How Far Will a Rolling Ball Go?

AI Thread Summary
A ball rolling on a horizontal rough floor will eventually stop due to rolling resistance rather than friction. The primary factor in this resistance is the energy loss from the deformation of both the ball and the surface it rolls on. Although kinetic friction plays a role during the deformation at the contact patch, static friction does not contribute to stopping the ball. The distance the ball travels before stopping is influenced by these forces and torques acting on it. Understanding these dynamics is crucial for analyzing the motion of rolling objects.
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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