Newton's Laws and Force Problem

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SUMMARY

The discussion focuses on a physics problem involving Newton's laws, specifically applied to a chain of three identical links, each with a mass of 380g. The student successfully calculated the acceleration of the chain as 0.726 meters per second squared using the equation F=ma, where an upward force of 12N is applied. However, the student struggles with determining the force exerted by the top link on the middle link. The solution involves drawing Free Body Diagrams for each link to visualize the forces acting upon them.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with Free Body Diagrams
  • Basic knowledge of force and mass calculations
  • Proficiency in algebra for solving equations
NEXT STEPS
  • Learn how to construct Free Body Diagrams for multi-link systems
  • Study the application of Newton's second law in various contexts
  • Explore tension forces in connected objects
  • Investigate the concept of internal forces in a system
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Students studying physics, particularly those focusing on mechanics and forces, as well as educators looking for examples of applying Newton's laws in practical scenarios.

Yosty22
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Homework Statement


A student tries to raise a chain consisting of three identical links. Each link has a mass of 380g. The three-piece chain is connected to a string and then suspended vertically, with the student holding the upper end of the string and pulling upward. Because of the student's pull, an upward force of 12N is applied to the chain by the string. Use Newton's laws to answer the following questions.
a). Find the acceleration of the chain.
b). Find the force exerted by the top link on the middle link.

Homework Equations



F=ma
F_A on B= -F_B on A

The Attempt at a Solution



I can't for the life of me figure out letter b. For a), I did:
T-mg=ma
12-(.380*3)(9.8)=(0.380*3)a
Solve for a, get:
acceleration = 0.726 meters per second squared.
This is the correct answer. However, I have no idea at all how to set up or solve part B.
 
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Yosty22 said:

Homework Statement


A student tries to raise a chain consisting of three identical links. Each link has a mass of 380g. The three-piece chain is connected to a string and then suspended vertically, with the student holding the upper end of the string and pulling upward. Because of the student's pull, an upward force of 12N is applied to the chain by the string. Use Newton's laws to answer the following questions.
a). Find the acceleration of the chain.
b). Find the force exerted by the top link on the middle link.


Homework Equations



F=ma
F_A on B= -F_B on A

The Attempt at a Solution



I can't for the life of me figure out letter b. For a), I did:
T-mg=ma
12-(.380*3)(9.8)=(0.380*3)a
Solve for a, get:
acceleration = 0.726 meters per second squared.
This is the correct answer. However, I have no idea at all how to set up or solve part B.
Draw a Free Body Diagram for the bottom link.

Draw a Free Body Diagram for the middle link. (Maybe this one is all you need.)

Draw a Free Body Diagram for the top link.
 

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