Engineering Mechanics: Statics
13th Edition
ISBN: 9780132915540
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Textbook Question
Chapter 3.4, Problem 10FP
F3–10. Determine the tension developed in cables AB, AC, and AD.
Expert Solution & Answer
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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
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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 3 Solutions
Engineering Mechanics: Statics
Ch. 3.3 - Determine the force in each supporting cable.Ch. 3.3 - Determine the shortest cable ABC that can be used...Ch. 3.3 - Neglect the size of the pulley.Ch. 3.3 - Determine the unstretched length of the spring.Ch. 3.3 - If the mass of cylinder C is 40 kg, determine the...Ch. 3.3 - Also, find the angle .Ch. 3.3 - Determine the magnitudes of F1 and F2 for...Ch. 3.3 - Determine the magnitude of F1 and its angle for...Ch. 3.3 - Determine the force in each of the cables AB and...Ch. 3.3 - Prob. 4P
Ch. 3.3 - Prob. 5PCh. 3.3 - Prob. 6PCh. 3.3 - Prob. 7PCh. 3.3 - Prob. 8PCh. 3.3 - Determine the maximum weight of the flowerpot that...Ch. 3.3 - Prob. 10PCh. 3.3 - Prob. 11PCh. 3.3 - Prob. 12PCh. 3.3 - Prob. 13PCh. 3.3 - Prob. 14PCh. 3.3 - Prob. 15PCh. 3.3 - Prob. 16PCh. 3.3 - Note that s = 0 when the cylinders are removed.Ch. 3.3 - The springs are shown in the equilibrium position.Ch. 3.3 - If the block is held in the equilibrium position...Ch. 3.3 - Determine the horizontal force F applied to the...Ch. 3.3 - Determine the displacement d of the cord from the...Ch. 3.3 - If the spring has an unstretched length of 2 ft,...Ch. 3.3 - Cord AB is 2 ft long. Take k = 50 lb/ft.Ch. 3.3 - Prob. 24PCh. 3.3 - Prob. 25PCh. 3.3 - Prob. 26PCh. 3.3 - Prob. 27PCh. 3.3 - Determine the tension developed in each cord...Ch. 3.3 - Determine the maximum mass of the lamp that the...Ch. 3.3 - Prob. 30PCh. 3.3 - Prob. 31PCh. 3.3 - Prob. 32PCh. 3.3 - Prob. 33PCh. 3.3 - Prob. 34PCh. 3.3 - Determine the position x and the tension developed...Ch. 3.3 - Determine the position x and the tension in the...Ch. 3.3 - If the cable can be attached at either points A...Ch. 3.3 - Prob. 38PCh. 3.3 - The cord is fixed to a pin at A and passes over...Ch. 3.3 - Prob. 40PCh. 3.3 - Take F = 300 N and d = 1 m.Ch. 3.3 - If a force of F = 100 N is applied horizontally to...Ch. 3.3 - Establish appropriate dimensions and use an...Ch. 3.3 - If the maximum tension that can be supported by...Ch. 3.3 - If the angle between AB and BC is 30, determine...Ch. 3.3 - If the distance BC is 1.5 m, and AB can support a...Ch. 3.4 - Determine the magnitude of forces F1, F2, F3, so...Ch. 3.4 - Determine the tension developed in cables AB, AC,...Ch. 3.4 - Determine the tension developed in cables AB, AC,...Ch. 3.4 - F310. Determine the tension developed in cables...Ch. 3.4 - Determine the tension in these wires.Ch. 3.4 - Prob. 43PCh. 3.4 - If cable AB is subjected to a tension of 700 N,...Ch. 3.4 - Determine the magnitudes of F1, F2, and F3 for...Ch. 3.4 - If the bucket and its contents have a total weight...Ch. 3.4 - Each spring has on unstretched length of 2 m and a...Ch. 3.4 - Prob. 48PCh. 3.4 - Prob. 49PCh. 3.4 - Prob. 50PCh. 3.4 - Prob. 51PCh. 3.4 - Prob. 52PCh. 3.4 - Prob. 53PCh. 3.4 - Determine the tens on developed in cables AB and...Ch. 3.4 - Also, what is the force developed along strut AD?Ch. 3.4 - Prob. 56PCh. 3.4 - Prob. 57PCh. 3.4 - Determine the tension developed in each cable for...Ch. 3.4 - Determine the maximum weight of the crate that can...Ch. 3.4 - Determine the force in each chain for equilibrium....Ch. 3.4 - If cable AD is tightened by a turnbuckle and...Ch. 3.4 - If cable AD is tightened by a turnbuckle and...Ch. 3.4 - Prob. 63PCh. 3.4 - Prob. 64PCh. 3.4 - Prob. 65PCh. 3.4 - Prob. 66PCh. 3.4 - Prob. 67PCh. 3.4 - If the bolt exerts a force of 50 lb on the pipe in...Ch. 3.4 - Determine the magnitude of the applied vertical...Ch. 3.4 - Prob. 70RPCh. 3.4 - Prob. 71RPCh. 3.4 - Prob. 72RPCh. 3.4 - Prob. 73RPCh. 3.4 - Also, what is the force in cord AB? Hint: use the...Ch. 3.4 - Prob. 75RPCh. 3.4 - Determine the force in each cable needed to...Ch. 3.4 - Prob. 77RP
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