Fluid Mechanics (2nd Edition)
2nd Edition
ISBN: 9780134649290
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 1, Problem 62P
To determine
The graph for gap between the plate versus water height
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3. The figure shows a frame under the
influence of an external loading made up
of five forces and two moments. Use the
scalar method to calculate moments.
a. Write the resultant force of the
external loading in Cartesian vector
form.
b. Determine the
& direction
of the resultant moment of the
external loading about A.
15 cm
18 cm
2.2 N-m
B
50 N
45°
10 cm
48 N.m
250 N
60 N
20
21
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25 cm
100 N
A
118,
27cm 5, 4:1
The 2-mass system shown below depicts a disk which rotates about its center and has rotational
moment of inertia Jo and radius r. The angular displacement of the disk is given by 0. The spring
with constant k₂ is attached to the disk at a distance from the center. The mass m has linear
displacement & and is subject to an external force u. When the system is at equilibrium, the spring
forces due to k₁ and k₂ are zero. Neglect gravity and aerodynamic drag in this problem. You may
assume the small angle approximation which implies (i) that the springs and dampers remain in
their horizontal / vertical configurations and (ii) that the linear displacement d of a point on the
edge of the disk can be approximated by d≈re.
Ө
K2
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m
4
Cz
777777
Jo
Make the following assumptions when analyzing the forces and torques:
тв
2
0>0, 0>0, x> > 0, >0
Derive the differential equations of motion for this dynamic system. Start by sketching
LARGE and carefully drawn free-body-diagrams for the disk and the…
A linear system is one that satisfies the principle of superposition. In other words, if an input u₁
yields the output y₁, and an input u2 yields the output y2, the system is said to be linear if a com-
bination of the inputs u = u₁ + u2 yield the sum of the outputs y = y1 + y2.
Using this fact, determine the output y(t) of the following linear system:
given the input:
P(s) =
=
Y(s)
U(s)
=
s+1
s+10
u(t) = e−2+ sin(t)
=e
Chapter 1 Solutions
Fluid Mechanics (2nd Edition)
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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