An Introduction to Physical Science
14th Edition
ISBN: 9781305079137
Author: James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher: Cengage Learning
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Chapter 2, Problem JM
To determine
To pick the right word from list: Motion solely under the influence of gravity.
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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 2 Solutions
An Introduction to Physical Science
Ch. 2.1 - What is needed to designate a position?Ch. 2.1 - What is motion?Ch. 2.2 - Between two points, which may be greater in...Ch. 2.2 - Prob. 2PQCh. 2.2 - Prob. 2.1CECh. 2.2 - A communications satellite is in a circular orbit...Ch. 2.3 - What is the average speed in mi/h of a person at...Ch. 2.3 - What motional changes produce an acceleration?Ch. 2.3 - Prob. 2PQCh. 2.3 - If the car in the preceding example continues to...
Ch. 2.3 - Prob. 2.5CECh. 2.4 - Prob. 1PQCh. 2.4 - Prob. 2PQCh. 2.4 - Prob. 2.6CECh. 2.5 - Neglecting air resistance, why would a ball...Ch. 2.5 - Prob. 2PQCh. 2 - Visualize the connections and give the descriptive...Ch. 2 - KEY TERMS 1. physics (intro) 2. position (2.1) 3....Ch. 2 - KEY TERMS 1. physics (intro) 2. position (2.1) 3....Ch. 2 - Prob. CMCh. 2 - Prob. DMCh. 2 - Prob. EMCh. 2 - Prob. FMCh. 2 - Prob. GMCh. 2 - Prob. HMCh. 2 - Prob. IMCh. 2 - Prob. JMCh. 2 - Prob. KMCh. 2 - Prob. LMCh. 2 - Prob. MMCh. 2 - Prob. NMCh. 2 - Prob. OMCh. 2 - Prob. PMCh. 2 - Prob. QMCh. 2 - KEY TERMS 1. physics (intro) 2. position (2.1) 3....Ch. 2 - What is necessary to designate a position? (2.1)...Ch. 2 - Which one of the following describes an object in...Ch. 2 - Which one of the following is always true about...Ch. 2 - Which is true of an object with uniform velocity?...Ch. 2 - Acceleration may result from what? (2.3) (a) an...Ch. 2 - For a constant linear acceleration, what changes...Ch. 2 - Which one of the following is true for a...Ch. 2 - An object is projected straight upward. Neglecting...Ch. 2 - If the speed of an object in uniform circular...Ch. 2 - Neglecting air resistance, which of the following...Ch. 2 - In the absence of air resistance, a projectile...Ch. 2 - A football is thrown on a long pass. Compared to...Ch. 2 - An object is in motion when it undergoes a...Ch. 2 - Speed is a(n) ___ quantity. (2.2)Ch. 2 - Velocity is a(n) ___ quantity. (2.2)Ch. 2 - ___ is the actual path length. (2.2)Ch. 2 - Prob. 5FIBCh. 2 - Prob. 6FIBCh. 2 - The distance traveled by a dropped object...Ch. 2 - Prob. 8FIBCh. 2 - The metric units associated with acceleration are...Ch. 2 - Prob. 10FIBCh. 2 - Prob. 11FIBCh. 2 - Neglecting air resistance, a horizontally thrown...Ch. 2 - What area of physics involves the study of objects...Ch. 2 - What is necessary to designate the position of an...Ch. 2 - How are length and time used to describe motion?Ch. 2 - Prob. 4SACh. 2 - Prob. 5SACh. 2 - How is average speed analogous to an average class...Ch. 2 - A jogger jogs two blocks directly north. (a) How...Ch. 2 - Prob. 8SACh. 2 - The gas pedal of a car is commonly referred to as...Ch. 2 - Does a negative acceleration always mean that an...Ch. 2 - A ball is dropped. Assuming free fall, what is its...Ch. 2 - A vertically projected object has zero velocity at...Ch. 2 - Can a car be moving at a constant speed of 60 km/h...Ch. 2 - What is centripetal about centripetal...Ch. 2 - Are we accelerating as a consequence of the Earth...Ch. 2 - What is the direction of the acceleration vector...Ch. 2 - For projectile motion, what quantities are...Ch. 2 - How do the motions of horizontal projections with...Ch. 2 - Prob. 19SACh. 2 - Can a baseball pitcher throw a fastball in a...Ch. 2 - Figure 2.14(b) shows a multiflash photograph of...Ch. 2 - Taking into account air resistance, how do you...Ch. 2 - Do highway speed limit signs refer to average...Ch. 2 - Prob. 2AYKCh. 2 - What is the direction of the acceleration vector...Ch. 2 - Is an object projected vertically upward in free...Ch. 2 - A student sees her physical science professor...Ch. 2 - How would (a) an updraft affect a skydiver in...Ch. 2 - A skydiver uses a parachute to slow the landing...Ch. 2 - Tractor-trailer rigs often have an airfoil on top...Ch. 2 - A gardener walks in a flower garden as illustrated...Ch. 2 - What is the gardeners displacement (Fig. 2.21)?...Ch. 2 - At a track meet, a runner runs the 100-m dash in...Ch. 2 - A jogger jogs around a circular track with a...Ch. 2 - A space probe on the surface of Mars sends a radio...Ch. 2 - A group of college students eager to get to...Ch. 2 - A student drives the 100-mi trip back to campus...Ch. 2 - A jogger jogs from one end to the other of a...Ch. 2 - An airplane flying directly eastward at a constant...Ch. 2 - A race car traveling northward on a straight,...Ch. 2 - A sprinter starting from rest on a straight, level...Ch. 2 - Modern oil tankers weigh more than a half-million...Ch. 2 - A motorboat starting from rest travels in a...Ch. 2 - A car travels on a straight, level road. (a)...Ch. 2 - A ball is dropped from the top of an 80-m-high...Ch. 2 - What speed does the ball in Exercise 15 have in...Ch. 2 - Figure 1.18 (Chapter 1) shows the Hoover Dam...Ch. 2 - A spaceship hovering over the surface of Mars...Ch. 2 - A person drives a car around a circular, level...Ch. 2 - A race car goes around a circular, level track...Ch. 2 - If you drop an object from a height of 1.5 m, it...Ch. 2 - A golfer on a level fairway hits a ball at an...
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Position/Velocity/Acceleration Part 1: Definitions; Author: Professor Dave explains;https://www.youtube.com/watch?v=4dCrkp8qgLU;License: Standard YouTube License, CC-BY