Rolling on flat floor, rolling down an inclined plane?

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SUMMARY

When an object rolls on a flat surface, friction ceases to act when the velocity at the circumference equals the velocity at the center of mass, resulting in no angular acceleration or torque. However, when rolling down an inclined plane, angular acceleration occurs due to the gravitational force, which generates torque and necessitates friction to maintain motion. The stationary point of contact on the inclined plane does not eliminate friction, as it is essential for balancing the forces acting on the rolling object.

PREREQUISITES
  • Understanding of angular acceleration and torque
  • Knowledge of frictional forces in rolling motion
  • Familiarity with the concepts of center of mass and velocity
  • Basic principles of physics related to motion on inclined planes
NEXT STEPS
  • Study the principles of torque in rotational dynamics
  • Learn about the role of friction in rolling motion
  • Explore the effects of gravitational forces on inclined planes
  • Investigate the relationship between linear and angular velocity in rolling objects
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Physics students, educators, and anyone interested in understanding the mechanics of rolling motion and the effects of friction on inclined planes.

applestrudle
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When rolling on a flat floor when the velocity at the circumference equals the velocity at the centre of mass the friction stops acting right? SO why does't that happen when it is rolling down an inclined plane? If it is rolling shouldn't the point in contact with the inclined plane be stationary relative to the inclined plane (therefore no friction just like on the flat floor)??

Please explain this to me

:confused:
 
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hi applestrudle! :smile:
applestrudle said:
When rolling on a flat floor when the velocity at the circumference equals the velocity at the centre of mass the friction stops acting right?

when rolling at constant speed, there is no angular acceleration (and, incidentally, no horizontal linear acceleration)

so there is no torque

so no friction​

(when rolling at constant speed against air resistance and/or against an external frictional torque at the axle, the total torque must be zero, so the friction with the road must be non-zero so as to balance out the air resistance or axle friction:

so you see, the stationaryness of the point of contact is irrelevant)
SO why does't that happen when it is rolling down an inclined plane? If it is rolling shouldn't the point in contact with the inclined plane be stationary relative to the inclined plane (therefore no friction just like on the flat floor)??

when rolling downhill, there is angular acceleration

so there is torque (and the torque of both the weight and the normal force about the centre of mass is zero) …

so there is friction :wink:
 

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