Is Friction Necessary for Rolling Without Slipping?

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In summary, frictional force is necessary for rolling without slipping if there are external forces present. If there are no external forces, then the idealized friction force is zero. Providing torque to a solid sphere on a frictionless surface will result in the sphere spinning without moving linearly. Static friction arises when a body is rolling without slipping, while kinetic friction arises when there is slippage of any kind. In both cases, some energy is being converted into heat.
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andyrk
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Is frictional force necessary for rolling without slipping? If yes then does that mean that if we provide torque to a solid sphere on a frctionless surface will it nor rotate? I didn't understand that when does static frction arise and when does kinetic friction arise when a body is rolling withoout slipping or with slipping. Any explanation would be of great help!
 
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andyrk said:
Is frictional force necessary for rolling without slipping?
It's required if there's another external force, such as wind, or gravity on a sloped surface. If there are no external forces, then the idealized friction force (no losses) is zero.

andyrk said:
If yes then does that mean that if we provide torque to a solid sphere on a frctionless surface will it not rotate?
It meas the sphere will spin without moving linearly.

andyrk said:
when does static frction arise and when does kinetic friction arise when a body is rolling withoout slipping or with slipping. Any explanation would be of great help!

Rolling without slipping - static friction force (or zero force), ideally, no energy losses.

Slippage of any kind - kinetic friction, some energy is being converted into heat.
 

FAQ: Is Friction Necessary for Rolling Without Slipping?

What is the difference between rolling with and without slipping?

Rolling without slipping refers to the motion of an object where there is no relative sliding between the object and the surface it is rolling on. This means that the object rotates and translates at the same time, without any slipping or skidding. On the other hand, rolling with slipping occurs when there is relative motion between the object and the surface, resulting in some parts of the object slipping or skidding on the surface while it rolls.

How is the acceleration of an object rolling without slipping calculated?

The acceleration of an object rolling without slipping can be calculated using the equation a = (α - Rβ)/2, where a is the acceleration of the object, α is the angular acceleration, R is the radius of the object, and β is the linear acceleration of the center of mass of the object.

Can an object roll without slipping on any surface?

No, an object can only roll without slipping on surfaces with a coefficient of static friction that is greater than or equal to the ratio of the object's radius to its diameter. This is known as the rolling without slipping condition.

What is the significance of rolling without slipping in real-life applications?

Rolling without slipping is essential in many real-life applications, such as in the design of wheels and tires for vehicles. It allows for efficient and smooth rolling motion, reduces wear and tear, and provides better traction and control.

Can an object roll without slipping if the surface is not perfectly smooth?

Yes, an object can still roll without slipping on surfaces that are not perfectly smooth, as long as the surface has enough friction to prevent slipping. In fact, most surfaces in the real world are not perfectly smooth, and objects can still roll without slipping on them as long as the rolling without slipping condition is satisfied.

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