A ball on a carpet, while we pull it

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SUMMARY

The discussion revolves around a physics problem involving a 7-kilogram ball on a carpet being pulled with an acceleration of 2 m/s². The user calculated the pulling force to be 14 N but expressed uncertainty regarding the differing accelerations of the ball's center of gravity and its rolling motion. The relevant equations discussed include F=ma and the relationship between rolling and sliding motion, highlighting the importance of understanding rotational dynamics.

PREREQUISITES
  • Understanding Newton's Second Law (F=ma)
  • Knowledge of rotational motion and rolling dynamics
  • Familiarity with the concept of center of gravity
  • Basic principles of friction and its effects on motion
NEXT STEPS
  • Study the principles of rotational dynamics in physics
  • Learn about the effects of friction on rolling objects
  • Explore the concept of center of mass and its calculations
  • Investigate the differences between rolling and sliding motion
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the dynamics of rolling objects on surfaces.

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Homework Statement


I have a problem. Imagine there is a ball on a carpet, I start to pull the carpet. The mass of the ball is 7 kilograms and the acceleration of the whole thing is 2m/s^2. What is the force with which I am pulling the carpet. Also what is the acceleration of the center of gravity (it is different as the ball is only rolling and not sliding on the carpet).
Thank you for answering.

http://www.shrani.si/f/3N/mM/4CG1g2q2/neimenovana.jpg

Homework Equations


F=ma2
Jar=Fr

The Attempt at a Solution


I came up with F=14 N and a=1,4ms2 but am very unsure of the results.
 
Last edited by a moderator:
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Why should the the two accelerations different? Is the radius of the ball not supplied?
 

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