Trajectory of a Spinning Tennis Ball
Consider a tennis ball with mass m and diameter d, moving in air near the earth surface. The ball is spinning with angular velocity \(\mathop \omega \limits^ \to \)(the vector \(\mathop \omega \limits^ \to \) has the direction of the axis of rotation and magnitude \(\omega = d\varphi (t)/dt = \mathop \varphi \limits^. (t) \), where \(\varphi (t)\) is an angle of rotation). We will impose a Cartesian coordinates system (xyz) on the surface of the earth with the z axis directed vertically.
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