Part G Write equations for the constraints and other given information in this problem, the fact that the length of the string does not change imposes a constraint on relative accelerations of the two blocks. Find a relationship between the x component of the acceleration of block 2, a2x, and the acceleration of block 1. Pay careful attention to signs. Express a2x in terms of aix and/or aly, the components of the acceleration vector of block 1. ► View Available Hint(s) a2x = [5] ΑΣΦ xa Xb b √x x x Submit Previous Answers Request Answer x |X| X.10n

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)...
icon
Related questions
icon
Concept explainers
Question
Part G
Write equations for the constraints and other given information In this problem, the fact that the length of the string does not change imposes a constraint on relative accelerations of the two
blocks. Find a relationship between the x component of the acceleration of block 2, a2x, and the acceleration of block 1. Pay careful attention to signs.
Express a2x in terms of a₁x and/or aly, the components of the acceleration vector of block 1.
► View Available Hint(s)
a2x =
xa
Π| ΑΣΦ
Xb
b
√x vx x
Submit Previous Answers Request Answer
<४
IXI
wwwwwwwwww
?
X.10n
X
Transcribed Image Text:Part G Write equations for the constraints and other given information In this problem, the fact that the length of the string does not change imposes a constraint on relative accelerations of the two blocks. Find a relationship between the x component of the acceleration of block 2, a2x, and the acceleration of block 1. Pay careful attention to signs. Express a2x in terms of a₁x and/or aly, the components of the acceleration vector of block 1. ► View Available Hint(s) a2x = xa Π| ΑΣΦ Xb b √x vx x Submit Previous Answers Request Answer <४ IXI wwwwwwwwww ? X.10n X
Learning Goal:
Once you have decided to solve a problem using Newton's 2nd law, there are
steps that will lead you to a solution. One such prescription is the following:
• Visualize the problem and identify special cases.
• Isolate each body and draw the forces acting on it.
●
Choose a coordinate system for each body.
Apply Newton's 2nd law to each body.
Write equations for the constraints and other given information.
• Solve the resulting equations symbolically.
• Check that your answer has the correct dimensions and satisfies
special cases.
●
●
●
If numbers are given in the problem, plug them in and check that
the answer makes sense.
• Think about generalizations or simplifications of the problem.
As an example, we will apply this procedure to find the acceleration of a block of
mass m₂ that is pulled up a frictionless plane inclined at angle with respect to
the horizontal by a massless string that passes over a massless, frictionless
pulley to a block of mass m₁ that is hanging vertically. (Figure 1)
Figure
block 2
block 1
1 of 2
>
Transcribed Image Text:Learning Goal: Once you have decided to solve a problem using Newton's 2nd law, there are steps that will lead you to a solution. One such prescription is the following: • Visualize the problem and identify special cases. • Isolate each body and draw the forces acting on it. ● Choose a coordinate system for each body. Apply Newton's 2nd law to each body. Write equations for the constraints and other given information. • Solve the resulting equations symbolically. • Check that your answer has the correct dimensions and satisfies special cases. ● ● ● If numbers are given in the problem, plug them in and check that the answer makes sense. • Think about generalizations or simplifications of the problem. As an example, we will apply this procedure to find the acceleration of a block of mass m₂ that is pulled up a frictionless plane inclined at angle with respect to the horizontal by a massless string that passes over a massless, frictionless pulley to a block of mass m₁ that is hanging vertically. (Figure 1) Figure block 2 block 1 1 of 2 >
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Estimate of calculation
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
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…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON