University Physics with Modern Physics, Books a la Carte Edition; Modified MasteringPhysics with Pearson eText -- ValuePack Access Card -- for ... eText -- Valuepack Access Card (14th Edition)
14th Edition
ISBN: 9780134308142
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 20.4, Problem 20.4TYU
Can you cool your house by leaving the refrigerator door open?
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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 20 Solutions
University Physics with Modern Physics, Books a la Carte Edition; Modified MasteringPhysics with Pearson eText -- ValuePack Access Card -- for ... eText -- Valuepack Access Card (14th Edition)
Ch. 20.1 - Your left and right hands are normally at the same...Ch. 20.2 - Rank the following heat engines in order from...Ch. 20.3 - For an Otto-cycle engine with cylinders of a fixed...Ch. 20.4 - Can you cool your house by leaving the...Ch. 20.5 - Would a 100%-efficient engine (Fig. 20.11a)...Ch. 20.6 - An inventor looking for financial support comes to...Ch. 20.7 - Suppose 2.00 kg of water at 50C spontaneously...Ch. 20.8 - A quantity of N molecules of an ideal gas...Ch. 20 - A pot is half-filled with water, and a lid is...Ch. 20 - Prob. 20.2DQ
Ch. 20 - Prob. 20.3DQCh. 20 - Prob. 20.4DQCh. 20 - Why must a room air conditioner be placed in a...Ch. 20 - Prob. 20.6DQCh. 20 - Prob. 20.7DQCh. 20 - An electric motor has its shaft coupled to that of...Ch. 20 - When a wet cloth is hung up in a hot wind in the...Ch. 20 - Compare the pV-diagram for the Otto cycle in Fig....Ch. 20 - The efficiency of heat engines is high when the...Ch. 20 - What would be the efficiency of a Carnot engine...Ch. 20 - Real heat engines, like the gasoline engine in a...Ch. 20 - Does a refrigerator full of food consume more...Ch. 20 - In Example 20.4, a Carnot refrigerator requires a...Ch. 20 - How can the thermal conduction of heat from a hot...Ch. 20 - Explain why each of the following processes is an...Ch. 20 - The free expansion of an ideal gas is an adiabatic...Ch. 20 - Are the earth and sun in thermal equilibrium? Are...Ch. 20 - Prob. 20.20DQCh. 20 - Prob. 20.21DQCh. 20 - Prob. 20.22DQCh. 20 - BIO A growing plant creates a highly complex and...Ch. 20 - A diesel engine performs 2200 J of mechanical work...Ch. 20 - An aircraft engine takes in 9000 J of heat and...Ch. 20 - A Gasoline Engine. A gasoline engine takes in 1.61...Ch. 20 - A gasoline engine has a power output of 180 kW...Ch. 20 - The pV-diagram in Fig. E20.5 shows a cycle of heat...Ch. 20 - (a) Calculate the theoretical efficiency for an...Ch. 20 - The Otto-cycle engine in a Mercedes-Benz SL1 a...Ch. 20 - Section 20.4 Refrigerators 20.8The coefficient of...Ch. 20 - A refrigerator has a coefficient of performance of...Ch. 20 - A freezer has a coefficient of performance of...Ch. 20 - A refrigerator has a coefficient of performance of...Ch. 20 - A Carnot engine is operated between two heat...Ch. 20 - A Carnot engine whose high-temperature reservoir...Ch. 20 - An ice-making machine operates in a Carnot cycle....Ch. 20 - A Carnot engine has an efficiency of 66% and...Ch. 20 - A certain brand of freezer is advertised to use...Ch. 20 - A Carnot refrigerator is operated between two heat...Ch. 20 - A Carnot heat engine uses a hot reservoir...Ch. 20 - You design an engine that takes in 1.50 104 J of...Ch. 20 - A 4.50-kg block of ice at 0.00C falls into the...Ch. 20 - A sophomore with nothing better to do adds heat to...Ch. 20 - CALC You decide to take a nice hot bath but...Ch. 20 - A 15.0-kg block of ice at 0.0C melts to liquid...Ch. 20 - CALC You make tea with 0.250 kg of 85.0C water and...Ch. 20 - Three moles of an ideal gas undergo a reversible...Ch. 20 - What is the change in entropy of 0.130 kg of...Ch. 20 - (a) Calculate the change in entropy when 1.00 kg...Ch. 20 - Entropy Change Due to Driving. Premium gasoline...Ch. 20 - CALC Two moles of an ideal gas occupy a volume V....Ch. 20 - A box is separated by a partition into two parts...Ch. 20 - CALC A lonely party balloon with a volume of 2.40...Ch. 20 - You are designing a Carnot engine that has 2 mol...Ch. 20 - CP An ideal Carnot engine operates between 500C...Ch. 20 - Prob. 20.34PCh. 20 - CP A certain heat engine operating on a Carnot...Ch. 20 - A heat engine takes 0.350 mol of a diatomic ideal...Ch. 20 - Prob. 20.37PCh. 20 - What is the thermal efficiency of an engine that...Ch. 20 - CALC You build a heal engine that takes 1.00 mol...Ch. 20 - CP As a budding mechanical engineer, you are...Ch. 20 - CALC A heal engine Operates using the cycle shown...Ch. 20 - CP BIO Humun Entropy. A person who has skin of...Ch. 20 - An experimental power plant at the Natural Energy...Ch. 20 - CP BIO A Human Engine. You decide to use your body...Ch. 20 - CALC A cylinder contains oxygen at a pressure of...Ch. 20 - A monatomic ideal gas it taken around the cycle...Ch. 20 - A Carnot engine operates between two heat...Ch. 20 - A typical coal-fired power plant generates 1000 MW...Ch. 20 - Automotive Thermodynamics. A Volkswagen Passat has...Ch. 20 - An air conditioner operates on 800 W of power and...Ch. 20 - The pV-diagram in Fig. P20.51 shows the cycle for...Ch. 20 - BIO Human Entropy. A person with skin of surface...Ch. 20 - CALC An object of mass m1, specific heat c1, and...Ch. 20 - CALC To heat 1 cup of water (250 cm3) to make...Ch. 20 - DATA In your summer job with a venture capital...Ch. 20 - DATA For a refrigerator or air conditioner, the...Ch. 20 - DATA You are conducting experiments to study...Ch. 20 - Consider a Diesel cycle that starts (at point a in...Ch. 20 - POWER FROM THE SEA. Ocean thermal energy...Ch. 20 - POWER FROM THE SEA. Ocean thermal energy...Ch. 20 - POWER FROM THE SEA. Ocean thermal energy...Ch. 20 - POWER FROM THE SEA. Ocean thermal energy...
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