5th Edition

ISBN: 9780321976444

Author: James S. Walker

Publisher: PEARSON

Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth w…

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Textbook Question

Chapter 9.6, Problem 6EYU

Enhance Your Understanding

(Answers given at the end of the chapter)

1. The 1-kg block in Figure 9-17 slides to the right on a frictionless surface and undergoes an elastic collision with a 2-kg block that is initially at rest.

Chapter 9.6, Problem 6EYU, Enhance Your Understanding (Answers given at the end of the chapter) 1. The 1-kg block in Figure

Figure 9-17 Enhance Your Understanding 6.

(a)

What is the direction of travel of the 1-kg block after the collision?

(b)

Which block has the greater speed after the collision?

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Chapter 9.5, Problem 5EYU

Chapter 9.7, Problem 7EYU

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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 9 Solutions

Physics (5th Edition)

Ch. 9.1 - Enhance Your Understanding (Answers given at the...Ch. 9.2 - Enhance Your Understanding (Answers given at the...Ch. 9.3 - Enhance Your Understanding (Answers given at the...Ch. 9.4 - Enhance Your Understanding (Answers given at the...Ch. 9.5 - Prob. 5EYU Ch. 9.6 - Enhance Your Understanding (Answers given at the...Ch. 9.7 - Enhance Your Understanding (Answers given at the...Ch. 9.8 - Prob. 8EYU Ch. 9 - If you drop your Keys, their momentum increases as...Ch. 9 - By what factor does an objects kinetic energy...

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