Effects of Rolling Resistance on Tension and Acceleration in an Atwood Machine

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SUMMARY

The forum discussion focuses on the effects of rolling resistance on tension and acceleration in an Atwood Machine setup. Participants analyzed the tension in the string and the acceleration of the hanging mass while considering the impact of rolling resistance. Calculations using Newton's laws indicated that both the tension and the acceleration were less than the gravitational force acting on the hanging mass. The discussion also explored how eliminating rolling resistance would affect these values, revealing that while the changes were minimal, they were still significant in understanding the dynamics of the system.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with Atwood Machine mechanics
  • Knowledge of rolling resistance and its effects on motion
  • Ability to create and interpret Free Body Diagrams (FBDs)
NEXT STEPS
  • Study the principles of rolling resistance in mechanical systems
  • Learn how to derive equations of motion for an Atwood Machine
  • Explore the concept of Free Body Diagrams in physics
  • Investigate the effects of friction on acceleration in various mechanical setups
USEFUL FOR

Students in physics courses, educators teaching mechanics, and anyone interested in understanding the dynamics of systems involving tension and acceleration, particularly in the context of Atwood Machines.

a78
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We had a lab using an Atwood Machine with block A being on the surface and block B as the hanging object with different masses each round. Rolling resistance was present. Question 1 asked whether or not the tension in the string was less than, greater than or equal to the magnitude of the gravitation force acting on the hanging mass (as the objects are accelerating). Question 2 asked, while the carts were accelerating, was the acceleration of the hanging mass less than, greater than or equal to the standard gravitational acceleration. After applying Newtons law, I calculated that for both q1 and q2 the values were less than.

Q3 asks how would your answers to the first two questions change if the rolling resistance of the cart could be reduced to zero? Explain why this must be. I calculated this by doing Fnet(y)=-ma(y) and my answers were slightly smaller but insignificant. I am not sure why this is.
 
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a78 said:
We had a lab using an Atwood Machine with block A being on the surface and block B as the hanging object with different masses each round. Rolling resistance was present. Question 1 asked whether or not the tension in the string was less than, greater than or equal to the magnitude of the gravitation force acting on the hanging mass (as the objects are accelerating). Question 2 asked, while the carts were accelerating, was the acceleration of the hanging mass less than, greater than or equal to the standard gravitational acceleration. After applying Newtons law, I calculated that for both q1 and q2 the values were less than.

Q3 asks how would your answers to the first two questions change if the rolling resistance of the cart could be reduced to zero? Explain why this must be. I calculated this by doing Fnet(y)=-ma(y) and my answers were slightly smaller but insignificant. I am not sure why this is.
Welcome to the PF.

First, please use the Homework Help Template that you are provided when starting a new schoolwork thread here. I'll paste in a copy below.

Also, it's very hard to visualize the setups you are asking about. Can you post sketches or pictures of the situations? Also, can you draw Free Body Diagrams (FBDs) for all of the pieces involved? Thanks.

Homework Statement

Homework Equations

The Attempt at a Solution

 
There was a track on the table and a cart was placed on it. There was a pulley attached to the cart and hanging at the edge of the table was a "hanging mass". On block A there was rolling resistance/friction between the block and the table as well as Fg and tension from the pulley/string. On block B there was Fg as well as tension from the rope. (This is my first time posting so I'm not sure how to ad in a drawing).
 

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