Does a Vertical Force Affect Horizontal Speed on a Frictionless Surface?

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Homework Help Overview

The discussion revolves around the effects of a vertical force on the horizontal speed of a ball rolling on a frictionless surface. The context involves concepts from mechanics, specifically relating to motion and forces in a vacuum.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore whether a vertical force can influence horizontal velocity on a frictionless surface, with some asserting that it cannot. Others question the conditions under which the ball rolls and the implications of the force applied.

Discussion Status

The discussion includes differing viewpoints on the nature of motion on a frictionless surface. Some participants provide insights into the conditions affecting rolling motion, while others challenge the assumptions made about the forces involved.

Contextual Notes

There are assumptions regarding the nature of the surface and the application of forces, as well as the definition of rolling motion in the context of a frictionless environment.

gunblaze
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Lets say i have a ball rolling horizontally at constant speed on a frictionless table in vacumm. When i exert a constant vertical force on the ball. Will the horizontal speed change due to the resultant force in the vertical direction? thx
 
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No. As long as its a frictionless surface, a vertical force won't result in any horizontal velocity change.
 
If its frictionless the ball won't be rolling.
 
whozum said:
If its frictionless the ball won't be rolling.
If the force that started the movement was not applied in a direction passing through the center of mass, the ball will roll even in a frictionless surface.
 
SGT said:
If the force that started the movement was not applied in a direction passing through the center of mass, the ball will roll even in a frictionless surface.

Only if the angular velocity was the exact amount such that for every 2pi radians swept the ball traveled [itex]2\piR[/itex] units of length.. which is way more assuming than necessary for the problem.
 

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