FLUID MECHANICS-EBOOK>I<
2nd Edition
ISBN: 2819480256061
Author: HIBBELER
Publisher: INTER PEAR
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Chapter 1, Problem 36P
To determine
The force required to move the plate.
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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 1 Solutions
FLUID MECHANICS-EBOOK>I<
Ch. 1 - Prob. 1PCh. 1 - Evaluate each of the following to three...Ch. 1 - Evaluate each of the following to three...Ch. 1 - Convert the following temperatures: (a) 250 K to...Ch. 1 - The tank contains a liquid having a density of...Ch. 1 - If air within the tank is at an absolute pressure...Ch. 1 - The bottle tank has a volume of 0.35 m3 and...Ch. 1 - The bottle tank contains nitrogen having a...Ch. 1 - Prob. 9PCh. 1 - Dry air at 25°C has a density of 1.23 kg/m3. But...
Ch. 1 - The tanker carries 900(103) barrels of crude oil...Ch. 1 - Water in the swimming pool has a measured depth of...Ch. 1 - Determine the weight of carbon tetrachloride that...Ch. 1 - The tank contains air at a temperature of 18°C and...Ch. 1 - The tank contains 4 kg of air at an absolute...Ch. 1 - The 8-m-diameter spherical balloon is filled with...Ch. 1 - Gasoline is mixed with 8 ft3 of kerosene so that...Ch. 1 - Determine the change in the density of oxygen when...Ch. 1 - The container is filled with water at a...Ch. 1 - The rain cloud has an approximate volume of 6.50...Ch. 1 - A volume of 8 m3 of oxygen initially at 80 kPa of...Ch. 1 - Prob. 22PCh. 1 - Water at 20°C is subjected to a pressure increase...Ch. 1 - Prob. 24PCh. 1 - At a point deep in the ocean, the specific weight...Ch. 1 - A 2-kg mass of oxygen is held at a constant...Ch. 1 - The viscosity of SAE 10 W30 oil is μ = 0.100...Ch. 1 - If the kinematic viscosity of glycerin is ν =...Ch. 1 - An experimental test using human blood at T = 30°C...Ch. 1 - The plate is moving at 0.6 mm/s when the force...Ch. 1 - When the force P is applied to the plate, the...Ch. 1 - When the force P is applied to the plate, the...Ch. 1 - The Newtonian fluid is confined between a plate...Ch. 1 - The Newtonian fluid is confined between the plate...Ch. 1 - If a force of P = 2 N causes the 30-mm-diameter...Ch. 1 - A plastic strip having a width of 0.2 m and a mass...Ch. 1 - A plastic strip having a width of 0.2 m and a mass...Ch. 1 - The tank containing gasoline has a long crack on...Ch. 1 - The tank containing gasoline has a long crack on...Ch. 1 - Determine the constants B and C in Andrade's...Ch. 1 - The viscosity of water can be determined using the...Ch. 1 - Determine the constants B and C in the Sutherland...Ch. 1 - The constants B=1.357(10−6) N·s/(m2·K1/2) and C =...Ch. 1 - The read-write head for a hand-held music player...Ch. 1 - Determine the torque T required to rotate the disk...Ch. 1 - Prob. 46PCh. 1 - Prob. 47PCh. 1 - The tube rests on a 1.5-mm thin film of oil having...Ch. 1 - The tube rests on a 1.5-mm thin film of oil having...Ch. 1 - Prob. 50PCh. 1 - Prob. 51PCh. 1 - How hot can you make a cup of tea if you climb to...Ch. 1 - A boat propeller is rotating in water that has a...Ch. 1 - As water at 20°C flows through the transition, its...Ch. 1 - Water at 70°F is flowing through a garden hose. If...Ch. 1 - Prob. 56PCh. 1 - For water falling out of the tube, there is a...Ch. 1 - Steel particles are ejected from a grinder and...Ch. 1 - Prob. 59PCh. 1 - Prob. 60PCh. 1 - Prob. 61PCh. 1 - Prob. 62PCh. 1 - Because cohesion resists any increase in the...Ch. 1 - The glass tube has an inner diameter d and is...Ch. 1 - The glass tube has an inner diameter of d = 2 mm...Ch. 1 - Prob. 66PCh. 1 - The triangular glass rod has a weight of 0.3 N and...Ch. 1 - The triangular glass rod has a weight of 0.3 N and...Ch. 1 - Water poured from this pitcher tends to cling to...Ch. 1 - If a drop of oil is placed on a water surface,...Ch. 1 - The shape of this municipal water tank has the...
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