through...Ch. 7.6 - Prob. 48PCh. 7.6 - Prob. 49PCh. 7.6 - Prob. 50PCh. 7.6 - Prob. 51PCh. 7.6 - Prob. 52PCh. 7.8 - Prob. 53PCh. 7.8 - Prob. 54PCh. 7.8 - The aircraft landing gear viewed from the front is...Ch. 7.8 - Prob. 56PCh. 7.8 - Prob. 57PCh. 7.8 - Prob. 58PCh. 7.8 - Prob. 59PCh. 7.8 - Prob. 60PCh. 7.8 - Prob. 61PCh. 7.8 - Prob. 62PCh. 7.8 - Prob. 63PCh. 7.8 - Prob. 64PCh. 7.8 - Prob. 65PCh. 7.8 - Prob. 66PCh. 7.8 - Prob. 67PCh. 7.8 - Prob. 68PCh. 7.8 - Prob. 69PCh. 7.8 - Prob. 70PCh. 7.8 - The assembly, consisting of the solid sphere of...Ch. 7.8 - Prob. 72PCh. 7.10 - Prob. 73PCh. 7.10 - The slender shaft carries two offset particles,...Ch. 7.10 - Prob. 75PCh. 7.10 - Prob. 76PCh. 7.10 - Prob. 77PCh. 7.10 - Prob. 78PCh. 7.10 - Prob. 79PCh. 7.10 - Prob. 80PCh. 7.10 - Prob. 81PCh. 7.10 - Prob. 82PCh. 7.10 - Prob. 83PCh. 7.10 - Prob. 84PCh. 7.10 - Prob. 85PCh. 7.10 - Prob. 86PCh. 7.10 - The thin circular disk of mass m and radius R is...Ch. 7.10 - Prob. 88PCh. 7.10 - Prob. 89PCh. 7.10 - Prob. 90PCh. 7.10 - Prob. 91PCh. 7.10 - Prob. 92PCh. 7.10 - Prob. 93PCh. 7.10 - Prob. 94PCh. 7.11 - Prob. 95PCh. 7.11 - Prob. 96PCh. 7.11 - Prob. 97PCh. 7.11 - The 50-kg wheel is a solid circular disk which...Ch. 7.11 - The special-purpose fan is mounted as shown. The...Ch. 7.11 - Prob. 100PCh. 7.11 - Prob. 101PCh. 7.11 - Prob. 102PCh. 7.11 - Prob. 103PCh. 7.11 - Prob. 104PCh. 7.11 - Prob. 105PCh. 7.11 - Prob. 106PCh. 7.11 - Prob. 107PCh. 7.11 - Prob. 108PCh. 7.11 - Prob. 109PCh. 7.11 - Prob. 110PCh. 7.11 - Prob. 111PCh. 7.11 - Prob. 112PCh. 7.11 - Prob. 113PCh. 7.11 - Prob. 114PCh. 7.11 - Prob. 115PCh. 7.11 - Prob. 116PCh. 7.11 - Prob. 117PCh. 7.11 - Prob. 118PCh. 7.11 - Prob. 119PCh. 7.11 - Prob. 120PCh. 7.11 - Prob. 121PCh. 7.11 - The uniform slender bar of mass m and length l is...Ch. 7.11 - Prob. 123PCh. 7.11 - Prob. 124PCh. 7.11 - Prob. 125PCh. 7.11 - Prob. 126PCh. 7.12 - Prob. 127RPCh. 7.12 - The solid cube of mass m and side a revolves about...Ch. 7.12 - Prob. 129RPCh. 7.12 - Prob. 130RPCh. 7.12 - Prob. 132RPCh. 7.12 - The solid cone of mass m, base radius r, and...Ch. 7.12 - Prob. 135RPCh. 7.12 - Prob. 136RPCh. 7.12 - Prob. 137RPCh. 7.12 - Prob. 138RPCh. 7.12 - Prob. 139RPCh. 7.12 - Prob. 140RPCh. 7.12 - Prob. 141RPCh. 7.12 - Prob. 142RPCh. 7.12 - Prob. 143RPCh. 7.12 - Prob. 144RPCh. 7.12 - Prob. 145RPCh. 7.12 - Prob. 146RP
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- A 10-kg box is pulled along P,Na rough surface by a force P, as shown in thefigure. The pulling force linearly increaseswith time, while the particle is motionless att = 0s untilit reaches a maximum force of100 Nattimet = 4s. If the ground has staticand kinetic friction coefficients of u, = 0.6 andHU, = 0.4 respectively, determine the velocityof the A 1 0 - kg box is pulled along P , N a rough surface by a force P , as shown in the figure. The pulling force linearly increases with time, while the particle is motionless at t = 0 s untilit reaches a maximum force of 1 0 0 Nattimet = 4 s . If the ground has static and kinetic friction coefficients of u , = 0 . 6 and HU , = 0 . 4 respectively, determine the velocity of the particle att = 4 s .arrow_forwardCalculate the speed of the driven member with the following conditions: Diameter of the motor pulley: 4 in Diameter of the driven pulley: 12 in Speed of the motor pulley: 1800 rpmarrow_forward4. In the figure, shaft A made of AISI 1010 hot-rolled steel, is welded to a fixed support and is subjected to loading by equal and opposite Forces F via shaft B. Stress concentration factors K₁ (1.7) and Kts (1.6) are induced by the 3mm fillet. Notch sensitivities are q₁=0.9 and qts=1. The length of shaft A from the fixed support to the connection at shaft B is 1m. The load F cycles from 0.5 to 2kN and a static load P is 100N. For shaft A, find the factor of safety (for infinite life) using the modified Goodman fatigue failure criterion. 3 mm fillet Shaft A 20 mm 25 mm Shaft B 25 mmarrow_forward
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