INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
14th Edition
ISBN: 9780133918922
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 11.3, Problem 3P
Determine the force screw exerts on the cork of the bottle. The screw is attached to the pin at A and passes through the collar that is attached to the bottle neck at B.
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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 11 Solutions
INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
Ch. 11.3 - Each link has a mass of 20 kg.Ch. 11.3 - Determine the magnitude of force P required to...Ch. 11.3 - Determine the angle for equilibrium. The spring...Ch. 11.3 - Determine the angle for equilibrium. The spring...Ch. 11.3 - Prob. 5FPCh. 11.3 - Determine the angle for equilibrium. The spring...Ch. 11.3 - The lamp weighs 10 lb.Ch. 11.3 - Each of the four links has a length L and is pin...Ch. 11.3 - Determine the force screw exerts on the cork of...Ch. 11.3 - Determine the disks rotation if the end of the...
Ch. 11.3 - Prob. 5PCh. 11.3 - Prob. 6PCh. 11.3 - if the uniform inks AB and CD each weigh 10 lb....Ch. 11.3 - If the unstretched length of the spring is I0,...Ch. 11.3 - It vertical forces P1 = P2 = 30 lb act at C and E...Ch. 11.3 - Prob. 10PCh. 11.3 - The spring which always remains vertical. Is...Ch. 11.3 - Prob. 12PCh. 11.3 - Prob. 13PCh. 11.3 - Prob. 14PCh. 11.3 - Prob. 15PCh. 11.3 - Prob. 16PCh. 11.3 - Prob. 17PCh. 11.3 - Determine the angle for equilibrium. The spring...Ch. 11.3 - Determine the stillness k of the spring for...Ch. 11.3 - Determine the horizontal compressive force F...Ch. 11.3 - Prob. 21PCh. 11.3 - Prob. 22PCh. 11.3 - The lever is in balance when the load and block...Ch. 11.3 - If the load F weighs 20 lb and the block G weighs...Ch. 11.3 - Determine the force in the hydraulic cylinder...Ch. 11.7 - Determine the equilibrium positions and...Ch. 11.7 - Prob. 27PCh. 11.7 - If the potential function for a conservative...Ch. 11.7 - Prob. 29PCh. 11.7 - Prob. 30PCh. 11.7 - The rod BD, having negligible weight, passes...Ch. 11.7 - Determine the angle for equilibrium when a weight...Ch. 11.7 - Determine the angle for equilibrium and...Ch. 11.7 - Prob. 34PCh. 11.7 - Prob. 35PCh. 11.7 - The bars each have a mass of 3 Kg one the...Ch. 11.7 - The bars each have a mass of 10 kg and the spring...Ch. 11.7 - Determine the required stiffness k of the spring...Ch. 11.7 - It is unstretched when the rod assembly is in the...Ch. 11.7 - Determine the minimum distance d in order for it...Ch. 11.7 - If the spring is unstretched when = 60. Determine...Ch. 11.7 - The contact at A is smooth, end both are pm...Ch. 11.7 - Determine the steepest grade along which it can...Ch. 11.7 - Determine the weight W2, that is on the pan in...Ch. 11.7 - If the rod is supported by a smooth slider block...Ch. 11.7 - Point C is coincident with B when OA is...Ch. 11.7 - Prob. 47PCh. 11.7 - Prob. 48PCh. 11.7 - If the block has three equal sides of length d,...Ch. 11.7 - Prob. 1RPCh. 11.7 - Determine the horizontal force P required to hold...Ch. 11.7 - Prob. 3RPCh. 11.7 - Prob. 4RPCh. 11.7 - Prob. 5RPCh. 11.7 - Prob. 6RPCh. 11.7 - If both spring DE and BC are unstretched when =...Ch. 11.7 - Prob. 8RP
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