A smooth billiard ball is projected from a point A on the edge of a circular billiard table in a direction making an angle with the radius to A. The coefficient of restitution is e. The ball makes q impacts with the wall before returning to A. Show that (a) $ = 0 if q = 1, (1) tan? o = e/(1+e +e?) if q= 2, tan? o = e if q= 3. (ь) (2) (c) (3)
A smooth billiard ball is projected from a point A on the edge of a circular billiard table in a direction making an angle with the radius to A. The coefficient of restitution is e. The ball makes q impacts with the wall before returning to A. Show that (a) $ = 0 if q = 1, (1) tan? o = e/(1+e +e?) if q= 2, tan? o = e if q= 3. (ь) (2) (c) (3)
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Transcribed Image Text:A smooth billiard ball is projected from a point A on the edge of a circular billiard table
in a direction making an angle with the radius to A. The coefficient of restitution is
e. The ball makes q impacts with the wall before returning to A. Show that
(a)
0 = 0 if q= 1,
(1)
tan? ø = e°/(1+e + e²) if q= 2,
tan? o = e if q= 3.
(ь)
(2)
(c)
(3)
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