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Find the ratio of the height h of a cushion on a snooker table to the radius r of a ball as shown in figure 24, such that when the ball hits the cushion with a pure rolling motion it rebounds with a pure rolling motion. (Assume that the force exerted on the ball by the cushion is horizontal during the impact and that the ball hits the cushion normally.) Figure 24

Find the ratio of the height h of a cushion on a snooker table to the radius r of a ball as shown in figure 24, such that when the ball hits the cushion with a pure rolling motion it rebounds with a pure rolling motion. (Assume that the force exerted on the ball by the cushion is horizontal during the impact and that the ball hits the cushion normally.) Figure 24

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Find the ratio of the height h of a cushion on a snooker table to the radius r of a ball as shown in figure 24, such that when the ball hits the cushion with a pure rolling motion it rebounds with a pure rolling motion. (Assume that the force exerted on the ball by the cushion is horizontal during the impact and that the ball hits the cushion normally.) Figure 24
Transcribed Image Text:Find the ratio of the height h of a cushion on a snooker table to the radius r of a ball as shown in figure 24, such that when the ball hits the cushion with a pure rolling motion it rebounds with a pure rolling motion. (Assume that the force exerted on the ball by the cushion is horizontal during the impact and that the ball hits the cushion normally.) Figure 24
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