You are working for a manufacturing company. Your supervisor has an idea for controlling the position of a small bead by using electric fields. The physical setup is shown in the figure below. Fixed beads mg a Movable bead +ng - pg a - mg Three fixed beads are secured along the y-axis, with a bead of charge +ng at the origin and charges of -mg a distance a above and below the origin. The values of m and n can be set by an operator. On an insulating wire laid along the x-axis, a movable bead with charge -pg is placed. By adjusting m and n, the movable bead can be moved to different equilibrium positions x along the wire. Your supervisor asks you to set up the system and test it. In particular, he asks for answers to the following questions. (a) If n = 7 in a particular test, what is the value of m that will place the movable bead in equilibrium at x = a? m = (b) In a second test with n = 7, what is the value of m that will place the movable bead in equilibrium at x = 2a? m = (c) If n = 7 and the largest you can make m is m = 15, what is the closest equilibrium position of the bead to the origin? (Give your answer in terms of a.) a (d) You decide to impress your supervisor by finding the range of values of m/n that will place the bead in equilibrium somewhere along the x-axis. Note that m, n, and p are not necessarily integers. (Give your answer as an inequality. Use the following as necessary: m, n, p.)
You are working for a manufacturing company. Your supervisor has an idea for controlling the position of a small bead by using electric fields. The physical setup is shown in the figure below. Fixed beads mg a Movable bead +ng - pg a - mg Three fixed beads are secured along the y-axis, with a bead of charge +ng at the origin and charges of -mg a distance a above and below the origin. The values of m and n can be set by an operator. On an insulating wire laid along the x-axis, a movable bead with charge -pg is placed. By adjusting m and n, the movable bead can be moved to different equilibrium positions x along the wire. Your supervisor asks you to set up the system and test it. In particular, he asks for answers to the following questions. (a) If n = 7 in a particular test, what is the value of m that will place the movable bead in equilibrium at x = a? m = (b) In a second test with n = 7, what is the value of m that will place the movable bead in equilibrium at x = 2a? m = (c) If n = 7 and the largest you can make m is m = 15, what is the closest equilibrium position of the bead to the origin? (Give your answer in terms of a.) a (d) You decide to impress your supervisor by finding the range of values of m/n that will place the bead in equilibrium somewhere along the x-axis. Note that m, n, and p are not necessarily integers. (Give your answer as an inequality. Use the following as necessary: m, n, p.)
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
Related questions
Question
P8

Transcribed Image Text:You are working for a manufacturing company. Your supervisor has an idea for controlling the position of a small bead by using electric fields. The physical setup is shown in the figure below.
Fixed
beads
mg
a
Movable
bead
+ng
- pg
a
- mg
Three fixed beads are secured along the y-axis, with a bead of charge +ng at the origin and charges of -mg a distance a above and below the origin. The values of m and n can be set by an operator. On an
insulating wire laid along the x-axis, a movable bead with charge -pg is placed. By adjusting m and n, the movable bead can be moved to different equilibrium positions x along the wire. Your supervisor asks you
to set up the system and test it. In particular, he asks for answers to the following questions.
(a) If n = 7 in a particular test, what is the value of m that will place the movable bead in equilibrium at x = a?
m =
(b) In a second test with n = 7, what is the value of m that will place the movable bead in equilibrium at x = 2a?
m =
(c) If n = 7 and the largest you can make m is m = 15, what is the closest equilibrium position of the bead to the origin? (Give your answer in terms of a.)
a
(d) You decide to impress your supervisor by finding the range of values of m/n that will place the bead in equilibrium somewhere along the x-axis. Note that m, n, and p are not necessarily integers. (Give your
answer as an inequality. Use the following as necessary: m, n, p.)
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 1 images

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.Recommended textbooks for you

College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning

University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON

Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press

College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning

University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON

Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press

Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning

Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley

College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON