Rotation - Friction on Rolling Sphere

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cupid.callin
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Homework Statement


Free-body diagram of a sphere on an incline at angle θ, showing normal force N upward perpendicular to the slope, friction force f up the slope, and weight mg straight down.



The Attempt at a Solution



The sphere is rolling without sipping, so the lowermost point has 0 velocity ... so why would there be any friction?

I know that if there will be no friction .. sphere will just slide down and not roll but still as i said ... why will there be any friction?
 
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  • Free-body diagram of a sphere resting on an incline at angle θ, with arrows for the normal force N upward, friction f up the slope, and weight mg downward.
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cupid.callin said:
The sphere is rolling without sipping, so the lowermost point has 0 velocity ... so why would there be any friction?
There will be static friction acting at the lowest point. Friction acts to prevent slipping between surfaces--which is exactly what it's doing here. Without friction providing a torque about the center of mass, how could the sphere continue to roll without slipping as it accelerates down the slope?
 
Doc Al said:
There will be static friction acting at the lowest point. Friction acts to prevent slipping between surfaces--which is exactly what it's doing here. Without friction providing a torque about the center of mass, how could the sphere continue to roll without slipping as it accelerates down the slope?

OMG! This was simple ...

I feel like becoming stupider day by day :redface:

Sorry for trouble Doc Al :-p