Bundle: Physics for Scientists and Engineers, Technology Update, 9th Loose-leaf Version + WebAssign Printed Access Card, Multi-Term
9th Edition
ISBN: 9781305714892
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 22, Problem 22.5OQ
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A planar double pendulum consists of two point masses \[m_1 = 1.00~\mathrm{kg}, \qquad m_2 = 1.00~\mathrm{kg}\]connected by massless, rigid rods of lengths \[L_1 = 1.00~\mathrm{m}, \qquad L_2 = 1.20~\mathrm{m}.\]The upper rod is hinged to a fixed pivot; gravity acts vertically downward with\[g = 9.81~\mathrm{m\,s^{-2}}.\]Define the generalized coordinates \(\theta_1,\theta_2\) as the angles each rod makes with thedownward vertical (positive anticlockwise, measured in radians unless stated otherwise).At \(t=0\) the system is released from rest with \[\theta_1(0)=120^{\circ}, \qquad\theta_2(0)=-10^{\circ}, \qquad\dot{\theta}_1(0)=\dot{\theta}_2(0)=0 .\]Using the exact nonlinear equations of motion (no small-angle or planar-pendulumapproximations) and assuming the rods never stretch or slip, determine the angle\(\theta_2\) at the instant\[t = 10.0~\mathrm{s}.\]Give the result in degrees, in the interval \((-180^{\circ},180^{\circ}]\).
Chapter 22 Solutions
Bundle: Physics for Scientists and Engineers, Technology Update, 9th Loose-leaf Version + WebAssign Printed Access Card, Multi-Term
Ch. 22 - The energy input to an engine is 4.00 times...Ch. 22 - The energy entering an electric heater by...Ch. 22 - Three engines operate between reservoirs separated...Ch. 22 - (a) Suppose you select four cards at random from a...Ch. 22 - An ideal gas is taken from an initial temperature...Ch. 22 - True or False: The entropy change in an adiabatic...Ch. 22 - The second law of thermodynamics implies that the...Ch. 22 - Assume a sample of an ideal gas is at room...Ch. 22 - A refrigerator has 18.0 kJ of work clone on it...Ch. 22 - Of the following, which is not a statement of the...
Ch. 22 - Consider cyclic processes completely characterized...Ch. 22 - Prob. 22.6OQCh. 22 - A steam turbine operates at a boiler temperature...Ch. 22 - A thermodynamic process occurs in which the...Ch. 22 - A sample of a monatomic ideal gas is contained in...Ch. 22 - An engine does 15.0 kJ of work while exhausting...Ch. 22 - The arrow OA in the PV diagram shown in Figure...Ch. 22 - The energy exhaust from a certain coal-fired...Ch. 22 - Discuss three different common examples of natural...Ch. 22 - Prob. 22.3CQCh. 22 - The first law of thermodynamics says you cant...Ch. 22 - Energy is the mistress of the Universe, and...Ch. 22 - Prob. 22.6CQCh. 22 - The device shown in Figure CQ22.7, called a...Ch. 22 - A steam-driven turbine is one major component of...Ch. 22 - Discuss the change in entropy of a gas that...Ch. 22 - Prob. 22.10CQCh. 22 - Prob. 22.11CQCh. 22 - (a) If you shake a jar full of jelly beans of...Ch. 22 - Prob. 22.13CQCh. 22 - A particular heat engine has a mechanical power...Ch. 22 - The work done by an engine equals one-fourth the...Ch. 22 - A heat engine takes in 360 J of energy from a hot...Ch. 22 - A gun is a heat engine. In particular, it is an...Ch. 22 - An engine absorbs 1.70 kJ from a hot reservoir at...Ch. 22 - A multicylinder gasoline engine in an airplane,...Ch. 22 - Suppose a heat engine is connected to two energy...Ch. 22 - A refrigerator has a coefficient of performance...Ch. 22 - During each cycle, a refrigerator ejects 625 kJ of...Ch. 22 - A heat pump has a coefficient of performance of...Ch. 22 - A refrigerator has a coefficient of performance of...Ch. 22 - A heat pump has a coefficient of