Applied Fluid Mechanics (7th Edition)
7th Edition
ISBN: 9780132558921
Author: Robert L. Mott, Joseph A. Untener
Publisher: PEARSON
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Textbook Question
Chapter 5, Problem 5.42PP
Will the cylindrical float described in Problem 5.4 be stable if placed in the fluid with its axis vertical?
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Y
F1
α
В
X
F2
You and your friends are planning to move the log. The log.
needs to be moved straight in the x-axis direction and it
takes a combined force of 2.9 kN. You (F1) are able to exert
610 N at a = 32°. What magnitude (F2) and direction (B) do
you needs your friends to pull?
Your friends had to pull at:
magnitude in Newton, F2
=
direction in degrees, ẞ =
N
deg
100
As a spring is heated, its spring constant decreases. Suppose the spring is heated and then cooled so that the
spring constant at time t is k(t) = t sin + N/m. If the mass-spring system has mass m = 2 kg and a
damping constant b = 1 N-sec/m with initial conditions x(0) = 6 m and x'(0) = -5 m/sec and it is
subjected to the harmonic external force f (t) = 100 cos 3t N. Find at least the first four nonzero terms in
a power series expansion about t = 0, i.e. Maclaurin series expansion, for the displacement:
• Analytically (hand calculations)
Creating Simulink Model
Plot solutions for first two, three and four non-zero terms as well as the Simulink solution on the same graph
for the first 15 sec. The graph must be fully formatted by code.
Two springs and two masses are attached in a straight vertical line as shown in Figure Q3. The system is set
in motion by holding the mass m₂ at its equilibrium position and pushing the mass m₁ downwards of its
equilibrium position a distance 2 m and then releasing both masses. if m₁ = m² = 1 kg, k₁ = 3 N/m and
k₂ = 2 N/m.
(y₁ = 0)
www
k₁ = 3
Jm₁ = 1
k2=2
www
(Net change in
spring length
=32-31)
(y₂ = 0)
m₂ = 1
32
32
System in
static
equilibrium
System in
motion
Figure Q3 - Coupled mass-spring system
Determine the equations of motion y₁ (t) and y₂(t) for the two masses m₁ and m₂ respectively:
Analytically (hand calculations)
Using MATLAB Numerical Functions (ode45)
Creating Simulink Model
Produce an animation of the system for all solutions for the first minute.
Chapter 5 Solutions
Applied Fluid Mechanics (7th Edition)
Ch. 5 - The instrument package shown in Fig. 5.18 weighs...Ch. 5 - A 1.0 -m-diameter hollow sphere weighing 200 N is...Ch. 5 - A certain standard steel pipe has an outside...Ch. 5 - A cylindrical float has a 10 -in diameter and is...Ch. 5 - A buoy is a solid cylinder 0.3 m in diameter and...Ch. 5 - A float to be used as a level indicator is being...Ch. 5 - A concrete block with a specific weight of...Ch. 5 - Figure 5.19shows a pump partially submerged in oil...Ch. 5 - A steel cube 100mm on a side weighs 80N. We want...Ch. 5 - A cylindrical drum is 2 ft in diameter, 3 ft long,...
Ch. 5 - If the aluminum weights described in Problem 5.10...Ch. 5 - Figure 5.20 shows a cube floating in a fluid....Ch. 5 - A hydrometer is a device for indicating the...Ch. 5 - For the hydrometer designed in Problem 5.13 what...Ch. 5 - For the hydrometer designed in Problem 5.13 , what...Ch. 5 - A buoy is to support a cone-shaped instrument...Ch. 5 - A cube has side dimensions of 18.00 in. It is made...Ch. 5 - A cube has side dimensions of 18.00 in. It is made...Ch. 5 - A ship has a mass of 292 Mg. Compute the volume of...Ch. 5 - An iceberg has a specific weight of 8.72kN/m3....Ch. 5 - A cylindrical log has a diameter of 450 mm and a...Ch. 5 - The cylinder shown in Fig. 5.23 is made from a...Ch. 5 - If the cylinder from Problem 5.22 is placed in...Ch. 5 - A brass weight is to be attached to the bottom of...Ch. 5 - For the cylinder with the added brass (described...Ch. 5 - For the composite cylinder shown in Fig. 5.25 what...Ch. 5 - A vessel for a special experiment has a hollow...Ch. 5 - A light foam cup similar to a disposable coffee...Ch. 5 - A light foam cup similar to a disposable coffee...Ch. 5 - Repeat Problem 5.29, but consider that the steel...Ch. 5 - Figure 5.27 shows a raft made of four hollow drums...Ch. 5 - Figure 5.28 shows the construction of the platform...Ch. 5 - For the raft shown in Fig. 5.27, how much of the...Ch. 5 - For the raft and platform shown in Figs. 5.27 and...Ch. 5 - A float in an ocean harbor is made from a uniform...Ch. 5 - Describe how the situation described in Problem...Ch. 5 - A cube 6.00 in on a side is made from aluminum...Ch. 5 - Prob. 5.38PPCh. 5 - A cylindrical block of wood is 1.00 m in diameter...Ch. 5 - A container for an emergency beacon is a...Ch. 5 - The large platform shown in Fig. 5.29 carries...Ch. 5 - Will the cylindrical float described in Problem...Ch. 5 - Will the buoy described in Problem 5.5 be stable...Ch. 5 - Will the float described in Problem 5.6 be stable...Ch. 5 - A closed, hollow, empty drum has a diameter of...Ch. 5 - Figure 5.30 shows a river scow used to carry bulk...Ch. 5 - Prob. 5.47PPCh. 5 - For the vessel shown in Fig. 5.26and described in...Ch. 5 - For the foam cup described in Problem 5.28, will...Ch. 5 - Referring to Problem 5.29, assume that the steel...Ch. 5 - Referring to Problem 5.30, assume that the steel...Ch. 5 - Prob. 5.52PPCh. 5 - Will the cylinder together with the brass plate...Ch. 5 - A proposed design for a part of a seawall consists...Ch. 5 - A platform is being designed to support some water...Ch. 5 - Prob. 5.56PPCh. 5 - A barge is 60 ft long, 20 ft wide, and 8 ft deep....Ch. 5 - If the barge in Problem 5.57 is loaded with 240000...Ch. 5 - A piece of cork having a specific weight of...Ch. 5 - Figure 5.20 shows a cube floating in a fluid, (a)...Ch. 5 - A boat is shown in Fig. 5.33(a). Its geometry at...Ch. 5 - (a) If the cone shown in Fig. 5.34 is made of pine...Ch. 5 - Refer to Fig. 5.35. The vessel shown is to be used...Ch. 5 - Prob. 5.64PPCh. 5 - Wetsuits are prohibited in some triathlons due to...Ch. 5 - A cylinder that is 500 mm in diameter and 2.0 m...Ch. 5 - The diving bell shown in Fig. 5.2 weighs 72 kN and...Ch. 5 - Prob. 5.68PPCh. 5 - A scuba diver with wet suit, tank, and gear has a...Ch. 5 - Prob. 5.70PPCh. 5 - Does steel float? It has a specific gravity of...Ch. 5 - Prob. 5.72PPCh. 5 - An undersea camera (Figure 5.36 ) is to hang from...Ch. 5 - Work Problem 5.73 again, but this time the camera...Ch. 5 - Write a program for evaluating the stability of a...Ch. 5 - For any cylinder of a uniform density floating in...Ch. 5 - For the results found in Project 2, compute the...Ch. 5 - Write a program for evaluating the stability of a...Ch. 5 - Write a program for determining the stability of a...
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