
Physics of Everyday Phenomena
9th Edition
ISBN: 9781259894008
Author: W. Thomas Griffith, Juliet Brosing Professor
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 5, Problem 20CQ
How did Kepler’s view of the solar system differ from that of Copernicus? 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 \((-180^{\circ},180^{\circ}]\).
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Chapter 5 Solutions
Physics of Everyday Phenomena
Ch. 5 - Suppose that the speed of a ball moving in a...Ch. 5 - A car travels around a curve with constant speed....Ch. 5 - Two cars travel around the same curve, one at...Ch. 5 - A car travels the same distance at constant speed...Ch. 5 - The centripetal acceleration depends upon the...Ch. 5 - A ball on the end of a string is whirled with...Ch. 5 - Before the string breaks in question 6, is there a...Ch. 5 - For a ball being twirled in a horizontal circle at...Ch. 5 - A car travels around a flat (nonbanked) curve with...Ch. 5 - Is there a maximum speed at which the car in...
Ch. 5 - If a curve is banked, is it possible for a car to...Ch. 5 - If a ball is whirled in a vertical circle with...Ch. 5 - Sketch the forces acting upon a rider on a Ferris...Ch. 5 - Which safety measure, seat belts or air bags,...Ch. 5 - In a head-on collision between two vehicles, is...Ch. 5 - If a car is equipped with air bags, should it be...Ch. 5 - In what way did the heliocentric view of the solar...Ch. 5 - Did Ptolemys view of the solar system require...Ch. 5 - Heliocentric models of the solar system...Ch. 5 - How did Keplers view of the solar system differ...Ch. 5 - Consider the method of drawing an ellipse pictured...Ch. 5 - Does a planet moving in an elliptical orbit about...Ch. 5 - Does the sun exert a larger force on the Earth...Ch. 5 - Is there a net force acting on the planet Earth?...Ch. 5 - Three equal masses are located as shown in the...Ch. 5 - Two masses are separated by a distance r. If this...Ch. 5 - A painter depicts a portion of the night sky as...Ch. 5 - At what times during the day or night would you...Ch. 5 - At what times of the day or night does the...Ch. 5 - Are we normally able to see the new moon? Explain.Ch. 5 - During what phase of the moon can a solar eclipse...Ch. 5 - A synchronous satellite is one that does not move...Ch. 5 - Is Keplers third law valid for artificial...Ch. 5 - Since the Earth rotates on its axis once every 24...Ch. 5 - Prob. 35CQCh. 5 - Prob. 36CQCh. 5 - A ball is traveling at a constant speed of 4 m/s...Ch. 5 - A car rounds a curve with a radius of 40 m at a...Ch. 5 - A ball traveling in a circle with a constant speed...Ch. 5 - How much larger is the required centripetal...Ch. 5 - A 0.35-kg ball moving in a circle at the end of a...Ch. 5 - A car with a mass of 1500 kg is moving around a...Ch. 5 - A car with a mass of 1300 kg travels around a...Ch. 5 - A Ferris wheel at a carnival has a radius of 8 m...Ch. 5 - What is the ratio of the Earths period of rotation...Ch. 5 - Dylan has a weight of 800 N (about 180 lb) when he...Ch. 5 - Two masses are attracted by a gravitational force...Ch. 5 - Two 700-kg masses (1543 lb) are separated by a...Ch. 5 - Two masses are attracted by a gravitational force...Ch. 5 - The acceleration of gravity at the surface of the...Ch. 5 - The acceleration of gravity on the surface of...Ch. 5 - The time separating high tides is 12 hours and 25...Ch. 5 - A 0.25-kg ball is twirled at the end of a string...Ch. 5 - A Ferris wheel with a radius of 15 m makes one...Ch. 5 - A car with a mass of 1100 kg is traveling around a...Ch. 5 - Assume that a passenger in a rollover accident...Ch. 5 - The suns mass is 1.99 1030 kg, the Earths mass is...Ch. 5 - The period of the moons orbit about the Earth is...
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