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In Problem 5, imagine to be applied below the centerline. (a) Show that it is impossible, with this "reverse English," to reduce the forward speed to zero, without rolling having set in, unless h = R. (b) Show that it is impossible to give the ball a backward velocity unless has a downward vertical component.
It can be seen from equation above that for to become negative h < - R , so that the term h + R in the numerator becomes negative. However, for h < - R, , the stick will not hit the ball. Therefore, the billiard ball cannot reverse its velocity if the ball experiences only a horizontal force F.On the other hand, if the force F has a downward component, one can choose to increase the magnitude of this downward component without increasing the horizontal initial velocity of the ball, and it would become possible to get the ball move backwards.
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