Applied Physics (11th Edition)
11th Edition
ISBN: 9780134159386
Author: Dale Ewen, Neill Schurter, Erik Gundersen
Publisher: PEARSON
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Chapter 15.1, Problem 12P
To determine
Find the value of
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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 \((-180^{\circ},180^{\circ}]\).
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ammeter
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simple diagram to illustrate the setup for each law- coulombs law and biot savart law
Chapter 15 Solutions
Applied Physics (11th Edition)
Ch. 15.1 - Change 15C to K.Ch. 15.1 - Prob. 2PCh. 15.1 - Prob. 3PCh. 15.1 - Change 235 K to C.Ch. 15.1 - Prob. 5PCh. 15.1 - Prob. 6PCh. 15.1 - Prob. 7PCh. 15.1 - Change 375R to F.Ch. 15.1 - T=315 K, V=225 cm3, T=275 K, find V.Ch. 15.1 - T=615R, V=60.3 in3, T=455R, find V.
Ch. 15.1 - V=200 ft3, T=95F, V=250 ft3, find T.Ch. 15.1 - Prob. 12PCh. 15.1 - Some gas occupies a volume of 325 m3 at 41 C. What...Ch. 15.1 - Some oxygen occupies 275 in3 at 35C. Find its...Ch. 15.1 - Some methane occupies 1575 L at 45C. Find its...Ch. 15.1 - Some helium occupies 1200ft3 at 70F. At what...Ch. 15.1 - Some nitrogen occupies 14,300 cm3 at 25.6C. What...Ch. 15.1 - Some propane occupies 1270 cm2 at 18.0C. What is...Ch. 15.1 - Some carbon dioxide occupies 34.5 L at 49.0C. Find...Ch. 15.1 - Some oxygen occupies 28.7 ft3 at 11.0F. Find its...Ch. 15.1 - A balloon contains 26.0 L of hydrogen at 40.0F....Ch. 15.1 - Using Charles's law, determine the effect (a) on...Ch. 15.1 - If 38.0 L of hydrogen is heated to 110C and...Ch. 15.1 - Prob. 24PCh. 15.1 - A hot air balloon contains 147 m3 of air at 19.0C....Ch. 15.1 - A tank with 139 L of propane is cooled from 91.0C...Ch. 15.1 - A 2000 L fuel tank filled with propane at 21C is...Ch. 15.1 - A propane nurse tank is left on a job site...Ch. 15.1 - A propane tank now containing 250L of propane was...Ch. 15.1 - A tank with 500 L of propane is heated from 17.0C...Ch. 15.2 - V'=315 cm3, P=101 kPa, P'=85.0 kPa; find V.Ch. 15.2 - V=450L, V'=700L, P=750 kPa; find P'.Ch. 15.2 - V=76.0 m3, V'=139 m3, P'=41.0 kPa; find P.Ch. 15.2 - V=439 in3, P'=38.7 psi, P=47.1 psi; find V'.Ch. 15.2 - D=1.80 kg/m3, P=108 kPa, P'=125 kPa; find D'.Ch. 15.2 - Prob. 6PCh. 15.2 - P=51.0 psi, P'=65.3 psi, D'=0.231 lb/ft3; find D.Ch. 15.2 - Some air at 22.5 psi occupies 1400 in3. What is...Ch. 15.2 - Prob. 9PCh. 15.2 - Prob. 10PCh. 15.2 - Prob. 11PCh. 15.2 - Some oxygen has a density of 1.75 kg/m3 at normal...Ch. 15.2 - Some methane at 500 kPa gauge pressure occupies...Ch. 15.2 - Prob. 14PCh. 15.2 - Some nitrogen at 80.0 psi gauge pressure occupies...Ch. 15.2 - Prob. 16PCh. 15.2 - Prob. 17PCh. 15.2 - Some propane occupies 2.30 m3 at a gauge pressure...Ch. 15.2 - A quantity of oxygen at a gauge pressure of 20.0...Ch. 15.2 - Some air occupies 4.5 m3 at a gauge pressure of 46...Ch. 