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I already know sliding friction of ball on a flat table and rolling resistance of it.

How do I know coefficient of friction value when the ball has backspin with some angular velocity $\omega$? And also when it overspins (spinning faster than it would when rolling).

Also, we consider a ball with sidespin (spin around z axis), but with no spin around other axes sliding?

Also, does sidespin affect the coefficient of friction at all?

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The coefficient of dry friction is in general independent of the speed and therefore also of direction. Front/back spin will lead to forward acceleration/deceleration. Vertical spin will have no effect on forward motion.

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  • $\begingroup$ Question was different. Let's say I have a force F=µmg, where µ is sliding coefficient of friction. Which is acting to transfer angular velocity into translational velocity. Does this µ change depending on the type of spin (backspin/overspin) of the ball? $\endgroup$ – user2229336 Jun 13 '18 at 8:32
  • $\begingroup$ What I read in one research that "a spinning disk experiences less friction and slides farther than a disk without rotation" link. So possibly you were not correct that "Vertical spin will have no effect on forward motion." $\endgroup$ – user2229336 Jun 14 '18 at 5:44
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The friction experienced by the ball/rolling object experiencing backspin or topspin will be the sum of sliding friction and rolling friction. This is because extra spin on the ball is just a linear combination of sliding and rolling. Putting sidespin will not affect the friction as long as it is perpendicular to the direction of motion.

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