Physics of Everyday Phenomena
9th Edition
ISBN: 9781260048469
Author: Griffith
Publisher: MCG
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Chapter 11, Problem 25CQ
Which has the higher entropy, a deck of cards in which the cards are organized by suit, or a shuffled deck of cards? Explain.
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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 11 Solutions
Physics of Everyday Phenomena
Ch. 11 - Prob. 1CQCh. 11 - Prob. 2CQCh. 11 - In applying the first law of thermodynamics to a...Ch. 11 - Is the total amount of heat released by a heat...Ch. 11 - From the perspective of the first law of...Ch. 11 - Which motor in a hybrid vehiclethe electric or...Ch. 11 - Prob. 7CQCh. 11 - Prob. 8CQCh. 11 - Prob. 9CQCh. 11 - Prob. 10CQ
Ch. 11 - Prob. 11CQCh. 11 - Is it possible for the efficiency of a heat engine...Ch. 11 - Can a Carnot engine operate in an irreversible...Ch. 11 - Does a gasoline-burning automobile engine operate...Ch. 11 - Which would have the greater efficiencya Carnot...Ch. 11 - If we want to increase the efficiency of a Carnot...Ch. 11 - Is a heat pump the same thing as a heat engine?...Ch. 11 - Is a heat pump essentially the same thing as a...Ch. 11 - When a heat pump is used to heat a building, where...Ch. 11 - Is it possible to cool a closed room by leaving...Ch. 11 - Prob. 21CQCh. 11 - Prob. 22CQCh. 11 - Prob. 23CQCh. 11 - Prob. 24CQCh. 11 - Which has the higher entropy, a deck of cards in...Ch. 11 - A hot cup of coffee is allowed to cool down, thus...Ch. 11 - When a substance freezes, the molecules become...Ch. 11 - Which would normally have the greater thermal...Ch. 11 - In what ways is a nuclear power plant similar to a...Ch. 11 - What is the distinction between high-grade heat...Ch. 11 - Prob. 31CQCh. 11 - Prob. 32CQCh. 11 - Is an automobile engine a perpetual-motion...Ch. 11 - Prob. 34CQCh. 11 - Prob. 35CQCh. 11 - The water draining from the bottom of the pond...Ch. 11 - Prob. 37CQCh. 11 - In one cycle, a heat engine takes in 1200 J of...Ch. 11 - A heat engine with an efficiency of 28% does 700 J...Ch. 11 - In one cycle, a heat engine takes in 800 J of heat...Ch. 11 - A heat engine with an efficiency of 35% takes in...Ch. 11 - In one cycle, a heat engine does 700 J of work and...Ch. 11 - A Carnot engine takes in heat at a temperature of...Ch. 11 - A Carnot engine takes in heat from a reservoir at...Ch. 11 - A Carnot engine operates between temperatures of...Ch. 11 - A heat pump takes in 450 J of heat from a...Ch. 11 - In each cycle of its operation, a refrigerator...Ch. 11 - A typical electric refrigerator (see fig. 11.9)...Ch. 11 - A typical nuclear power plant delivers heat from...Ch. 11 - An ocean thermal-energy power plant takes in warm...Ch. 11 - An engineer designs a heat engine using flat-plate...Ch. 11 - Suppose that a typical automobile engine operates...Ch. 11 - Prob. 2SPCh. 11 - A Carnot engine operating in reverse as a heat...Ch. 11 - In section 11.3, we showed that a violation of the...Ch. 11 - Suppose that an oil-fired power plant is designed...
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