Engineering Mechanics: Statics
13th Edition
ISBN: 9780132915540
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Chapter 7.4, Problem 114P
A telephone line (cable) stretches between two points which are 150 ft apart and at the same elevation. The line sags 5ft and the cable has a weight of 0.3 lb/ft. Determine the length of the cable and the maximum tension in the cable.
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14) f(t)=1, 0
Find the solution of the following Differential Equations
Using Laplace Transforms
1) 4y+2y=0.
y(0)=2.
y'(0)=0.
2) y+w²y=0,
(0)=A,
y'(0)=B.
3) +2y-8y 0.
y(0)=1.
y'(0)-8.
4)-2-3y=0,
y(0)=1.
y'(0)=7.
5) y-ky'=0,
y(0)=2,
y'(0)=k.
6) y+ky'-2k²y=0,
y(0)=2,
y'(0) = 2k.
7) '+4y=0,
y(0)=2.8
8) y+y=17 sin(21),
y(0)=-1.
9) y-y-6y=0,
y(0)=6,
y'(0)=13.
10) y=0.
y(0)=4,
y' (0)=0.
11) -4y+4y-0,
y(0)=2.1.
y'(0)=3.9
12) y+2y'+2y=0,
y(0)=1,
y'(0)=-3.
13) +7y+12y=21e".
y(0)=3.5.
y'(0)=-10.
14) "+9y=10e".
y(0)=0,
y'(0)=0.
15) +3y+2.25y=91' +64.
y(0)=1.
y'(0) = 31.5
16)
-6y+5y-29 cos(2t).
y(0)=3.2,
y'(0)=6.2
17) y+2y+2y=0,
y(0)=0.
y'(0)=1.
18) y+2y+17y=0,
y(0)=0.
y'(0)=12.
19) y"-4y+5y=0,
y(0)=1,
y'(0)=2.
20) 9y-6y+y=0,
(0)-3,
y'(0)=1.
21) -2y+10y=0,
y(0)=3,
y'(0)=3.
22) 4y-4y+37y=0,
y(0)=3.
y'(0)=1.5
23) 4y-8y+5y=0,
y(0)=0,
y'(0)=1.
24)
++1.25y-0,
y(0)=1,
y'(0)=-0.5
25) y 2 cos(r).
y(0)=2.
y'(0) = 0.
26)
-4y+3y-0,
y(0)=3,
y(0) 7.
27) y+2y+y=e
y(0)=0.
y'(0)=0.
28) y+2y-3y=10sinh(27),
y(0)=0.
y'(0)=4.
29)…
Auto Controls
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
NO COPIED SOLUTIONS
Chapter 7 Solutions
Engineering Mechanics: Statics
Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Assume A is pinned and B is a roller. Prob. F7-6Ch. 7.1 - Assume the support at B is a roller. Point C is...Ch. 7.1 - Determine the shear force and moment at points C...Ch. 7.1 - If the suspended load has a weight of 2 kN and a...Ch. 7.1 - Prob. 4P
Ch. 7.1 - Prob. 5PCh. 7.1 - Determine the distance a as a fraction of the...Ch. 7.1 - Prob. 7PCh. 7.1 - Prob. 8PCh. 7.1 - Take P = 8 kN. Prob. 7-9Ch. 7.1 - Determine the largest vertical load P the frame...Ch. 7.1 - The shaft is supported by a journal bearing at A...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Prob. 13PCh. 7.1 - Prob. 14PCh. 7.1 - Prob. 15PCh. 7.1 - Prob. 16PCh. 7.1 - Prob. 17PCh. 7.1 - Point E is just to the right of the 3-kip load....Ch. 7.1 - Prob. 19PCh. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Prob. 21PCh. 7.1 - Prob. 22PCh. 7.1 - Prob. 23PCh. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Prob. 25PCh. 7.1 - Determine the ratio of a/b for which the shear...Ch. 7.1 - Prob. 27PCh. 7.1 - Prob. 28PCh. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Prob. 31PCh. 7.1 - Prob. 32PCh. 7.1 - Prob. 33PCh. 7.1 - Prob. 34PCh. 7.1 - Prob. 35PCh. 7.1 - Prob. 36PCh. 7.1 - Prob. 37PCh. 7.1 - Prob. 38PCh. 7.1 - Prob. 39PCh. 7.1 - Prob. 40PCh. 7.1 - Determine the x, y, z components of force and...Ch. 7.1 - z components of force and moment at point C in the...Ch. 7.1 - Prob. 43PCh. 7.1 - Prob. 44PCh. