Physics
Physics
7th Edition
ISBN: 9780321625915
Author: Douglas C. Giancoli
Publisher: PEARSON
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Chapter 10, Problem 5Q

Will an ice cube float in a glass of alcohol? Why or why not?

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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 10 Solutions

Physics

Ch. 10 - Prob. 9QCh. 10 - Will an empty balloon have precisely the same...Ch. 10 - Prob. 11QCh. 10 - Prob. 12QCh. 10 - Prob. 13QCh. 10 - A tall Styrofoam cup is filled with water. Two...Ch. 10 - Prob. 15QCh. 10 - 16. Two ships moving in parallel paths close to...Ch. 10 - Prob. 17QCh. 10 - Prob. 18QCh. 10 - Prob. 19QCh. 10 - Prob. 20QCh. 10 - Prob. 21QCh. 10 - Prob. 1MCQCh. 10 - Prob. 2MCQCh. 10 - Prob. 3MCQCh. 10 - Prob. 4MCQCh. 10 - Prob. 5MCQCh. 10 - Prob. 6MCQCh. 10 - Prob. 7MCQCh. 10 - Prob. 8MCQCh. 10 - 9. As water flows from a low elevation to a higher...Ch. 10 - Prob. 10MCQCh. 10 - Prob. 11MCQCh. 10 - Prob. 12MCQCh. 10 - Prob. 1PCh. 10 - What is the approximate mass of air in a living...Ch. 10 - If you tried to smuggle gold bricks by filling...Ch. 10 - Prob. 4PCh. 10 - Prob. 5PCh. 10 - If 4.0 L of antifreeze solution (specific gravity...Ch. 10 - Prob. 7PCh. 10 - Estimate the pressure needed to raise a column of...Ch. 10 - Prob. 9PCh. 10 - 10. (I) What is the difference in blood pressure...Ch. 10 - (I) (a) Calculate the total force of the...Ch. 10 - Prob. 12PCh. 10 - Prob. 13PCh. 10 - The maximum gauge pressure in a hydraulic lift is...Ch. 10 - The gauge pressure in each of the four tires of an...Ch. 10 - (a) Determine the total force and the absolute...Ch. 10 - Prob. 17PCh. 10 - Prob. 18PCh. 10 - Prob. 19PCh. 10 - Determine the minimum gauge pressure needed in the...Ch. 10 - Prob. 21PCh. 10 - Prob. 22PCh. 10 - What fraction of a piece of iron will be submerged...Ch. 10 - A geologist finds that a Moon rock whose mass is...Ch. 10 - Prob. 25PCh. 10 - (II) A spherical balloon has a radius of 7.15 m...Ch. 10 - Prob. 27PCh. 10 - Calculate the true mass (in vacuum) of a piece of...Ch. 10 - 29. (II) Because gasoline is less dense than...Ch. 10 - A scuba diver and her gear displace a volume of...Ch. 10 - Prob. 31PCh. 10 - Prob. 32PCh. 10 - Prob. 33PCh. 10 - An undersea research chamber is spherical with an...Ch. 10 - Prob. 35PCh. 10 - Prob. 36PCh. 10 - Prob. 37PCh. 10 - Prob. 38PCh. 10 - A scuba tank, when fully submerged, displaces 15.7...Ch. 10 - Prob. 40PCh. 10 - A 12-cm-radius air duct is used to replenish the...Ch. 10 - Prob. 42PCh. 10 - Prob. 43PCh. 10 - Prob. 44PCh. 10 - Prob. 45PCh. 10 - Prob. 46PCh. 10 - What gauge pressure in the water pipes is...Ch. 10 - A 5/8— in. (inside) diameter garden hose is used...Ch. 10 - Prob. 49PCh. 10 - Prob. 50PCh. 10 - Prob. 51PCh. 10 - What is the lift (in newtons) due to Bernoulli's...Ch. 10 - Prob. 53PCh. 10 - Prob. 54PCh. 10 - Prob. 55PCh. 10 - Prob. 56PCh. 10 - Prob. 57PCh. 10 - Prob. 58PCh. 10 - Prob. 59PCh. 10 - Prob. 60PCh. 10 - Prob. 61PCh. 10 - Prob. 62PCh. 10 - Prob. 63PCh. 10 - Assuming a constant pressure gradient, if blood...Ch. 10 - Prob. 65PCh. 10 - Prob. 66PCh. 10 - Prob. 67PCh. 10 - Prob. 68PCh. 10 - Prob. 69PCh. 10 - If the base of an insect’s leg has a radius of...Ch. 10 - Prob. 71PCh. 10 - Prob. 72PCh. 10 - Prob. 73GPCh. 10 - Intravenous transfusions are often made under...Ch. 10 - Prob. 75GPCh. 10 - Prob. 76GPCh. 10 - Prob. 77GPCh. 10 - Prob. 78GPCh. 10 - Prob. 79GPCh. 10 - Prob. 80GPCh. 10 - Prob. 81GPCh. 10 - Prob. 82GPCh. 10 - Prob. 83GPCh. 10 - Prob. 84GPCh. 10 - Prob. 85GPCh. 10 - Prob. 86GPCh. 10 - Prob. 87GPCh. 10 - Prob. 88GPCh. 10 - Four lawn sprinkler heads are fed by a...Ch. 10 - Prob. 90GPCh. 10 - Prob. 91GPCh. 10 - Prob. 92GPCh. 10 - Prob. 93GPCh. 10 - Prob. 94GPCh. 10 - Prob. 95GPCh. 10 - Prob. 96GPCh. 10 - Prob. 97GPCh. 10 - Prob. 98GPCh. 10 - Prob. 99GP
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