Engineering Mechanics: Statics
13th Edition
ISBN: 9780132915540
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Textbook Question
Chapter 11.3, Problem 2P
The lamp weighs 10 lb.
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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
B
y(t)
100 L
y(0) = 20 kg
2 L/min
1 L/min
Figure Q1 - Mixing problem for interconnected tanks
Determine the mass of salt in each tank at time t > 0:
Analytically (hand calculations)
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.
www.m
k₁ = 3
(y₁ = 0).
m₁ = 1
k2=2
(y₂ = 0)
|m₂ = 1
Y2
y 2
System in
static
equilibrium
(Net change in
spring length
=32-31)
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)
Chapter 11 Solutions
Engineering Mechanics: Statics
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 - Each of the four links has a length L and is pin...Ch. 11.3 - The lamp weighs 10 lb.Ch. 11.3 - Prob. 3PCh. 11.3 - Prob. 4P
Ch. 11.3 - Prob. 5PCh. 11.3 - Prob. 6PCh. 11.3 - It vertical forces P1 = P2 = 30 lb act at C and E...Ch. 11.3 - Prob. 8PCh. 11.3 - if the uniform inks AB and CD each weigh 10 lb....Ch. 11.3 - Prob. 10PCh. 11.3 - Prob. 11PCh. 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 - Prob. 18PCh. 11.3 - Prob. 19PCh. 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. 11.3 - Determine the horizontal compressive force F...Ch. 11.3 - Prob. 24PCh. 11.3 - Prob. 25PCh. 11.7 - Prob. 26PCh. 11.7 - If the potential function for a conservative...Ch. 11.7 - Prob. 28PCh. 11.7 - Determine the equilibrium positions and...Ch. 11.7 - Prob. 30PCh. 11.7 - Prob. 31PCh. 11.7 - Determine the angle for equilibrium when a weight...Ch. 11.7 - Prob. 33PCh. 11.7 - Prob. 34PCh. 11.7 - Prob. 35PCh. 11.7 - The bars each have a mass of 3 Kg one the...Ch. 11.7 - Prob. 37PCh. 11.7 - Prob. 38PCh. 11.7 - Prob. 39PCh. 11.7 - It is unstretched when the rod assembly is in the...Ch. 11.7 - Prob. 41PCh. 11.7 - Determine the weight W2, that is on the pan in...Ch. 11.7 - Prob. 43PCh. 11.7 - Determine the steepest grade along which it can...Ch. 11.7 - Prob. 45PCh. 11.7 - Prob. 46PCh. 11.7 - Point C is coincident with B when OA is...Ch. 11.7 - If the block has three equal sides of length d,...Ch. 11.7 - Prob. 49PCh. 11.7 - Prob. 50RPCh. 11.7 - Prob. 51RPCh. 11.7 - Prob. 52RPCh. 11.7 - Prob. 53RPCh. 11.7 - Prob. 54RPCh. 11.7 - Prob. 55RPCh. 11.7 - Prob. 56RPCh. 11.7 - Prob. 57RPCh. 11.7 - Prob. 58RPCh. 11.7 - If both spring DE and BC are unstretched when =...Ch. 11.7 - Prob. 60RPCh. 11.7 - Prob. 61RPCh. 11.7 - Determine the horizontal force P required to hold...
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