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Prob. 45PCh. 7.2 - Draw the shear and moment diagrams for the beam...Ch. 7.2 - Draw the shear and moment diagrams for the beam...Ch. 7.2 - Draw the shear and moment diagrams of the beam (a)...Ch. 7.2 - If L = 9 m, the beam will fail when the maximum...Ch. 7.2 - Draw the shear and moment diagrams for the...Ch. 7.2 - Prob. 51PCh. 7.2 - Prob. 52PCh. 7.2 - Draw the shear and moment diagrams for the beam....Ch. 7.2 - Prob. 54PCh. 7.2 - Draw the shear and bending-moment diagrams for the...Ch. 7.2 - Prob. 56PCh. 7.2 - Draw the shear and bending-moment diagrams for...Ch. 7.2 - Draw the shear and moment diagrams for the...Ch. 7.2 - Prob. 59PCh. 7.2 - The shaft is supported by a smooth thrust bearing...Ch. 7.2 - Prob. 61PCh. 7.2 - Prob. 62PCh. 7.2 - Prob. 63PCh. 7.2 - Prob. 64PCh. 7.2 - Prob. 65PCh. 7.2 - Draw the shear and moment diagrams for the beam....Ch. 7.2 - Prob. 67PCh. 7.2 - Prob. 68PCh. 7.2 - Express the internal shear and moment components...Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Prob. 70PCh. 7.3 - Prob. 71PCh. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Prob. 73PCh. 7.3 - Draw the shear and moment diagrams for the...Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Prob. 76PCh. 7.3 - Prob. 77PCh. 7.3 - Draw the shear and moment diagrams for the shaft....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Prob. 80PCh. 7.3 - Prob. 81PCh. 7.3 - Prob. 82PCh. 7.3 - Prob. 83PCh. 7.3 - Prob. 84PCh. 7.3 - Prob. 85PCh. 7.3 - Prob. 86PCh. 7.3 - Prob. 87PCh. 7.3 - Prob. 88PCh. 7.3 - Prob. 89PCh. 7.3 - Prob. 90PCh. 7.3 - Prob. 91PCh. 7.3 - Prob. 92PCh. 7.3 - Prob. 93PCh. 7.4 - Prob. 94PCh. 7.4 - Prob. 95PCh. 7.4 - Determine the tension in each segment of the cable...Ch. 7.4 - Prob. 97PCh. 7.4 - Prob. 98PCh. 7.4 - Prob. 99PCh. 7.4 - If cylinder E has a mass of 20 kg and each cable...Ch. 7.4 - Prob. 101PCh. 7.4 - Prob. 102PCh. 7.4 - If yB = 1.5 ft. determine the largest weight of...Ch. 7.4 - The cable AB is subjected to a uniform loading of...Ch. 7.4 - Determine the maximum uniform loading w, measured...Ch. 7.4 - The cable is subjected to a uniform loading of w =...Ch. 7.4 - Prob. 107PCh. 7.4 - Prob. 108PCh. 7.4 - If the pipe has a mass per unit length of 1500...Ch. 7.4 - Prob. 110PCh. 7.4 - Prob. 111PCh. 7.4 - Prob. 112PCh. 7.4 - Prob. 113PCh. 7.4 - A telephone line (cable) stretches between two...Ch. 7.4 - Prob. 115PCh. 7.4 - Prob. 116PCh. 7.4 - Prob. 117PCh. 7.4 - A cable has a weight of 5 lb/ft. If it can span...Ch. 7.4 - Prob. 119PCh. 7.4 - The power transmission cable weighs 10 lb/fl. If...Ch. 7.4 - The power transmission cable weighs 10 lb/ft. If h...Ch. 7.4 - Prob. 122PCh. 7.4 - Prob. 123PCh. 7.4 - The man picks up the 52-ft chain and holds it just...Ch. 7.4 - Determine the internal normal force, shear force,...Ch. 7.4 - Draw the shear and moment diagrams for the beam....Ch. 7.4 - Prob. 127RPCh. 7.4 - Prob. 128RPCh. 7.4 - Prob. 129RPCh. 7.4 - Prob. 130RPCh. 7.4 - Prob. 131RPCh. 7.4 - Prob. 132RPCh. 7.4 - Draw the shear and moment diagrams for the beam....Ch. 7.4 - Determine the normal force, shear force, and...Ch. 7.4 - Draw the shear and moment diagrams for the beam....Ch. 7.4 - Prob. 137RPCh. 7.4 - Prob. 138RPCh. 7.4 - Prob. 139RP
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