
Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
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Question
Chapter 7.4, Problem 121P
To determine
The length of the cable.
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Example-1:
l
D
A uniform rotor of length 0.6 m and diameter 0.4 m is made of steel (density 7810 kg/m³)
is supported by identical short bearings of stiffness 1 MN/m in the horizontal and vertical
directions. If the distance between the bearings is 0.7 m, determine the natural frequencies
and plot whirl speed map.
Solution:
B
find the laplace transform for the
flowing function
2(1-e)
Ans. F(s)=-
S
12)
k
0
Ans. F(s)=
k
s(1+e)
0 a
2a 3a 4a
13)
2+
Ans. F(s)=
1
s(1+e")
3
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)…
Chapter 7 Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Ch. 7.1 - In each case, calculate the reaction at A and then...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 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the shear force and moment at points C...Ch. 7.1 - Determine the internal normal force and shear...Ch. 7.1 - Two beams are attached to the column such that...
Ch. 7.1 - The beam weighs 280 lb/ft. Determine the internal...Ch. 7.1 - The pliers are used to grip the tube at B. If a...Ch. 7.1 - Determine the distance a as a fraction of the...Ch. 7.1 - Determine the internal shear force and moment...Ch. 7.1 - Determine the internal shear force and moment...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - The cable will fail when subjected to a tension of...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Determine the distance a between the bearings in...Ch. 7.1 - Determine the internal normal force, shear force,...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 - Determine the internal normal force, shear force,...Ch. 7.1 - The cantilevered rack is used to support each end...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Rod AB is fixed to a smooth collar D, which slides...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Determine the ratio of a/b for which the shear...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Determine the internal normal force, shear force,...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 internal normal force, shear force,...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - The strongback or lifting beam is used for...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - The distributed loading W = W0 sin , measured per...Ch. 7.1 - Solve Prob. 7-39 for = 120. Probs. 739/40Ch. 7.1 - Determine the x, y. z components of force and...Ch. 7.1 - Determine the x, y, z components of force and...Ch. 7.1 - Determine the x, y, z components of internal...Ch. 7.1 - Determine the x, y. z components of internal...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 - Determine the shear and moment as a function of x,...Ch. 7.2 - Draw the shear and moment diagrams for the shaft...Ch. 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 for the...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 beam....Ch. 7.2 - Draw the shear and moment diagrams for the beam....Ch. 7.2 - Draw the shear and bending-moment diagrams for the...Ch. 7.2 - The shaft is supported by a smooth thrust bearing...Ch. 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 for the...Ch. 7.2 - Draw the shear and bending-moment diagrams for...Ch. 7.2 - Draw the shear and moment diagrams for the beam....Ch. 7.2 - The shaft is supported by a smooth thrust bearing...Ch. 7.2 - Draw the shear and moment diagrams for the beam....Ch. 7.2 - The beam will fail when the maximum internal...Ch. 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 - Determine the internal normal force, shear force,...Ch. 7.2 - The quarter circular rod lies in the horizontal...Ch. 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 - 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...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 shaft....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - The beam consists of three segments pin connected...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 - 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. 7.4 - The cable supports the three loads shown....Ch. 7.4 - Prob. 95PCh. 7.4 - Determine the tension in each segment of the cable...Ch. 7.4 - Prob. 97PCh. 7.4 - The cable supports the loading shown. Determine...Ch. 7.4 - The cable supports the three loads shown....Ch. 7.4 - The cable supports the three loads shown....Ch. 7.4 - Determine the force P needed to hold the cable in...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 - The cable AB is subjected to a uniform loading of...Ch. 7.4 - If x = 2 ft and the crate weighs 300 lb, which...Ch. 7.4 - If yB = 1.5 ft. determine the largest weight of...Ch. 7.4 - The cable supports a girder which weighs 850...Ch. 7.4 - The cable is subjected to a uniform loading of w =...Ch. 7.4 - If the pipe has a mass per unit length of 1500...Ch. 7.4 - Prob. 110PCh. 7.4 - Prob. 111PCh. 7.4 - The cable will break when the maximum tension...Ch. 7.4 - Prob. 113PCh. 7.4 - The power transmission cable weighs 10 lb/fl. If...Ch. 7.4 - Prob. 115PCh. 7.4 - Prob. 116PCh. 7.4 - Prob. 117PCh. 7.4 - Prob. 118PCh. 7.4 - Show that the deflection curve of the cable...Ch. 7.4 - Prob. 120PCh. 7.4 - Prob. 121PCh. 7.4 - Prob. 122PCh. 7.4 - A cable has a weight of 5 lb/ft. If it can span...Ch. 7.4 - The 10 kg/m cable is suspended between the...Ch. 7.4 - Determine the internal normal force, shear force,...Ch. 7.4 - Prob. 2RPCh. 7.4 - Prob. 3RPCh. 7.4 - Prob. 4RPCh. 7.4 - Draw the shear and moment diagrams for the beam....Ch. 7.4 - A chain is suspended between points at the same...
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