Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840728
Author: Limbrunner
Publisher: PEARSON
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Chapter 1, Problem 1.13P
Express 0.015 ton (a) in pounds (lb) and (b) in ounces (oz).
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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 1 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 1 - Prob. 1.1PCh. 1 - In the right triangle ABC shown, c = 25 ft and...Ch. 1 - Determine the length of side a and the meausre of...Ch. 1 - A 28-ft-long ladder leaning against a wall makes...Ch. 1 - Two legs of a right triangle are 6 ft and 10 ft....Ch. 1 - In the roof truss shown determine the lengths of...Ch. 1 - A level scaffold s to be supported at the center...Ch. 1 - A wanderer hikes due east for 2 mi, then southeast...Ch. 1 - Freehand sketch the following triangles and solve...Ch. 1 - One side of a triangular lot is 100 ft and the...
Ch. 1 - A box containing 8 shock absorbers and 10 brake...Ch. 1 - Prob. 1.12PCh. 1 - Express 0.015 ton (a) in pounds (lb) and (b) in...Ch. 1 - Express 5 mi (a) in yards (yd) and (b) in feet...Ch. 1 - Express 60 miles per hour (mph) in units of feet...Ch. 1 - Find the number of square rods in one acre.Ch. 1 - A reservoir contains an estimated 125 billion...Ch. 1 - Convert the following: a. 27 ft 734 in. to...Ch. 1 - 1.19 A water system of 2 in (inside diameter)...Ch. 1 - The soil pressure under a concrete footing is...Ch. 1 - Using Table 1 , establish your height in...Ch. 1 - The dimensions on a baseball field are as follows:...Ch. 1 - Convert the following quantities from U.S....Ch. 1 - Convert the following quantities to SI units of...Ch. 1 - Convert the following quantities to SI units of...Ch. 1 - Convert the following quantities to the designated...Ch. 1 - 1.27 Rework Problem 1.19 using an inside pipe...Ch. 1 - A spherical tank has a radius of 27 in. Find the...Ch. 1 - 1.29 A ladder rests against a vertical wall at a...Ch. 1 - A surveyor measures a zenith angle of 70° 03’20”...Ch. 1 - The tower of a tower crane casts a shadow (on...Ch. 1 - 1.32 From the top of a 30-ft building, the angle...Ch. 1 - Two planes, starting from airport X, fly for 2 hr,...Ch. 1 - Rework Problem 1.31 assuming that the ground...Ch. 1 - An Egyptian pyramid has a square base and...Ch. 1 - Two observation towers A and B are located 300 ft...Ch. 1 - Two people fishing from rowboats on a lake are 100...Ch. 1 - What is the average speed in miles per hour (mph)...Ch. 1 - The volume flow of a river is expressed as 5000...Ch. 1 - A 55-gal drum filled with sand weighs 816 lb. The...Ch. 1 - The total area to be occupied by a building and a...Ch. 1 - An electronic distance measurement device (EDM) is...
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- 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 SOLUTIONSarrow_forwardAuto Controls Hand sketch the root Focus of the following transfer function How many asymptotes are there ?what are the angles of the asymptotes?Does the system remain stable for all values of K NO COPIED SOLUTIONSarrow_forward-400" 150" in Datum 80" 90" -280"arrow_forward
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