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…

Videos

Textbook Question

Chapter 11, Problem 92PP

BIO Correcting Torsiversion

Torsiversion is a medical condition in which a tooth is rotated away from its normal position about the long axis of the root Studies show that about 2 percent of the population suffer from this condition to some degree. For those who do, the improper alignment of the tooth can lead to tooth-to-tooth collisions during eating, as well as other problems. Typical patients display a rotation ranging from 20° to 60°, with an average around 30°.

An example is shown in Figure 11-69 (a), where the first premolar is not only displaced slightly from its proper location in the negative y direction, but also rotated clockwise from its normal orientation. To correct this condition an orthodontist might use an archwire and a bracket to apply both a force and a torque to the tooth. In the simplest case, two forces are applied to the tooth in different locations, as indicated by F₁ and F₂ in Figure 11-69 (a). These two forces, if chosen properly, can reposition the tooth by exerting a net force in the positive y direction, and also reorient it by applying a torque in the counterclockwise direction.

Chapter 11, Problem 92PP, BIO Correcting Torsiversion Torsiversion is a medical condition in which a tooth is rotated away

Figure 11-69 Problems 92, 93, 94, and 95

In a typical case it may be desired to have a net force in the positive y direction of 1.8 N. In addition, the distances in Figure 11-69 (a) can be taken to be d = 3.2 mm and D = 4.5 mm. Given these conditions, a range of torques is possible for various values of the y components of the forces, F_1y and F_2y. For example Figure 11-69 (b) shows the values of F_1y and F_2y necessary to produce a given torque, where the torque is measured about the center of the tooth (which is also the origin of the coordinate system). Notice that the two forces always add to 1.8 N in the positive y direction, though one of the forces changes sign as the torque is increased.

92. •• The two solid lines in Figure 11-69 (b) represent the two forces applied to the tooth. Which of the following statements about the two lines is correct?

A. Line I = F_1y, line II = F_2y.
B. The force indicated by line I changes sign.
C. Line I = F_2y, line II = F_1y.
D. The magnitude of the force indicated by line II is greater than the magnitude of the force indicated by line I.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 11, Problem 91GP

Chapter 11, Problem 93PP

Students have asked these similar questions

For each of the actions depicted below, a magnet and/or metal loop moves with velocity v→ (v→ is constant and has the same magnitude in all parts). Determine whether a current is induced in the metal loop. If so, indicate the direction of the current in the loop, either clockwise or counterclockwise when seen from the right of the loop. The axis of the magnet is lined up with the center of the loop. For the action depicted in (Figure 5), indicate the direction of the induced current in the loop (clockwise, counterclockwise or zero, when seen from the right of the loop). I know that the current is clockwise, I just dont understand why. Please fully explain why it's clockwise, Thank you

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 \((-180^{\circ},180^{\circ}]\).

What are the expected readings of the ammeter and voltmeter for the circuit in the figure below? (R = 5.60 Ω, ΔV = 6.30 V) ammeter I =

Chapter 11 Solutions

Physics (5th Edition)

Ch. 11.1 - A bicycle wheel is mounted on an axle, as shown in...Ch. 11.2 - Consider two objects with the following...Ch. 11.3 - A Physics sign is supported symmetrically by two...Ch. 11.4 - A mobile made from three piggy banks (A, B, C) is...Ch. 11.5 - Prob. 5EYU Ch. 11.6 - Consider two objects with the following...Ch. 11.7 - Prob. 7EYU Ch. 11.8 - In system 1, a torque of 20 N m acts through an...Ch. 11.9 - The angular velocity of the spinning bicycle wheel...Ch. 11 - Two forces produce the same torque. Does it follow...

Additional Science Textbook Solutions

Find more solutions based on key concepts

Correct any incorrect equations. If no reaction occurs, write NO REACTION. a. Ba(NO3)2(aq)+(NH4)2SO4(aq)BaSO4(s...

Introductory Chemistry (6th Edition)

3. What are serous membranes, and what are their functions?

Human Anatomy & Physiology (2nd Edition)

What type of unconformity separates layer G from layer F?

Applications and Investigations in Earth Science (9th Edition)

3. In a test of his chromosome theory of heredity, Morgan crossed an F1 female Drosophila with red eyes to a m...

Genetic Analysis: An Integrated Approach (3rd Edition)

What is the difference between cellular respiration and external respiration?

Human Physiology: An Integrated Approach (8th Edition)

Some organizations are starting to envision a sustainable societyone in which each generation inherits sufficie...

Campbell Essential Biology (7th Edition)

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.