Engineering Mechanics: Statics and Study Pack (13th Edition)
13th Edition
ISBN: 9780133027990
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Textbook Question
Chapter 6.6, Problem 86P
If the wheel at A exerts a normal force of FA = 80 N on the pipe, determine the normal forces of wheels B and C on the pipe. Also compute the pin reaction on the wheel at C. The three wheels each have a radius of 7 mm and the pipe has an outer tad us of 10 mm.
Prob. 6-90
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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)
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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 6 Solutions
Engineering Mechanics: Statics and Study Pack (13th Edition)
Ch. 6.3 - State if the members are in tension or...Ch. 6.3 - State if the members are in tension or...Ch. 6.3 - Prob. 3FPCh. 6.3 - Determine the greatest load P that can be applied...Ch. 6.3 - Identify the zero-force members in the truss....Ch. 6.3 - State if the members are in tension or...Ch. 6.3 - Prob. 1PCh. 6.3 - Prob. 2PCh. 6.3 - Determine the force in each member of the truss,...Ch. 6.3 - Determine the force in each member of the truss,...
Ch. 6.3 - Prob. 5PCh. 6.3 - Determine the force in each member of the truss...Ch. 6.3 - Determine the force in each member of the Pratt...Ch. 6.3 - Prob. 8PCh. 6.3 - Prob. 9PCh. 6.3 - Prob. 10PCh. 6.3 - Determine the force in each member of the truss...Ch. 6.3 - Prob. 12PCh. 6.3 - Prob. 13PCh. 6.3 - Prob. 14PCh. 6.3 - Prob. 15PCh. 6.3 - State whether the members are in tension or...Ch. 6.3 - If the maximum force that any member can support...Ch. 6.3 - Prob. 18PCh. 6.3 - Prob. 19PCh. 6.3 - Prob. 20PCh. 6.3 - Prob. 21PCh. 6.3 - Determine the force in each member of the double...Ch. 6.3 - Prob. 23PCh. 6.3 - Prob. 24PCh. 6.3 - Prob. 25PCh. 6.3 - Prob. 26PCh. 6.4 - Determine the force in members BC, CF, and FE....Ch. 6.4 - State if the members are in tension or...Ch. 6.4 - State if the members are in tension or...Ch. 6.4 - State if the members are in tension or...Ch. 6.4 - State if the members are in tension or...Ch. 6.4 - State if the members are in tension or...Ch. 6.4 - Determine the force in members HG, HE and DE of...Ch. 6.4 - Prob. 28PCh. 6.4 - Prob. 29PCh. 6.4 - Prob. 30PCh. 6.4 - State if these members are in tension or...Ch. 6.4 - State if these members are in tension or...Ch. 6.4 - Prob. 33PCh. 6.4 - Prob. 34PCh. 6.4 - State if these members are in tension or...Ch. 6.4 - Determine the force in members CD, CF, and CG and...Ch. 6.4 - Determine the force in members GF, FB, and BC of...Ch. 6.4 - Prob. 38PCh. 6.4 - Prob. 39PCh. 6.4 - Prob. 40PCh. 6.4 - Prob. 41PCh. 6.4 - Prob. 42PCh. 6.4 - Prob. 43PCh. 6.4 - Prob. 44PCh. 6.4 - Prob. 45PCh. 6.4 - Prob. 46PCh. 6.4 - Prob. 47PCh. 6.4 - Prob. 48PCh. 6.4 - Prob. 49PCh. 6.6 - Determine the force P needed to hold the 60-lb...Ch. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - If a 100-N force is applied to the handles of the...Ch. 6.6 - Prob. 16FPCh. 6.6 - Determine the normal force that the 100-lb plate A...Ch. 6.6 - Also, determine the proper placement x of the hook...Ch. 6.6 - Determine the components of reaction at A and B....Ch. 6.6 - Determine the reactions at D. Prob. F6-20Ch. 6.6 - Determine the components of reaction at A and C....Ch. 6.6 - Determine the components of reaction at C. Prob....Ch. 6.6 - Determine the components of reaction at E. Prob....Ch. 6.6 - Determine the components of reaction at D and the...Ch. 6.6 - The block weighs 100 lb. Prob. 6-62Ch. 6.6 - Prob. 62PCh. 6.6 - Prob. 63PCh. 6.6 - Prob. 64PCh. 6.6 - Prob. 65PCh. 6.6 - Prob. 66PCh. 6.6 - Prob. 67PCh. 6.6 - Prob. 68PCh. 6.6 - Also, what are the horizontal and vertical...Ch. 6.6 - Prob. 70PCh. 6.6 - Prob. 71PCh. 6.6 - Prob. 72PCh. 6.6 - Prob. 73PCh. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - Prob. 76PCh. 6.6 - Prob. 77PCh. 6.6 - Prob. 78PCh. 6.6 - The toggle clamp is subjected to a force F at the...Ch. 6.6 - Determine the force P exerted on each of the...Ch. 6.6 - Prob. 81PCh. 6.6 - Determine the force in the guy cable AI and the...Ch. 6.6 - Prob. 83PCh. 6.6 - Prob. 84PCh. 6.6 - Prob. 85PCh. 6.6 - If the wheel at A exerts a normal force of FA = 80...Ch. 6.6 - Prob. 87PCh. 6.6 - Prob. 88PCh. 6.6 - Prob. 89PCh. 6.6 - Determine the force that the jaws J of the metal...Ch. 6.6 - When the walking beam ABC is horizontal, the force...Ch. 6.6 - Prob. 92PCh. 6.6 - Prob. 93PCh. 6.6 - Determine the total force he must exert on bar AB...Ch. 6.6 - Determine the total force he must exert on bar AB...Ch. 6.6 - Prob. 96PCh. 6.6 - Prob. 97PCh. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - If a clamping force of 300 N is required at A,...Ch. 6.6 - If a force of F = 350 N is applied to the handle...Ch. 6.6 - Prob. 101PCh. 6.6 - Prob. 102PCh. 6.6 - Prob. 103PCh. 6.6 - Prob. 104PCh. 6.6 - Prob. 105PCh. 6.6 - If d = 0.75 ft and the spring has an unstretched...Ch. 6.6 - If a force of F = 50 lb is applied to the pads at...Ch. 6.6 - Determine the force in the hydraulic cylinder AB...Ch. 6.6 - Prob. 109PCh. 6.6 - Prob. 110PCh. 6.6 - Prob. 111PCh. 6.6 - If the sprig has a stiffness of k = 15 lb/in., and...Ch. 6.6 - Prob. 113PCh. 6.6 - Prob. 114PCh. 6.6 - If only vertical forces are supported at the...Ch. 6.6 - Determine the resultant forces at pins B and C on...Ch. 6.6 - Determine the force in each member of the truss...Ch. 6.6 - Determine the horizontal and vertical components...Ch. 6.6 - Prob. 123RPCh. 6.6 - Prob. 124RPCh. 6.6 - Prob. 125RPCh. 6.6 - Determine the force in each member of the truss...
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