I. Blocks connected by a rope Two blocks, A and B, are tied together with a rope of mass M. Block B is being pushed with a constant horizontal force as shown at right. Assume that there is no friction between the blocks and the table and that the blocks have already been moving for a while at the instant shown. Rope has mass M bee A R A. Describe the motions of block A, block B, and the rope. an od nd B. On a large sheet of paper, draw a separate free-body diagram for each block and for the rope. Clearly label the forces. Copy your free-body diagrams below after discussion. Free-body diagram for block A Free-body diagram for block B Free-body diagram for rope boaoqmoo mate comboesq C. Identify all the Newton's third law (action-reaction) force pairs in your diagrams by placing one or more small "x" symbols through each member of the pair (i.e., mark each member of the first pair as , each member of the second pair as **, etc.).

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
Question
---

### TENSION

---

#### I. Blocks connected by a rope
Two blocks, A and B, are tied together with a rope of mass \( M \). Block B is being pushed with a constant horizontal force as shown at right. Assume that there is no friction between the blocks and the table and that the blocks have already been moving for a while at the instant shown.

**Diagram**:
- This diagram illustrates two blocks, A and B, connected by a rope of mass \( M \). Block B is subjected to a force pushing it to the right.

**A. Describe the motions of block A, block B, and the rope.**

**B. On a large sheet of paper, draw a separate free-body diagram for each block and for the rope. Clearly label the forces.**

**[Copy your free-body diagrams below after discussion.]**

| Free-body diagram for block A | Free-body diagram for rope | Free-body diagram for block B |
|-------------------------------|----------------------------|-------------------------------|
| ![Placeholder for free-body diagram for block A] | ![Placeholder for free-body diagram for rope] | ![Placeholder for free-body diagram for block B] |

**C. Identify all the Newton's third law (action-reaction) force pairs in your diagrams by placing one or more small "x" symbols through each member of the pair (i.e., mark each member of the first pair as ![symbol] \(\Rightarrow\) ![symbol], each member of the second pair as ![symbol] \(\Rightarrow\) ![symbol], etc.).**

**D. Rank, from largest to smallest, the magnitudes of the *horizontal components* of the forces on your diagrams. Explain your reasoning.**

**E. Consider the horizontal components of the forces exerted on the *rope* by blocks A and B. Is your answer above for the relative magnitudes of these components consistent with your knowledge of the net force on the rope?**

⌕ Check your reasoning with a tutorial instructor before proceeding.

---

*Tutorials in Introductory Physics*  
McDermott, Shaffer, and the P.E.G., U. Wash. Custom 2nd Ed., for U. CO, Boulder  
©Pearson
Transcribed Image Text:--- ### TENSION --- #### I. Blocks connected by a rope Two blocks, A and B, are tied together with a rope of mass \( M \). Block B is being pushed with a constant horizontal force as shown at right. Assume that there is no friction between the blocks and the table and that the blocks have already been moving for a while at the instant shown. **Diagram**: - This diagram illustrates two blocks, A and B, connected by a rope of mass \( M \). Block B is subjected to a force pushing it to the right. **A. Describe the motions of block A, block B, and the rope.** **B. On a large sheet of paper, draw a separate free-body diagram for each block and for the rope. Clearly label the forces.** **[Copy your free-body diagrams below after discussion.]** | Free-body diagram for block A | Free-body diagram for rope | Free-body diagram for block B | |-------------------------------|----------------------------|-------------------------------| | ![Placeholder for free-body diagram for block A] | ![Placeholder for free-body diagram for rope] | ![Placeholder for free-body diagram for block B] | **C. Identify all the Newton's third law (action-reaction) force pairs in your diagrams by placing one or more small "x" symbols through each member of the pair (i.e., mark each member of the first pair as ![symbol] \(\Rightarrow\) ![symbol], each member of the second pair as ![symbol] \(\Rightarrow\) ![symbol], etc.).** **D. Rank, from largest to smallest, the magnitudes of the *horizontal components* of the forces on your diagrams. Explain your reasoning.** **E. Consider the horizontal components of the forces exerted on the *rope* by blocks A and B. Is your answer above for the relative magnitudes of these components consistent with your knowledge of the net force on the rope?** ⌕ Check your reasoning with a tutorial instructor before proceeding. --- *Tutorials in Introductory Physics* McDermott, Shaffer, and the P.E.G., U. Wash. Custom 2nd Ed., for U. CO, Boulder ©Pearson
## Blocks Connected by a Very Light String

The blocks in section I are now connected with a very light, flexible, and inextensible string of mass \(m\) (\(m < M\)).

### A. If the motion of the blocks is the same as in section I, how does the net force on the string compare to the net force on the rope?

**Diagram Explanation:**
The diagram shows two blocks, labeled A and B, connected by a string labeled S. The string has mass \(m\).

1. **Determine whether the net force on each of the following is greater than, less than, or equal to the net force on the corresponding object or system in section I. Explain:**

- **Block A**
  
- **Block B**
  
- **The system composed of the blocks and the connecting string**

2. **Compare the horizontal components of the following pairs of forces:**

- **The force on the string by block A and the force on the rope by block A. Explain.**
  
- **The force on the string by block B and the force on the rope by block B. Explain.**

### B. Suppose the mass of the string that connects blocks A and B becomes smaller and smaller, but the motion remains the same as in section I. What happens to:

- **The magnitude of the net force on that connecting string?**

- **The magnitudes of the forces exerted on that connecting string by blocks A and B?**

### C. A string exerts a force on each of the two objects to which it is attached. For a massless string, the magnitude of both forces is often referred to as "the tension in the string."

Justify the use of this approach, in which a single value is assumed for the magnitude of both forces.

_**Note:** This content is derived from "Tutorials in Introductory Physics II," a companion manual to introductory physics courses._
Transcribed Image Text:## Blocks Connected by a Very Light String The blocks in section I are now connected with a very light, flexible, and inextensible string of mass \(m\) (\(m < M\)). ### A. If the motion of the blocks is the same as in section I, how does the net force on the string compare to the net force on the rope? **Diagram Explanation:** The diagram shows two blocks, labeled A and B, connected by a string labeled S. The string has mass \(m\). 1. **Determine whether the net force on each of the following is greater than, less than, or equal to the net force on the corresponding object or system in section I. Explain:** - **Block A** - **Block B** - **The system composed of the blocks and the connecting string** 2. **Compare the horizontal components of the following pairs of forces:** - **The force on the string by block A and the force on the rope by block A. Explain.** - **The force on the string by block B and the force on the rope by block B. Explain.** ### B. Suppose the mass of the string that connects blocks A and B becomes smaller and smaller, but the motion remains the same as in section I. What happens to: - **The magnitude of the net force on that connecting string?** - **The magnitudes of the forces exerted on that connecting string by blocks A and B?** ### C. A string exerts a force on each of the two objects to which it is attached. For a massless string, the magnitude of both forces is often referred to as "the tension in the string." Justify the use of this approach, in which a single value is assumed for the magnitude of both forces. _**Note:** This content is derived from "Tutorials in Introductory Physics II," a companion manual to introductory physics courses._
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 8 images

Blurred answer
Knowledge Booster
Third law of motion
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
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