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abdossamad2003
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Suppose we leave an object on a non-sloping surface that rolls and moves forward without slipping. Does this object continue to move indefinitely?
Rolling without slipping in non-sloping surface
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- Thread starter abdossamad2003
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In summary: According to Newton's first law, an object left on a non-sloping surface that rolls and moves forward without slipping will continue to move indefinitely, as long as there is no external force acting on it. However, in reality, the ball will eventually slow down due to factors such as rolling resistance and air resistance. The friction force does not necessarily decrease velocity, but rather plays a role in deceleration. This is because friction is necessary for acceleration and deceleration, not for maintaining constant velocity. In the case of a rolling object, the friction force is zero and it will continue to roll uniformly on a frictionless surface. The amount of friction affects the distance traveled, with less friction resulting in longer distances. Rolling resistance
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Theoretically, Newton's first law applies.abdossamad2003 said:
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abdossamad2003
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but in free-body diagram, the friction force decrease velocity, isn't it?
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For rolling at constant velocity the friction force is zero. If the friction force were non-zero, then there would be a torque on the ball.abdossamad2003 said:
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abdossamad2003
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Given that the motion is rolling, it means that the friction is non-zero. Like a ball dropped on the ground.
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The friction is zero. The ball would continue to roll uniformly on a frictionless surface. Friction is only required for acceleration and deceleration.abdossamad2003 said:
In fact, if you add some air resistance to slow the ball down, then the friction acts in the direction of motion. In the opposite direction to what you have shown.
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abdossamad2003
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Consider two modes, one with low friction and the other with more friction
The rolling body travels longer distances on the surface with less friction.
The rolling body travels longer distances on the surface with less friction.
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It's rolling resistance, not friction, that determines the deceleration:abdossamad2003 said:
https://en.wikipedia.org/wiki/Rolling_resistance
The reason a wheel is so efficient is that there is effectively no friction for a uniformly rolling wheel.
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Note that, in particular, in your model the ball will be slowing down, but its rotation will be speeding up!abdossamad2003 said:
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abdossamad2003
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This diagram is probably correct because friction reduces rolling, but it contradicts Newton's second law.
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That diagram is equally wrong. Look at the Wikipedia page. Rolling resistance is complicated and cannot be reduced to a single force of friction.abdossamad2003 said:
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abdossamad2003
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because the motion is negative acceleration not possitive accelerationabdossamad2003 said:
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Baluncore
Science Advisor
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In practice or in theory?abdossamad2003 said:
The loss of energy will be a function of the distance traveled and the airspeed.
Theoretically the ball will gradually slow down, but will never quite stop.
Practically the surface will not be perfectly smooth, so the ball will stop at the foot of a hill.
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wrobel
Science Advisor
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If a body rolls without slipping on a surface then the friction force even if it is not vanished does not make work
FAQ: Rolling without slipping in non-sloping surface
What is rolling without slipping in a non-sloping surface?
Rolling without slipping in a non-sloping surface is a type of motion where an object, such as a wheel, moves forward without sliding or skidding. This means that the object's rotational motion and its translational motion are in sync, resulting in a smooth and efficient movement.
How is rolling without slipping different from sliding?
Rolling without slipping is different from sliding because in rolling, there is no relative motion between the object's point of contact with the surface and the surface itself. This is in contrast to sliding, where there is relative motion between the two surfaces.
What are the conditions for rolling without slipping to occur?
For rolling without slipping to occur, two conditions must be met: the object must have a non-zero angular velocity and there must be sufficient friction between the object and the surface to prevent sliding.
Can rolling without slipping occur on a sloping surface?
Yes, rolling without slipping can occur on a sloping surface as long as the slope is not too steep and the two conditions for rolling without slipping are met. In this case, the object will have a combination of translational and rotational motion as it moves down the slope.
How is rolling without slipping important in everyday life?
Rolling without slipping is important in everyday life as it is the basis for the efficient movement of many objects, such as wheels on a car or a bicycle. It also allows us to walk and run without slipping or falling, as our feet roll without slipping on the ground.