15.2 - Some oxygen at 87.6 psi (absolute) occupies 75.0...Ch. 15.2 - A gas at 300 kPa (absolute) occupies 40.0 m3. Find...Ch. 15.2 - A volume of 58.0 L of hydrogen is heated from 33C...Ch. 15.2 - Prob. 24PCh. 15.2 - A 2.00-L plastic bottle contains air at a pressure...Ch. 15.2 - Prob. 26PCh. 15.2 - A mass of 1.31 kg of neon is in a 3.00-m3...Ch. 15.2 - The air density in a tractor tire is 1.40 kg/m3 at...Ch. 15.2 - An unknown gas is in a tank at 13.3 kPa. (a) If...Ch. 15.3 - Use Vp=VPto find each quantity. (All pressures are...Ch. 15.3 - Use Vp=VP to find each quantity. (All pressures...Ch. 15.3 - Use Vp=VPto find each quantity. (All pressures are...Ch. 15.3 - Use Vp=VPto find each quantity. (All pressures are...Ch. 15.3 - Use Vp=VP to find each quantity. (All pressures...Ch. 15.3 - We have 600 in3 of oxygen at1500 psi at 65F. What...Ch. 15.3 - We have 800m3 of natural gas at 235 kPa at 30C....Ch. 15.3 - We have 1400 L of nitrogen at 135 kPa at 54C. What...Ch. 15.3 - An acetylene welding tank has a pressure of 2000...Ch. 15.3 - What is the new pressure in Problem 9 if the...Ch. 15.3 - An ideal gas occupies a volume of 5.00 L at STP....Ch. 15.3 - An ideal gas occupies a volume of 5.00 L at STP....Ch. 15.3 - Some propane occupies 2.00 m3 at18.0C at an...Ch. 15.3 - A balloon with volume 3200 mL of xenon gas is at a...Ch. 15.3 - A 7 85-L helium-filled balloon experiences a...Ch. 15 - Prob. 1RQCh. 15 - Prob. 2RQCh. 15 - Prob. 3RQCh. 15 - Prob. 4RQCh. 15 - Prob. 5RQCh. 15 - Prob. 6RQCh. 15 - Prob. 7RQCh. 15 - Prob. 8RQCh. 15 - Prob. 9RQCh. 15 - What causes the tendency of the volume and...Ch. 15 - What causes the tendency of the temperature of a...Ch. 15 - What causes the tendency of the pressure of a gas...Ch. 15 - A gas occupies 13.5 ft3 at 35.8F. What will the...Ch. 15 - A gas occupies 3.45 m3 at 18.5 C. What will the...Ch. 15 - Some hydrogen occupies 115 ft3 at 54.5F. What is...Ch. 15 - Some carbon dioxide occupies 45.3 L at 38.5C. What...Ch. 15 - Some propane occupies 145 cm3 at 12.4 C. What is...Ch. 15 - Some air at 276 kPa occupies 32.4 m3. What is its...Ch. 15 - Some helium at 17.5 psi gauge pressure occupies...Ch. 15 - Prob. 8RPCh. 15 - We have 435 in3 of nitrogen at 1340 psi gauge...Ch. 15 - We have 755 m3 of carbon dioxide at 344 kPa at...Ch. 15 - A welding tank has a gauge pressure of 1950 psi at...Ch. 15 - An ideal gas occupies a volume of 4.50 L at STP....Ch. 15 - An ideal gas occupies a volume of 5.35 L at STP....Ch. 15 - A volume of 1120 L of helium at 4000 Pa is heated...Ch. 15 - In a 47-cm-tall cylinder of radius 7.0 cm,...Ch. 15 - Fran purchases a 1.85-ft3, helium-filled Mylar...Ch. 15 - An automobile tire is filled to an air pressure of...Ch. 15 - A 15.0-cm-long cylinder has a movable piston with...Ch. 15 - A 0.0300-m3 steel tank containing helium is stored...Ch. 15 - A lightweight weather-collecting sensor is...
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