
Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
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Question
Chapter 5.7, Problem 65P
To determine
The vertical reactions at the wheels C and B and the smooth contact at point A.
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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 5 Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Ch. 5.2 - Draw the free-body diagram for the following...Ch. 5.2 - Draw the free-body diagram for the following...Ch. 5.2 - Draw the free-body diagram for the following...Ch. 5.2 - Draw the free-body diagram for the following...Ch. 5.2 - Draw the free-body diagram for the following...Ch. 5.2 - Draw the free-body diagram for the following...Ch. 5.2 - Draw the free-body diagram for the following...Ch. 5.2 - Draw the free-body diagram for the following...Ch. 5.2 - Draw the free-body diagram for the following...Ch. 5.4 - Draw the free body diagram of each object. Prob....
Ch. 5.4 - Determine the horizontal and vertical components...Ch. 5.4 - Determine the horizontal and vertical components...Ch. 5.4 - The truss is supported by a pin at A and a roller...Ch. 5.4 - Prob. 4FPCh. 5.4 - The 25 kg bar has a center of mass at G. If it is...Ch. 5.4 - Prob. 6FPCh. 5.4 - Prob. 10PCh. 5.4 - Determine the reactions at the supports. Prob....Ch. 5.4 - Determine the horizontal and vertical components...Ch. 5.4 - Determine the reactions at the supports. Prob....Ch. 5.4 - Determine the reactions at the supports. Prob....Ch. 5.4 - Prob. 15PCh. 5.4 - Determine the tension in the cable and the...Ch. 5.4 - Prob. 17PCh. 5.4 - Determine the components of reaction at the...Ch. 5.4 - The man has a weight W and stands at the center of...Ch. 5.4 - A uniform glass rod having a length L is placed in...Ch. 5.4 - Prob. 21PCh. 5.4 - If the intensity of the distributed load acting on...Ch. 5.4 - Prob. 23PCh. 5.4 - Prob. 24PCh. 5.4 - Prob. 25PCh. 5.4 - The mobile crane is symmetrically supported by two...Ch. 5.4 - Prob. 27PCh. 5.4 - Prob. 28PCh. 5.4 - Determine the force P needed to pull the 50-kg...Ch. 5.4 - Prob. 30PCh. 5.4 - Prob. 31PCh. 5.4 - Determine the magnitude of force at the pin A and...Ch. 5.4 - The dimensions of a jib crane, which is...Ch. 5.4 - Prob. 34PCh. 5.4 - The smooth pipe rests against the opening at the...Ch. 5.4 - Prob. 36PCh. 5.4 - The cantilevered jib crane is used to support the...Ch. 5.4 - Prob. 38PCh. 5.4 - Prob. 39PCh. 5.4 - Determine the stiffness k of each spring so that...Ch. 5.4 - The bulk head AD Is subjected to both water and...Ch. 5.4 - The boom supports the two vertical loads. Neglect...Ch. 5.4 - Prob. 43PCh. 5.4 - The 10-kg uniform rod is pinned at end A. If It is...Ch. 5.4 - Prob. 45PCh. 5.4 - Prob. 46PCh. 5.4 - Prob. 47PCh. 5.4 - Prob. 48PCh. 5.4 - The rigid metal strip of negligible weight is used...Ch. 5.4 - Prob. 50PCh. 5.4 - Prob. 51PCh. 5.4 - Prob. 52PCh. 5.4 - Prob. 53PCh. 5.4 - Prob. 54PCh. 5.4 - The uniform rod has a length I and weight W. It is...Ch. 5.4 - Prob. 56PCh. 5.4 - Prob. 57PCh. 5.4 - Prob. 58PCh. 5.4 - The rod supports a weight of 200 lb and is pinned...Ch. 5.4 - Prob. 60PCh. 5.4 - Prob. 61PCh. 5.4 - The man attempts to pull the tour wheeler up the...Ch. 5.4 - Where is the best place to arrange most of the...Ch. 5.7 - Draw the free-body diagram of each object.Ch. 5.7 - In each case, write the moment equations about the...Ch. 5.7 - Prob. 7FPCh. 5.7 - Prob. 8FPCh. 5.7 - Prob. 9FPCh. 5.7 - Determine the support reactions at the smooth...Ch. 5.7 - Prob. 11FPCh. 5.7 - Determine the components of reaction that the...Ch. 5.7 - The uniform loads has a mass of 600 kg and is...Ch. 5.7 - Due to equal distribution of fuel in the wing...Ch. 5.7 - Prob. 5-63 5-64. Determine the components of...Ch. 5.7 - Prob. 65PCh. 5.7 - The smooth uniform rod AB is supported by a...Ch. 5.7 - The uniform concrete slab has a mass of 2400 kg....Ch. 5.7 - The 100-lb door has its center of gravity at G....Ch. 5.7 - Determine me tension in each cable and the...Ch. 5.7 - The stiff-leg derrick used on ships is supported...Ch. 5.7 - Determine the components of reaction at the...Ch. 5.7 - Determine the components of reaction at the...Ch. 5.7 - The bent rod is supported at A, B, and C by smooth...Ch. 5.7 - The bent rod is supported at A, B, and C by smooth...Ch. 5.7 - Prob. 75PCh. 5.7 - Prob. 76PCh. 5.7 - The member is supported by a square rod which fits...Ch. 5.7 - Prob. 78PCh. 5.7 - Prob. 79PCh. 5.7 - The bar AB is supported by two smooth collars. At...Ch. 5.7 - Prob. 81PCh. 5.7 - Prob. 82PCh. 5.7 - Prob. 83PCh. 5.7 - Both pulleys are fixed to the shaft and as the...Ch. 5.7 - Member AB is supported by a cable BC and at A by a...Ch. 5.7 - If the roller at 8 can sustain a maximum load of 3...Ch. 5.7 - Determine the reactions at the supports A and B...Ch. 5.7 - Prob. 3RPCh. 5.7 - Prob. 4RPCh. 5.7 - Determine the x, y, z components of reaction at...Ch. 5.7 - Prob. 6RPCh. 5.7 - Determine the x, y, z components of reaction at...Ch. 5.7 - Determine the x and z components of reaction at...
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