FUNDAMENTALS OF THERMODYNAMICS
10th Edition
ISBN: 9781119803645
Author: Sonntag
Publisher: WILEY
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Chapter 1, Problem 1.25P
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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)
100
As a spring is heated, its spring constant decreases. Suppose the spring is heated and then cooled so that the
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this is answer to a vibrations question. in the last part it states an assumption of x2, im not sure where this assumption comes from. an answer would be greatly appreciated
Chapter 1 Solutions
FUNDAMENTALS OF THERMODYNAMICS
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Ch. 1 - Two divers swim at a depth of 20 m. One of them...Ch. 1 - An operating room has a positive gage pressure,...Ch. 1 - A water skier does not sink too far down in the...Ch. 1 - What is the lowest temperature in degrees Celsius?...Ch. 1 - How cold can it be on Earth and in empty space?Ch. 1 - A thermometer that indicates the temperature with...Ch. 1 - How can you illustrate the binding energy between...Ch. 1 - One kilopond (1 kp) is the weight of 1 kg in the...Ch. 1 - A stainless steel storage tank contains 5kg of...Ch. 1 - A steel cylinder of mass 4kg contains 4L of water...Ch. 1 - The Rover Explorer has a mass of 185Kg , how much...Ch. 1 - A 1700kg car moving at 80km/h is decelerated at a...Ch. 1 - The elevator in a hotel has a mass of 750kg , and...Ch. 1 - One of the people in the previous problem weighs...Ch. 1 - A 1m3 container is filled with 400kg of granite...Ch. 1 - A power plant that separates carbon dioxide from...Ch. 1 - A 5m3 container is filled with 900kg of granite...Ch. 1 - A 5000kg elephant has a cross-sectional area of...Ch. 1 - A valve in the cylinder shown in Fig. P1.29 has a...Ch. 1 - The piston cylinder in Fig. P1.29 has a diameter...Ch. 1 - A hydraulic lift has a maximum fluid pressure of...Ch. 1 - Ahydraulic cylinder has a 125mm diameter piston...Ch. 1 - A 75kg human total footprint is 0.05m2 when the...Ch. 1 - A piston/cylinder with a cross-sectional area of...Ch. 1 - A 2.5m -tall steel cylinder has a cross-sectional...Ch. 1 - An underwater buoy is anchored at the seabed with...Ch. 1 - A floating oil rig is anchored in the seabed with...Ch. 1 - At the beach, atmospheric pressure is 1025 mbar....Ch. 1 - A steel tank of cross-sectional area 3m2 and...Ch. 1 - A piston mp=5kg , is fitted in a cylinder. A=15cm2...Ch. 1 - A container ship is 240m long and 22m wide. Assume...Ch. 1 - A probe is lowered 16m into a lake. Find the...Ch. 1 - A person, 75kg , wants to fly (hoover) on a 2kg...Ch. 1 - The density of atmospheric air is about 1.15kg/m3...Ch. 1 - A barometer to measure absolute pressure shows a...Ch. 1 - A differential pressure gauge mounted on a vessel...Ch. 1 - What pressure difference a 100-m column of...Ch. 1 - A barometer measures 760mmHg at street level and...Ch. 1 - An exploration submarine should be able to descend...Ch. 1 - The absolute pressure in a tank is 115kPa and the...Ch. 1 - An absolute pressure gauge attached to a steel...Ch. 1 - A pipe flowing light oil has a manometer attached,...Ch. 1 - The difference in height between the columns of a...Ch. 1 - A piece of experimental apparatus. Fig. P1.54. is...Ch. 1 - A 0.2m3 piece of softwood is lifted upto the top...Ch. 1 - A car of mass 1775kg travels with a velocity of...Ch. 1 - What is temperature of 5C in degrees Kelvin?Ch. 1 - A mercury thermometer measures temperature by...Ch. 1 - The density of liquid water is =1008T/2(kg/m3)...Ch. 1 - Repeat Problem 1.54 if the flow inside the...Ch. 1 - Adam retains a lake 6m deep, as shown in Fig, P...Ch. 1 - In the city water tower, water is pumped up to a...Ch. 1 - The main waterline into a tall building has a...Ch. 1 - A mass of 2lbm has an acceleration of 5ft/s2 ....Ch. 1 - How much mass is in 1 gal of gasoline? In helium...Ch. 1 - Can you easily carry a 16m bar of solid gold?Ch. 1 - What is the temperature of 5F in degrees Rankine?Ch. 1 - What is the lowest possible temperature in degrees...Ch. 1 - What is the relative magnitude of degree Rankine...Ch. 1 - The Rover Explorer has a mass of 410Ibm , how much...Ch. 1 - A 2500Ibm car moving at 25mi/h is accelerated at a...Ch. 1 - An escalator brines four people with a total mass...Ch. 1 - A car of mass 4000Ibm travels with a velocity of...Ch. 1 - A power plant that separates carbon dioxide from...Ch. 1 - The piston cylinder in Fig. P1.29 has a diameter...Ch. 1 - A laboratory room keeps a vacuum of oil 1in. of...Ch. 1 - A person, 175Ibm , wants to fly (hoover) on a 4lbm...Ch. 1 - A floating oil rig is anchored in the seabed with...Ch. 1 - A container ship is 790ft long and 72ft wide....Ch. 1 - A manometer shows a pressure difference of 3.5in....Ch. 1 - What pressure difference does a 300-ft column of...Ch. 1 - A piston cylinder with a cross-sectional area of...Ch. 1 - The main waterline into a tall building has a...Ch. 1 - A piston, mp=10lbm , is fitted in a cylinder,...Ch. 1 - The human comfort zone is between 18 and 24C ....
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