How Far Will a Rolling Ball Go?

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SUMMARY

A rolling ball on a horizontal rough floor will eventually stop due to rolling resistance, which primarily results from energy loss during the deformation of both the ball and the surface it rolls on. The torque acting on the ball is influenced by this rolling resistance rather than kinetic friction, as sliding friction is not a significant factor in this scenario. Understanding these forces is crucial for accurately predicting the distance a ball will travel before coming to a stop.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the concept of rolling resistance
  • Basic knowledge of torque and its effects
  • Awareness of kinetic and static friction differences
NEXT STEPS
  • Research the mathematical models for calculating rolling resistance
  • Explore the effects of surface materials on rolling resistance
  • Learn about the physics of torque in rotational motion
  • Investigate the role of deformation in energy loss during rolling
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in the dynamics of rolling motion and energy loss in mechanical systems.

Soumyajit6
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If a ball is given a velocity, and left on horizontal rough floor then after what distance it will stop rollig (slippingis absent) ?
Explain with force and torque acting on it .
 
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Friction isn't required to slow and stop the rotation of a ball. The main reason for the torque is related to rolling resistance, most of which is due to energy loss from deformation as the surface of the ball compresses and then expands. There's also energy loss as the surface the ball is rolling on also compresses and expands. Kinectic (sliding) friction that occurs during the deformation at the contact patch, such as squirming, is also a component of rolling resistance (and for this component the friction does matter, but not static friction).

Wiki article:

http://en.wikipedia.org/wiki/Rolling_resistance
 

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