EBK ENGINEERING MECHANICS
15th Edition
ISBN: 9780137569830
Author: HIBBELER
Publisher: VST
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Textbook Question
Chapter 15, Problem 94P
Determine the angular momentum HO of the 6-lb particle about point O.
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find the laplace transform for the
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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 15 Solutions
EBK ENGINEERING MECHANICS
Ch. 15 - The 0.5kg ball strikes the rough ground and...Ch. 15 - Prob. 2FPCh. 15 - Prob. 3FPCh. 15 - The wheels of the 1.5-Mg car generate the traction...Ch. 15 - Prob. 5FPCh. 15 - If the coefficient of kinetic friction between the...Ch. 15 - Prob. 3PCh. 15 - Each of the cables can sustain a maximum tension...Ch. 15 - Crates A and B weigh 100 lb and 50 lb,...Ch. 15 - Prob. 8P
Ch. 15 - Prob. 9PCh. 15 - During operation the jack hammer strikes the...Ch. 15 - For a short period of time, the frictional driving...Ch. 15 - The 2.5-Mg van is traveling with a speed of 100...Ch. 15 - Prob. 14PCh. 15 - The towing force acting on the 400-kg safe varies...Ch. 15 - Prob. 18PCh. 15 - Prob. 19PCh. 15 - If it takes 35 s for the 50-Mg tugboat to increase...Ch. 15 - Prob. 23PCh. 15 - The balloon has a total mass of 400 kg including...Ch. 15 - Prob. 26PCh. 15 - Prob. 30PCh. 15 - Prob. 7FPCh. 15 - The cart and package have a mass of 20 kg and 5...Ch. 15 - The 5-kg block A has an initial speed of 5 m/s as...Ch. 15 - Prob. 10FPCh. 15 - Prob. 11FPCh. 15 - The cannon and support without a projectile have a...Ch. 15 - The 5-Mg bus B is traveling to the right at 20...Ch. 15 - Prob. 36PCh. 15 - A railroad car having a mass of 15 Mg is coasting...Ch. 15 - A ballistic pendulum consists of a 4-kg wooden...Ch. 15 - Prob. 39PCh. 15 - Prob. 43PCh. 15 - Prob. 44PCh. 15 - Prob. 45PCh. 15 - The 30-Mg freight car A and 15-Mg freight car B...Ch. 15 - Blocks A and B have masses of 40 kg and 60 kg,...Ch. 15 - Block A has a mass of 5 kg and is placed on the...Ch. 15 - Solve Prob. 15-53 if the coefficient of kinetic...Ch. 15 - Prob. 56PCh. 15 - Prob. 13FPCh. 15 - Prob. 14FPCh. 15 - The 30-lb package A has a speed of 5 ft/s when it...Ch. 15 - The ball strikes the smooth wall with a velocity...Ch. 15 - Prob. 17FPCh. 15 - Prob. 18FPCh. 15 - Prob. 58PCh. 15 - Prob. 59PCh. 15 - Prob. 61PCh. 15 - Prob. 62PCh. 15 - Prob. 63PCh. 15 - Prob. 64PCh. 15 - A 1-lb ball A is traveling horizontally at 20 ft/s...Ch. 15 - Prob. 69PCh. 15 - Prob. 73PCh. 15 - Two smooth disks A and B each have a mass of 0.5...Ch. 15 - Prob. 75PCh. 15 - The cue ball A is given an initial velocity (vA)1...Ch. 15 - Prob. 78PCh. 15 - Prob. 79PCh. 15 - A ball of negligible size and mass m is given a...Ch. 15 - Prob. 81PCh. 15 - The 20-lb box slides on the surface for which k =...Ch. 15 - Prob. 84PCh. 15 - Prob. 85PCh. 15 - Prob. 90PCh. 15 - Prob. 92PCh. 15 - Disks A and B have a mass of 15 kg and 10 kg,...Ch. 15 - Prob. 19FPCh. 15 - Prob. 20FPCh. 15 - Initially the 5-kg block is moving with a constant...Ch. 15 - Prob. 22FPCh. 15 - Prob. 23FPCh. 15 - Prob. 24FPCh. 15 - Determine the angular momentum HO of the 6-lb...Ch. 15 - Determine the angular momentum HP of the 6-lb...Ch. 15 - Prob. 96PCh. 15 - Determine the angular momentum Hp, of each of the...Ch. 15 - Prob. 98PCh. 15 - Determine the angular momentum Hp of the 3-kg...Ch. 15 - The 800-lb roller-coaster car starts from rest on...Ch. 15 - The 800-lb roller-coaster car starts from rest on...Ch. 15 - If the rod of negligible mass is subjected to a...Ch. 15 - The amusement park ride consists of a 200-kg car...Ch. 15 - An earth satellite of mass 700 kg is launched into...Ch. 15 - Prob. 115PCh. 15 - Prob. 116PCh. 15 - Prob. 119PCh. 15 - The gauge pressure of water at A is 150.5 kPa....Ch. 15 - Prob. 121PCh. 15 - The fountain shoots water in the direction shown....Ch. 15 - A plow located on the front of a locomotive scoops...Ch. 15 - Prob. 124PCh. 15 - Water is discharged from a nozzle with a velocity...Ch. 15 - Prob. 127PCh. 15 - Prob. 128PCh. 15 - Sand drops onto the 2-Mg empty rail car at 50 kg/s...Ch. 15 - Prob. 133PCh. 15 - A rocket has an empty weight of 500 lb and carries...Ch. 15 - Prob. 135PCh. 15 - Prob. 138PCh. 15 - The missile weighs 40 000 lb. The constant thrust...Ch. 15 - Prob. 140PCh. 15 - Prob. 1RPCh. 15 - Prob. 2RPCh. 15 - Prob. 3RPCh. 15 - Prob. 4RPCh. 15 - The 200-g projectile is fired with a velocity of...Ch. 15 - Block A has a mass of 3 kg and is sliding on a...Ch. 15 - Two smooth billiard balls A and B have an equal...Ch. 15 - Prob. 8RP
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- The 120 kg wheel has a radius of gyration of 0.7 m. A force P with a magnitude of 50 N is applied at the edge of the wheel as seen in the diagram. The coefficient of static friction is 0.3, and the coefficient of kinetic friction is 0.25. Find the acceleration and angular acceleration of the wheel.arrow_forwardAuto Controls Using MATLAB , find the magnitude and phase plot of the compensators NO COPIED SOLUTIONSarrow_forward4-81 The corner shown in Figure P4-81 is initially uniform at 300°C and then suddenly exposed to a convection environment at 50°C with h 60 W/m². °C. Assume the = 2 solid has the properties of fireclay brick. Examine nodes 1, 2, 3, 4, and 5 and deter- mine the maximum time increment which may be used for a transient numerical calculation. Figure P4-81 1 2 3 4 1 cm 5 6 1 cm 2 cm h, T + 2 cmarrow_forward
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