ENGINEERING MECHANICS Â?? STATICS
15th Edition
ISBN: 9780137519132
Author: HIBBELER
Publisher: PEARSON
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Chapter 7.4, Problem 121P
To determine
The length of the cable.
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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.
Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank
A into tank B at a rate of 3 L/min and from B into A at a rate of 1 L/min (see Figure Q1). The liquid inside each
tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tank A at a rate of
6 L/min. The diluted solution flows out of the system from tank A at 4 L/min and from tank B at 2 L/min. If,
initially, tank A contains pure water and tank B contains 20 kg of salt.
A
6 L/min
0.2 kg/L
x(t)
100 L
4 L/min
x(0) = 0 kg
3 L/min
1 L/min
B
y(t)
100 L
y(0) = 20 kg
2 L/min
Figure Q1 - Mixing problem for interconnected tanks
Determine the mass of salt in each tank at time t≥ 0:
Analytically (hand calculations)
Using MATLAB Numerical Functions (ode45)
Creating Simulink Model
Plot all solutions on the same graph for the first 15 min. The graph must be fully formatted by code.
Chapter 7 Solutions
ENGINEERING MECHANICS Â?? STATICS
Ch. 7.1 - In each case, calculate the reaction at A and then...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Assume A is pinned and B is a roller. Prob. F7-6Ch. 7.1 - Determine the shear force and moment at points C...Ch. 7.1 - Assume the support at B is a roller. Point C is...Ch. 7.1 - Determine the internal normal force, shear force,...
Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - If a force of 20 lb is applied to the handles,...Ch. 7.1 - Determine the distance a as a fraction of the...Ch. 7.1 - Determine the internal shear force and moment...Ch. 7.1 - Determine the internal shear force and moment...Ch. 7.1 - Take P = 8 kN. Prob. 7-9Ch. 7.1 - Determine the largest vertical load P the frame...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Determine the distance a between the bearings in...Ch. 7.1 - Point D is located just to the left of the 5-kip...Ch. 7.1 - The shaft is supported by a journal bearing at A...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Prob. 19PCh. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Point E is located just to the left of 800 N...Ch. 7.1 - Point D is located just to the left of the roller...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Determine the ratio of a/b for which the shear...Ch. 7.1 - Point E is just to the right of the 3-kip load....Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Point D is located just to the left of the 10-kN...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - If the suspended load has a weight of 2 kN and a...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - The distributed loading W = W0 sin , measured per...Ch. 7.1 - Solve Prob. 7-39 for = 120. Probs. 739/40Ch. 7.1 - z components of force and moment at point C in the...Ch. 7.1 - Determine the x, y, z components of force and...Ch. 7.1 - Determine the x, y, z components of internal...Ch. 7.1 - Determine the x, y. z components of internal...Ch. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Draw the shear and moment diagrams for the shaft...Ch. 7.2 - Draw the shear and moment diagrams for the beam...Ch. 7.2 - Draw the shear and moment diagrams for the beam...Ch. 7.2 - Draw the shear and moment diagrams for the...Ch. 7.2 - Draw the shear and moment diagrams of the beam (a)...Ch. 7.2 - If L = 9 m, the beam will fail when the maximum...Ch. 7.2 - Draw the shear and moment diagrams for the beam....Ch. 7.2 - Draw the shear and moment diagrams for the beam....Ch. 7.2 - Draw the shear and bending-moment diagrams for the...Ch. 7.2 - The shaft is supported by a smooth thrust bearing...Ch. 7.2 - Draw the shear and moment diagrams for the beam....Ch. 7.2 - Draw the shear and moment diagrams for the beam....Ch. 7.2 - Draw the shear and moment diagrams for the...Ch. 7.2 - Draw the shear and bending-moment diagrams for...Ch. 7.2 - Draw the shear and moment diagrams for the beam....Ch. 7.2 - The shaft is supported by a smooth thrust bearing...Ch. 7.2 - Draw the shear and moment diagrams for the beam....Ch. 7.2 - The beam will fail when the maximum internal...Ch. 7.2 - Draw the shear and moment diagrams for the beam....Ch. 7.2 - Draw the shear and moment diagrams for the beam....Ch. 7.2 - Draw the shear and moment diagrams for the beam....Ch. 7.2 - Draw the shear and moment diagrams for the beam....Ch. 7.2 - Determine the internal normal force, shear force,...Ch. 7.2 - The quarter circular rod lies in the horizontal...Ch. 7.2 - Express the internal shear and moment components...Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the...Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the shaft....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - The beam consists of three segments pin connected...Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.4 - The cable supports the three loads shown....Ch. 7.4 - The cable supports the three loads shown....Ch. 7.4 - Determine the tension in each segment of the cable...Ch. 7.4 - The cable supports the loading shown. Determine...Ch. 7.4 - The cable supports the loading shown. Determine...Ch. 7.4 - The cable supports the three loads shown....Ch. 7.4 - The cable supports the three loads shown....Ch. 7.4 - Determine the force P needed to hold the cable in...Ch. 7.4 - Determine the maximum uniform loading w, measured...Ch. 7.4 - The cable is subjected to a uniform loading of w =...Ch. 7.4 - The cable AB is subjected to a uniform loading of...Ch. 7.4 - Prob. 105PCh. 7.4 - If yB = 1.5 ft. determine the largest weight of...Ch. 7.4 - The cable supports a girder which weighs 850...Ch. 7.4 - Prob. 108PCh. 7.4 - If the pipe has a mass per unit length of 1500...Ch. 7.4 - Prob. 110PCh. 7.4 - Determine the maximum tension developed in the...Ch. 7.4 - Prob. 112PCh. 7.4 - The cable is subjected to the parabolic loading w...Ch. 7.4 - The power transmission cable weighs 10 lb/fl. If...Ch. 7.4 - The power transmission cable weighs 10 lb/ft. If h...Ch. 7.4 - The man picks up the 52-ft chain and holds it just...Ch. 7.4 - Prob. 117PCh. 7.4 - Prob. 118PCh. 7.4 - Prob. 119PCh. 7.4 - A telephone line (cable) stretches between two...Ch. 7.4 - Prob. 121PCh. 7.4 - Prob. 122PCh. 7.4 - A cable has a weight of 5 lb/ft. If it can span...Ch. 7.4 - Prob. 124PCh. 7.4 - Determine the internal normal force, shear force,...Ch. 7.4 - Determine the normal force, shear force, and...Ch. 7.4 - Draw the shear and moment diagrams for the beam....Ch. 7.4 - Draw the shear and moment diagrams for the beam....Ch. 7.4 - Draw the shear and moment diagrams for the beam....Ch. 7.4 - Prob. 6RP
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