Hanging from the ceiling over a baby bed, well out of baby's reach, is a string with plastic shapes. The string is taut (there is no slack), as shown by the straight segments. Each plastic shape has the same mass m, and they are equally spaced by a distance d, as shown. The angles labeled e describe the angle formed by the end of the string and the ceiling at each end. The center length of string is horizontal. The remaining two segments each form an angle with the horizontal, labeled p. Let T1 be the tension in the leftmost section of the string, T2 be the tension in the section adjacent to it, and T3 be the tension in the horizontal segment.
Hanging from the ceiling over a baby bed, well out of baby's reach, is a string with plastic shapes. The string is taut (there is no slack), as shown by the straight segments. Each plastic shape has the same mass m, and they are equally spaced by a distance d, as shown. The angles labeled e describe the angle formed by the end of the string and the ceiling at each end. The center length of string is horizontal. The remaining two segments each form an angle with the horizontal, labeled p. Let T1 be the tension in the leftmost section of the string, T2 be the tension in the section adjacent to it, and T3 be the tension in the horizontal segment.
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
Concept explainers
Rotational Equilibrium And Rotational Dynamics
In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics.
Equilibrium of Forces
The tension created on one body during push or pull is known as force.
Question
Suggestion:
To find T2, express the sine or cosine as the appropriate leg divided by the hypotenuse in terms of the force magnitudes.
Transcribed Image Text:Hanging from the ceiling over a baby bed, well out of baby’s reach, is a string with plastic shapes. The string is taut (there is no slack), as shown by the straight segments. Each plastic shape has the same mass \(m\), and they are equally spaced by a distance \(d\), as shown. The angles labeled \(\theta\) describe the angle formed by the end of the string and the ceiling at each end.
The center length of string is horizontal. The remaining two segments each form an angle with the horizontal, labeled \(\phi\). Let \(T_1\) be the tension in the leftmost section of the string, \(T_2\) be the tension in the section adjacent to it, and \(T_3\) be the tension in the horizontal segment.
(a) Find an equation for the tension in each section of the string in terms of the variables \(m\), \(g\), and \(\theta\).
(b) Find the angle \(\phi\) in terms of the angle \(\theta\).
(c) If \(\theta = 5.10^\circ\), what is the value of \(\phi\)?
(d) Find the distance \(x\) between the endpoints in terms of \(d\) and \(\theta\).
**Explanation of Diagram:**
The diagram shows a taut string suspended horizontally with three equally spaced plastic shapes. The string is divided into three sections: two angled sections on the ends and a horizontal section in the middle. The distance between each shape is labeled \(d\). The horizontal segment in the middle is labeled \(x\) and represents the horizontal span between the endpoints of the string. The angles \(\theta\) and \(\phi\) are indicated as the angles formed by the string at the ceiling and with the horizontal, respectively.
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 6 steps with 6 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