performance equal...Ch. 22 - A freezer has a coefficient of performance of...Ch. 22 - Prob. 22.14PCh. 22 - One of the most efficient heat engines ever built...Ch. 22 - Why is the following situation impossible? An...Ch. 22 - A Carnot engine has a power output of 150 kW. The...Ch. 22 - A Carnot engine has a power output P. The engine...Ch. 22 - What is the coefficient of performance of a...Ch. 22 - An ideal refrigerator or ideal heat pump is...Ch. 22 - Prob. 22.21PCh. 22 - How much work does an ideal Carnot refrigerator...Ch. 22 - If a 35.0% -efficient Carnot heat engine (Fig....Ch. 22 - A power plant operates at a 32.0% efficiency...Ch. 22 - A heat engine is being designed to have a Carnot...Ch. 22 - A Carnot heat engine operates between temperatures...Ch. 22 - An ideal gas is taken through a Carnot cycle. The...Ch. 22 - Prob. 22.28PCh. 22 - Prob. 22.29PCh. 22 - Suppose you build a two-engine device with the...Ch. 22 - Argon enters a turbine at a rate of 80.0 kg/min, a...Ch. 22 - At point A in a Carnot cycle, 2.34 mol of a...Ch. 22 - An electric generating station is designed to have...Ch. 22 - An ideal (Carnot) freezer in a kitchen has a...Ch. 22 - A heat pump used for heating shown in Figure...Ch. 22 - A gasoline engine has a compression ratio of 6.00....Ch. 22 - In a cylinder of an automobile engine, immediately...Ch. 22 - An idealized diesel engine operates in a cycle...Ch. 22 - Prob. 22.39PCh. 22 - (a) Prepare a table like Table 21.1 for the...Ch. 22 - Prob. 22.41PCh. 22 - An ice tray contains 500 g of liquid water at 0C....Ch. 22 - A Styrofoam cup holding 125 g of hot water at 100C...Ch. 22 - A 1.00-kg iron horseshoe is taken from a forge at...Ch. 22 - A 1 500-kg car is moving at 20.0 m/s. The driver...Ch. 22 - Prob. 22.46PCh. 22 - Prob. 22.47PCh. 22 - 1.00-mol sample of H2 gas is contained in the left...Ch. 22 - A 2.00-L container has a center partition that...Ch. 22 - What change in entropy occurs when a 27.9-g ice...Ch. 22 - Calculate the change in entropy of 250 g of water...Ch. 22 - How fast are you personally making the entropy of...Ch. 22 - When an aluminum bar is connected between a hot...Ch. 22 - When a metal bar is connected between a hot...Ch. 22 - Prob. 22.55PCh. 22 - Calculate the increase in entropy of the Universe...Ch. 22 - How much work is required, using an ideal Carnot...Ch. 22 - Prob. 22.58APCh. 22 - The energy absorbed by an engine is three times...Ch. 22 - Prob. 22.60APCh. 22 - Prob. 22.61APCh. 22 - In 1993, the U.S. government instituted a...Ch. 22 - Prob. 22.63APCh. 22 - One mole of neon gas is heated from 300 K to 420 K...Ch. 22 - Au airtight freezer holds n moles of air at 25.0C...Ch. 22 - Suppose an ideal (Carnot) heat pump could be...Ch. 22 - In 1816, Robert Stirling, a Scottish clergyman,...Ch. 22 - A firebox is at 750 K, and the ambient temperature...Ch. 22 - Review. This problem complements Problem 44 in...Ch. 22 - A biology laboratory is maintained at a constant...Ch. 22 - A power plant, having a Carnot efficiency,...Ch. 22 - A power plant, having a Carnot efficiency,...Ch. 22 - A 1.00-mol sample of an ideal monatomic gas is...Ch. 22 - A system consisting of n moles of an ideal gas...Ch. 22 - A heat engine operates between two reservoirs at...Ch. 22 - A 1.00-mol sample of a monatomic ideal gas is...Ch. 22 - A sample consisting of n moles of an ideal gas...Ch. 22 - An athlete whose mass is 70.0 kg drinks 16.0...Ch. 22 - Prob. 22.79APCh. 22 - Prob. 22.80APCh. 22 - A 1.00-mol sample of an ideal gas ( = 1.40) is...Ch. 22 - The compression ratio of an Otto cycle as shown in...
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