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How can we calculate the friction resistance for a moving and rotating disk on a two-dimensional surface?

Consider a disk with mass m and radius R on the surface, where friction u is also involved. When we give this disk an initial speed v in the direction, the disk will move in that direction and slow down and stop.

If the disk rotates (or rotates with a rotational line perpendicular to the surface) w near the speed, then the disk will not move along the line, but instead bends. Both linear and angular speed will be 0 at the end.

How can I compute this snap / warp / drag? Is it possible to give an analytical solution for the function X (v, w, t), where X will determine the position of the disk from its initial vw for a given t?

Any hint of modeling would be fine too. I believe that depending on w and m and u there would be an additional speed perpendicular to the linear speed, and therefore the disk path would bend from the linear path.

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: http://hyperphysics.phy-astr.gsu.edu/HBASE/top.html

omega_p = mgr/I/omega

omega_p = rotational velocity...dependent on how quickly you want friction to slow the ball
m = ball mass
g = 9.8 m/s^2 (constant)
r = distance from c.g. (center of ball) to center, depends on angle of spin axis (solve for this)
omega = spin rate of ball
I = rotational inertia of a sphere

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To integrate the equations of motion, make sure your solver can handle abrupt transitions, such as when a disk stops.
A simple Euler solution with really great strides can be pretty good.

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